## Fractions in Year 5 (age 9–10)

In Year 5, your child will continue to learn about fractions as numbers, measures, and operators. They will now extend their knowledge of fractions to thousandths, and will start learning about percentages.

## What your child will learn

Take a look at the National Curriculum expectations for fractions in Year 5 (ages 9–10):

## Compare and order fractions

Your child will learn to compare fractions with denominators that are multiples of the same number. For example:

is less than (also written as < ).

Your child will also order fractions whose denominators are all multiples of the same number. For example:

Put the fractions , , , , and in order from least to greatest. , , , , .

## Identify equivalent fractions

## Use mixed numbers and improper fractions

Your child will recognise mixed numbers and improper fractions , and will be able to convert one to the other.

## Add and subtract fractions with denominators that are multiples of the same number

Your child will use drawings, diagrams, and symbols to add and subtract fractions with the same denominator, and denominators that are multiples of the same number. For example:

+ = . + = = .

## Multiply proper fractions and mixed numbers by whole numbers

Children will use objects and diagrams to:

## Read and write decimal numbers as fractions

Your child will be able to understand the equivalence between decimals and fractions. For example:

## Use tenths, hundredth, thousandths, and their decimal equivalents

They will be able to mentally add and subtract tenths, as well as mixed numbers that have one-digit whole numbers and tenths.

## Round numbers to one decimal place

Your child will round numbers with two decimal places up or down to the nearest whole number. For example, 3.45 will round down to 3.

They will also round numbers with two decimal places up or down to one decimal place. For example, 2.67 will round up to 2.7.

## Compare numbers with three decimal places

Your child will learn to read, write, order and compare decimal numbers with up to three decimal places.

For example, they will be able to:

- read and write numbers with three decimal places (for example, 1.454, 1.764, 1.654, 1.453)
- put them in order (for example, 1.453, 1.454, 1.654, 1.764)
- compare them (for example, 1.453 < 3.454).

## Solve problems involving numbers with three decimal places

Understand and use percentages.

Your child will know that percentages, decimals, and fractions are different ways of expressing proportions.

They will make connections between percentages, fractions, and decimals. For example:

100% = 1 1% = = 0·01 50% = = 0·5 25% = = 0·25

Your child will also recognise the percent symbol (%) and understand that ‘percent’ means ‘number of parts per hundred’. They will be able to write percentages as a fraction with denominator 100, and as a decimal fraction.

## Compare percentages to fractions and decimals

## How to help at home

There are lots of ways you can help your child to understand fractions. Here are just a few ideas.

## 1. Explore mixed numbers and improper fractions

Mixed numbers and improper fractions can be difficult for your child to grasp at first.

It often helps children to learn about these types of fractions visually. Diagrams can help their understanding:

## Fraction Calculations in School

Ask your child to gather a number of pizza slices to make an improper fraction. Can they use these slices to show a mixed fraction? Can your child write down a mathematical way to reach the same answer?

## 2. Add and subtract fractions

Adding fractions.

In Year 5, your child will continue to add and subtract fractions. They will now be expected to add and subtract fractions whose denominators are multiples of the same number. For example:

+ = ? First they will need to find the lowest common denominator (i.e. the smallest multiple of the two numbers). The lowest common denominator here is 8, because it is the smallest number both 4 and 8 will divide into equally. Your child will then have to multiply the numerator and the denominator by 2 to represent in eighths: Your child will now be able to add the fractions: + = – =

## Subtracting fractions

Your child will follow a similar process to subtract fractions like these. For example:

– = ? Your child will first need to find the lowest common denominator , which is 12. So, will become as the numerator and the denominator will each be multiplied by 4. The will become as the numerator and the denominator will each be multiplied by 3. Your child will then be able to subtract from to leave . – = – =

## More practice

You could practise calculating with fractions using the pizza cutouts in the Fraction Calculations in School booklet.

## 3. Multiply fractions by whole numbers

Your child will learn to multiply proper fractions and mixed numbers by whole numbers.

## 4. Investigate decimals

Show your child a number with 3 decimal places and ask them to tell you how many tenths, hundredths, or thousandths it has. For example, the number 4·203 has two tenths, zero hundredths, and three thousandths.

Place value charts can help your child to better understand decimal numbers:

Look for examples of these numbers in the real world and point them out to your child.

For example, when filling the car with petrol, ask your child to tell you what the number is by explaining how many tenths, hundredths, or thousandths it has. You could also ask them to round the total price or the total amount of petrol up or down to the nearest whole number, tenth, or hundredth. For instance, if you used 56.784 litres of petrol, you could ask your child to round this to the nearest litre (57L), tenth (56.8L), or hundredth (56.78L).

## 5. Investigate percentages

In Year 5, your child will be introduced to percentages. Talk about how ‘percent’ means ‘number of parts per hundred’.

Sales at the shops can provide great real-life opportunities to work with percentages. For example, you could ask your child to help you work out the sale price of an item. If there is 30% off a T-shirt and the full price is £9.99, what is 30% of the full price and what is the sale price?

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## Fractions Worksheets

Fraction worksheets for grades 1 through 6.

Our fraction worksheets start with the introduction of the concepts of " equal parts ", "parts of a whole" and "fractions of a group or set"; and proceed to operations on fractions and mixed numbers.

## Choose your grade / topic:

Grade 1 fraction worksheets, grade 2 fraction worksheets, grade 3 fraction worksheets.

Fraction worksheets

Fractions to decimals

Fraction addition and subtraction

Fraction multiplication and division

Converting fractions, equivalent fractions, simplifying fractions

Fraction to / from decimals

Fraction addition and subtraction

Fraction multiplication and division worksheets

Fraction to / from decimals

Topics include:

- Identifying "equal parts"
- Dividing shapes into "equal parts"
- Parts of a whole
- Fractions in words
- Coloring shapes to make fractions
- Writing fractions
- Fractions of a group or set
- Word problems: write the fraction from the story
- Equal parts
- Numerators and denominators of a fraction
- Writing fractions from a numerator and denominator
- Reading fractions and matching to their words
- Writing fractions in words
- Identifying common fractions (matching, coloring, etc)
- Fractions as part of a set or group (identifying, writing, coloring, etc)
- Using fractions to describe a set
- Comparing fractions with pie charts (parts of whole, same denominator)
- Comparing fractions with pie charts (same numerator, different denominators)
- Comparing fractions with pictures (parts of sets)
- Comparing fractions with block diagrams
- Understanding fractions word problems
- Writing and comparing fractions word problems
- Identifying fractions
- Fractional part of a set
- Identifying equivalent fractions
- Equivalent fractions - missing numerators, denominators
- 3 Equivalent fractions
- Comparing fractions with pie charts (same denominator)
- Comparing proper fractions with pie charts
- Comparing proper or improper fractions with pie charts
- Compare mixed numbers with pie charts
- Comparing fractions (like, unlike denominators)
- Compare improper fractions, mixed numbers
- Simplifying fractions (proper, improper)
- Adding like fractions
- Adding mixed numbers
- Completing whole numbers
- Subtracting like fractions
- Subtracting a fraction from a whole number or mixed number
- Subtracting mixed numbers
- Converting fractions to / from mixed numbers
- Converting mixed numbers and fractions to / from decimals
- Fractions word problems

## Grade 4 fraction worksheets

- Adding like fractions (denominators 2-12)
- Adding like fractions (all denominators)
- Adding fractions and mixed numbers (like denominators)
- Subtracting like fractions (denominators 2-12)
- Subtracting fractions from whole numbers, mixed numbers
- Subtracting mixed numbers from mixed numbers or whole numbers
- Comparing improper fractions and mixed numbers with pie charts
- Comparing proper and improper fractions
- Ordering 3 fractions
- Identifying equivalent fractions (pie charts)
- Writing equivalent fractions (pie charts)
- Equivalent fractions with missing numerators or denominators

## Grade 4 fractions to decimals worksheets

- Convert decimals to fractions (tenths, hundredths)
- Convert decimals to mixed numbers (tenths, hundredths)
- Convert fractions to decimals (denominator of 10 or 100)
- Convert mixed numbers to decimals (denominator of 10 or 100)

## Grade 5 addition and subtraction of fractions worksheets

- Adding like fractions (denominators 2-25)
- Adding mixed numbers and / or fractions (like denominators)
- Adding unlike fractions & mixed numbers
- Subtracting fractions from whole numbers and mixed numbers (same denominators)
- Subtracting mixed numbers with missing subtrahend or minuend)
- Subtracting unlike fractions
- Subtracting mixed numbers (unlike denominators)
- Word problems on adding and subtracting fractions

## Grade 5 fraction multiplication and division worksheets

- Multiply fractions by whole numbers
- Multiply fractions by fractions
- Multiply improper fractions
- Multiply fractions by mixed numbers
- Multiply mixed numbers by mixed numbers
- Missing factor questions
- Divide whole numbers by fractions (answers are whole numbers)
- Divide a fraction by a whole number and vice versa
- Divide mixed numbers by fractions
- Divide fractions by fractions
- Mixed numbers divided by mixed numbers
- Word problems on multiplying and dividing fractions
- Mixed operations with fractions word problems

## Grade 5 converting, simplifying & equivalent fractions

- Converting improper fractions to / from mixed numbers
- Simplifying proper fractions
- Simplifying proper and improper fractions
- Equivalent fractions (2 fractions)
- Equivalent fractions (3 fractions)

## Grade 5 fraction to / from decimals worksheets

- Convert decimals to fractions (tenths, hundredths), no simplification
- Convert decimals to fractions (tenths, hundredths), with simplification
- Convert decimals to mixed numbers
- Convert fractions to decimals (denominators of 10 or 100)
- Convert mixed numbers to decimals (denominators of 10 or 100)
- Convert mixed numbers to decimals (denominators of 10, 100 or 1000)
- Convert fractions to decimals (common denominators of 2, 4, 5, ...)
- Convert mixed numbers to decimals (common denominators of 2, 4, 5, ...)
- Convert fractions to decimals, some with repeating decimals

## Grade 6 addition and subtraction of fractions worksheets

- Adding unlike fractions
- Adding fractions and mixed numbers
- Adding mixed numbers (unlike denominators)
- Subtract unlike fractions
- Subtract mixed numbers (unlike denominators)

## Grade 6 fraction multiplication and division worksheets

- Fractions multiplied by whole numbers
- Fractions multiplied by fractions
- Mixed numbers multiplied by fractions
- Mixed numbers multiplied by mixed numbers
- Whole numbers divided by fractions
- Fractions divided by fractions
- Mixed numbers divided by mixed nuymbers
- Mixed multiplication or division practice

## Grade 6 converting, simplifying and equivalent fractions worksheets

- Convert improper fractions to / from mixed numbers
- Simplify proper fractions
- Simplify proper and improper fractions
- Equivalent fractions (4 fractions)

## Grade 6 fraction to / from decimals worksheets

- Convert decimals to fractions, with simplification
- Convert decimals to mixed numbers, with simplification
- Convert fractions to decimals (denominators are 10 or 100)
- Convert fractions to decimals (various denominators)
- Convert mixed numbers to decimals (various denominators)

## Related topics

Decimals worksheets

Word problem worksheets

Sample Fractions Worksheet

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## Free Year 5 Maths Worksheets And Homework – Download, Print, Or View Online

Anantha anilkumar.

Here you’ll find all our Year 5 maths worksheets, and Year 5 maths tests that are suitable for use during classroom lessons and as homework.

- What to expect from our Year 5 Maths worksheets

These KS2 maths worksheets cover every part of the Year 5 primary maths curriculum, to help your children practise and gain confidence in their understanding ahead of Year 6 and the KS2 SATs . Their focus is on retrieval practice – going over topics that children should already have covered and helping them strengthen their knowledge and understanding.

Most of our worksheets come in pdf format, and all of them are printable. But if you’re running out of printer ink, they can be viewed online too.

Every Year 5 maths test or worksheet comes with its own answer sheet, and guidance from the National Curriculum is included wherever it might be needed (for example, if there might be more than one correct answer for a question). Some worksheets also include model answers to help children break down the best way to solve a problem.

Note: The National Curriculum does not specify any place value teaching for Year 5. However this is often a good time to begin revising the topic (among others) in preparation for the KS2 SATs. Have a look at these place value worksheets as part of your revision.

Similarly, addition and subtraction work is largely an extension of what was covered in previous years. Take a look at our collection of addition and subtraction worksheets for practice materials for these topics.

If you’re a parent looking for more advice, try our home learning hub full of home learning packs , tips and teaching ideas for Year 5 Maths at Home and maths homework .

If you’re a teacher or school leader who is interested in improving maths attainment in your school or classroom, then this whole website is for you. Third Space Learning is dedicated to improving outcomes in maths with our online tutoring programme of maths interventions , together with maths resources and CPD.

## Free Year 5 Maths Worksheets and Tests

A collection of worksheets and activities suitable for home learning from the Third Space Maths Hub. Register (for free) to download. Use Google Chrome

## Year 5 Place Value Worksheets

Year 5 addition and subtraction worksheets, year 5 multiplication and division worksheets, year 5 fractions worksheets, year 5 decimals and percentages worksheets, year 5 statistics worksheets, year 5 measurement worksheets, year 5 maths tests, year 5 mental maths and arithmetic worksheets: fluent in five.

One of our most popular resources with parents and teachers and a great way to start or end the day, Fluent in Five worksheets include 5-10 minutes worth of quick arithmetic questions designed to help children become quicker at making mental or written calculations.

Children are given around 5 questions per maths worksheet – more than in previous years – to get them used to completing more questions in a short space of time ahead of Year 6 and the KS2 maths arithmetic paper.

Download the free Year 5 mental maths worksheets

## Year 5 Maths reasoning and problem solving worksheets: Rapid Reasoning

Reasoning is one of the key maths skills pupils are expected to show by the time they take the Key Stage 2 SATs, and our Rapid Reasoning worksheets give them plenty of extra practice! This pack comes with six weeks of questions, with around three to four word problems to solve per day.

Download the free Year 5 maths reasoning worksheets

## Year 5 Maths worksheets place value: Code Crackers

Place value is one of the most important topics in the mathematics curriculum. This fun worksheet covers key elements of the Year 5 place value curriculum including Roman numerals, negative numbers and rounding.

Use this free resource to recap Year 5 place value learning whilst finding the punchline to a pirate themed joke.

Download the Year 5 Code Crackers Place Value worksheets

## Year 5 Maths worksheets place value: All kind of word problems

Place value is the basis of all mathematical knowledge. This workbook encourages children to deepen their understanding of place value through a range of different problems. Children will focus on understanding and rounding decimal numbers in context (money) creating numbers with different values and understanding Roman numerals in context (years written in Roman numerals).

Download Year 5 place value worksheets: All kind of word problems

## Year 5 Maths worksheets place value: Worked Examples

As larger numbers are introduced, children can find the topic of place value more challenging. This worksheet focuses on common misconceptions and encouraging children to identify and explain errors, therefore developing their reasoning skills.

Download Year 5 place value worksheet: Worked Examples

## Year 5 Maths worksheets addition and subtraction: Let’s practise using the bar model

Year 5 children will not only need to know how to add and subtract numbers with more than 4-decimal places, they will also need to add and subtract decimal numbers. This worksheet focuses on solving worded problems that include these elements, while also introducing the very useful visual element of a bar model.

Download Year 5 addition and subtraction worksheets: Let’s practise using the bar model

## Year 5 Maths worksheets addition and subtraction: Worked Examples

Children can often make errors when using formal written methods of addition and subtraction, estimating or mental arithmetic methods. This worksheet encourages children to consider and discuss common errors that could be encountered.

Download Year 5 addition and subtraction worksheets: Worked Examples

## Year 5 Maths worksheets addition and subtraction: All kinds of word problems

This resource encourages children to think about maths in a more open ended way. In this workbook, children are presented with a range of problems to solve and not all of them will have one answer only. From checking the addition and subtraction answers to writing a range of ways to create a number, pupils will be challenged with this resource.

Download Year 5 addition and subtraction worksheets: All kinds of word problems

## Year 5 Maths worksheets addition and subtraction: Code Crackers

Sometimes, some simple retrieval questions to round up a topic is all that is needed. This resource focuses on adding and subtracting numbers with 4 or more digits to find the answer to a space themed joke.

Download Year 5 worksheets addition and subtraction: Code Crackers

## Year 5 Maths worksheets on Times Tables: Tarsia Puzzles

By the time children start in Year 5, they are expected to know all their times tables in any order and the related division facts. These worksheets are a fun way to practise times tables facts independently and develop mental arithmetic skills for any children who are less confident.

Download Year 5 Tarsia Puzzles Mixed Times Tables Pack

## Year 5 Maths Worksheets for long multiplication

By the end of Year 5, children are expected to be able to multipy up to 4-digit numbers by 1- and 2-digit numbers, and multiply decimal and whole numbers by multiples of 10 up to 1000, according to the National Curriculum.

These worksheets help pupils improve their skills with the former, with 45 questions ranging from multiplying 2-digit numbers by other 2-digit numbers all the way to multiplying 4-digit numbers. Each worksheet also comes with an answer scheme and modelled answers to show children how to correctly lay out their long multiplication calculations.

Download the free Year 5 Long Multiplication Worksheets

## Year 5 Maths worksheets multiplication: All kinds of word problems

This workbook focuses on a range of different multiplication problems that require multiple steps to find an answer. The questions include comparison statements, complete the multiplication grid and multiplication questions involving money.

Download Year 5 multiplication worksheets: All kinds of word problems

## Year 5 Maths worksheets multiplication: Let’s practise using the bar model

Children can find worded problems challenging to answer. This worksheet focuses on recapping multiplication facts up to 12 x 12 then progressing to up to 3-digit numbers multiplied by teen numbers. While this may seem challenging, the addition of the bar models helps pupils to visualise and answer the more complex problems.

Download Year 5 multiplication worksheets: Let’s practise using the bar model

## Year 5 Maths Worksheets for long division

Long division is one of the most difficult parts of the primary maths curriculum. This set of 3 worksheets helps children practice it in stages, including several short division questions to begin with to help them get warmed up before tackling the harder questions.

Download the free Year 5 Long Division Worksheets

## Year 5 Maths Worksheets for multiplication & division: Code Crackers

Our Code Crackers worksheets give children a fun way to revise their knowledge of a topic. Each Code Crackers worksheet includes a series of questions – in this case multiplication and division problems – based on what they have learned that year, and the answers can be put together to make the punchline of a joke!

In Year 5 children will mostly be practising long multiplication and division, but some short division/short multiplication questions are also included, to help them keep their knowledge of the basics sharp.

Download the free Year 5 Multiplication and Division Worksheets

## Year 5 Maths Worksheets for multiplication & division: Worked Examples

There is a lot of content to cover for multiplication and division in Year 5, which is why we made two different worked examples worksheets. The first worksheet covers common misconceptions found when learning about prime numbers, square numbers, multiplying or dividing by a power of ten and factors. The second worksheet covers multiply 4-digit numbers by 1-digit numbers (and two 2-digit numbers) and dividing a 4-digit number by a 1-digit number.

Download Year 5 multiplication & division worksheet 1: Worked Examples

Download Year 5 multiplication & division worksheet 2: Worked Examples

## Year 5 Maths Worksheets on fractions: Code Crackers

By Year 5, children have learned about both equivalent fractions and improper fractions, and even begun combining the two. Our Code Crackers fractions worksheet helps them get even more practice in solving these complicated questions.

Download the free Year 5 Fractions Worksheets

## Year 5 Maths Worksheets on fractions: Independent Recap

Our newest style of maths worksheets, independent recap sheets are meant to be completed by children with little extra support, making them perfect home learning or homework activities.

This Year 5 maths worksheet focuses on finding fractions of amounts, and includes an arithmetic warm up involving adding and subtracting fractions, before moving onto reasoning questions that test how well children have learned how to calculate fractions of amounts.

Download the free Year 5 Fractions of Amounts Worksheet

## Year 5 Maths worksheet on fractions: worked examples

There are certain aspects of fractions that will be familiar to Year 5 students but may still carry misconceptions. This worksheet focuses on showing these misconceptions to children to allow them to discuss them openly. While the worksheet covers some familiar aspects (adding and subtracting fractions, ordering fractions) a new element of different denominators has been introduced.

Download Year 5 fractions worked examples

## Year 5 Maths Worksheets on decimals and percentages: Code Crackers

A worksheet of problems covering percentages and numbers up to two decimal places, with the answers coming together to form the punchline to the joke given at the start – great for retrieval practice!

Download the free Year 5: Decimals and Percentages Worksheets

## Year 5 Maths Worksheets on decimals and percentages: Independent Recap

While decimals were introduced in Year 4, percentages are new for Year 5. These simple to follow worksheets introduce what percentages are before moving on to writing percentages as fractions and decimals.

Download Year 5 decimals and percentages worksheets: Independent Recap

## Year 5 Maths Worksheets on decimals and percentages: All kinds of word problems

This workbook has a range of activities to do with decimals and percentages including converting between the two and finding percentages of amounts.

Download Year 5 Worksheets on decimals and percentages: All kinds of word problems

## Year 5 Maths Worksheets on decimals and percentages: Let’s practise using the bar model

It is often important for children to understand when they will use the maths topics they are learning. This worksheet brings percentages and decimals into a real world context (shopping, for example) to help children to understand why, for example, knowing how to find a percentage of an amount is useful.

Download Year 5 decimals and percentages worksheets: Let’s practise using the bar model

## Year 5 Maths Worksheets on decimals and percentages: Worked Examples

This worksheet covers what percentage is, converting between decimals, percentages and fractions as well as understanding the value of decimals. There are a range of common errors that are made within this unit that have been addressed to encourage children to fully understand the topic.

Download Year 5 decimals and percentages worksheets: Worked Examples

## Year 5 Maths Worksheets for statistics: Code Crackers

In Year 5 statistics, the focus is on line graphs and more complex tables. This worksheet encourages children to read and interpret line graphs and tables in order to answer retrieval, comparison and sum calculations with the ultimate reward of finding the answer to a Halloween themed joke.

Download Year 5 Statistics Worksheets: Code Crackers

## Year 5 Maths Worksheets for statistics: Worked Examples

Although children will be familiar with line graphs and tables, they are still likely to make errors, especially when reading line graphs with more than one set of data. This worksheet addresses these common errors while allowing the children to ‘be the teacher’.

Download Year 5 Statistics Worksheets: Worked Examples

## Year 5 Maths Worksheets for converting units: Worked Examples

In previous years, children will have looked at converting units (for example centimetres to metres), however in Year 5, this is a unit of its own. This worked examples worksheet on converting units covers converting between metric units of measures, metric and imperial units of measures, converting between units of time and reading a timetable.

Download Year 5 Measurement Worksheets: Worked Examples

## Year 5 Maths Worksheets for converting units: Code Crackers

There are a lot of facts to remember when learning about converting units. This fun worksheet recaps the key facts of converting between metric units of measure (including converting between units of time).

Download Year 5 Measurement Worksheets: Code Crackers

## Year 5 Maths Worksheets for converting units: Independent Recap

These easy to follow independent recap worksheets cover a range of converting units content to help secure children’s understanding of the topic. The worksheets include converting between units of metric measures, converting between metric and imperial units, converting between units of time and reading timetables.

Download Year 5 Measurement Worksheets: Independent Recap

## Year 5 Maths Test: All topics

As a child gets closer to Year 6 and the Key Stage 2 SATs, it’s important they get used to the timings and styles of questions they might face. Our Year 5 maths tests includes two assessments – one arithmetic paper and one reasoning paper – with SATS style questions created by our curriculum experts, answers and a mark scheme with detailed explanations of how to solve each question.

Both papers should take about one hour to complete, and cover every part of the curriculum, from place value to geometry and 3d shapes. This makes them useful for checking children’s overall understanding of the maths they’ve learned in Year 5, as well as providing them with exam practice.

Download free Year 5 Maths Test

## Year 5 Maths Test: Times Tables

While Year 5 children are past the newly introduced multiplication tables check, knowing your times tables is a key part of many other maths topics they will learn. So it’s always worth keeping up with practice, and these quick worksheets help a child see exactly which ones they know by heart, and which they struggle with.

Download the free Year 3 Times Tables Tests

## Also in this series…

- Year 2 Maths Curriculum Toolkit for 6 & 7 Year Olds
- Year 2 Maths Worksheets
- Year 3 Maths Curriculum Toolkit for 7 & 8 Year Olds
- Year 3 Maths Worksheets
- Year 4 Maths Curriculum Toolkit for 8 & 9 Year Olds
- Year 4 Maths Worksheets
- Year 6 Maths Curriculum Toolkit for 10 & 11 Year Olds
- Year 6 Maths Worksheets

Do you have students who need extra support in maths? Every week Third Space Learning’s maths specialist tutors support thousands of students across hundreds of schools with weekly online 1-to-1 lessons and maths interventions designed to address learning gaps and boost progress. Since 2013 we’ve helped over 150,000 primary and secondary students become more confident, able mathematicians. Learn more or request a personalised quote for your school to speak to us about your school’s needs and how we can help.

Primary school tuition targeted to the needs of each child and closely following the National Curriculum.

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## Fraction Worksheets

Conversion :: Addition :: Subtraction :: Multiplication :: Division

## Conversions

Fractions - addition, fractions - subtraction, fractions - multiplication, fractions - division.

## Fractions Worksheets

Welcome to the fractions worksheets page at Math-Drills.com where the cup is half full! This is one of our more popular pages most likely because learning fractions is incredibly important in a person's life and it is a math topic that many approach with trepidation due to its bad rap over the years. Fractions really aren't that difficult to master especially with the support of our wide selection of worksheets.

This page includes Fractions worksheets for understanding fractions including modeling, comparing, ordering, simplifying and converting fractions and operations with fractions. We start you off with the obvious: modeling fractions. It is a great idea if students can actually understand what a fraction is, so please do spend some time with the modeling aspect. Relating modeling to real life helps a great deal too as it is much easier to relate to half a cookie than to half a square. Ask most students what you get if you add half a cookie and another half a cookie, and they'll probably let you know that it makes one delicious snack.

The other fractions worksheets on this page are devoted to helping students understand the concept of fractions. From comparing and ordering to simplifying and converting... by the time students master the material on this page, operations of fractions will be a walk in the park.

## Most Popular Fractions Worksheets this Week

## Fraction Circles

Fraction circle manipulatives are mainly used for comparing fractions, but they can be used for a variety of other purposes such as representing and identifying fractions, adding and subtracting fractions, and as probability spinners. There are a variety of options depending on your purpose. Fraction circles come in small and large versions, labeled and unlabeled versions and in three different color schemes: black and white, color, and light gray. The color scheme matches the fraction strips and use colors that are meant to show good contrast among themselves. Do note that there is a significant prevalence of color-blindness in the population, so don't rely on all students being able to differentiate the colors.

Suggested activity for comparing fractions: Photocopy the black and white version onto an overhead projection slide and another copy onto a piece of paper. Alternatively, you can use two pieces of paper and hold them up to the light for this activity. Use a pencil to represent the first fraction on the paper copy. Use a non-permanent overhead pen to represent the second fraction. Lay the slide over the paper and compare the two circles. You should easily be able to tell which is greater or lesser or if the two fractions are equal. Re-use both sheets by erasing the pencil and washing off the marker.

Adding fractions with fraction circles will involve two copies on paper. Cut out the fraction circles and segments of one copy and leave the other copy intact. To add 1/3 + 1/2, for example, place a 1/3 segment and a 1/2 segment into a circle and hold it over various fractions on the intact copy to see what 1/2 + 1/3 is equivalent to. 5/6 or 10/12 should work.

- Small Fraction Circles Small Fraction Circles in Black and White with Labels Small Fraction Circles in Color with Labels Small Fraction Circles in Light Gray with Labels Small Fraction Circles in Black and White Unlabeled Small Fraction Circles in Color Unlabeled Small Fraction Circles in Light Gray Unlabeled
- Large Fraction Circles Large Fraction Circles in Black and White with Labels Large Fraction Circles in Color with Labels Large Fraction Circles in Light Gray with Labels Large Fraction Circles in Black and White Unlabeled Large Fraction Circles in Color Unlabeled Large Fraction Circles in Light Gray Unlabeled

## Fraction Strips

Fractions strips are often used for comparing fractions. Students are able to see quite easily the relationships and equivalence between fractions with different denominators. It can be quite useful for students to have two copies: one copy cut into strips and the other copy kept intact. They can then use the cut-out strips on the intact page to individually compare fractions. For example, they can use the halves strip to see what other fractions are equivalent to one-half. This can also be accomplished with a straight edge such as a ruler without cutting out any strips. Pairs or groups of strips can also be compared side-by-side if they are cut out. Addition and subtraction (etc.) are also possibilities; for example, adding a one-quarter and one-third can be accomplished by shifting the thirds strip so that it starts at the end of one-quarter then finding a strip that matches the end of the one-third mark (7/12 should do it).

Teachers might consider copying the fraction strips onto overhead projection acetates for whole class or group activities. Acetate versions are also useful as a hands-on manipulative for students in conjunction with an uncut page.

The "Smart" Fraction Strips include strips in a more useful order, eliminate the 7ths and 11ths strips as they don't have any equivalents and include 15ths and 16ths. The colors are consistent with the classic versions, so the two sets can be combined.

- Classic Fraction Strips with Labels Classic Fraction Strips in Black and White With Labels Classic Fraction Strips in Color With Labels Classic Fraction Strips in Gray With Labels
- Unlabeled Classic Fraction Strips Classic Fraction Strips in Black and White Unlabeled Classic Fraction Strips in Color Unlabeled Classic Fraction Strips in Gray Unlabeled
- Smart Fraction Strips with Labels Smart Fraction Strips in Black and White With Labels Smart Fraction Strips in Color With Labels Smart Fraction Strips in Gray With Labels

## Modeling fractions

Fractions can represent parts of a group or parts of a whole. In these worksheets, fractions are modeled as parts of a group. Besides using the worksheets in this section, you can also try some more interesting ways of modeling fractions. Healthy snacks can make great models for fractions. Can you cut a cucumber into thirds? A tomato into quarters? Can you make two-thirds of the grapes red and one-third green?

- Modeling Fractions with Groups of Shapes Coloring Groups of Shapes to Represent Fractions Identifying Fractions from Colored Groups of Shapes (Only Simplified Fractions up to Eighths) Identifying Fractions from Colored Groups of Shapes (Halves Only) Identifying Fractions from Colored Groups of Shapes (Halves and Thirds) Identifying Fractions from Colored Groups of Shapes (Halves, Thirds and Fourths) Identifying Fractions from Colored Groups of Shapes (Up to Fifths) Identifying Fractions from Colored Groups of Shapes (Up to Sixths) Identifying Fractions from Colored Groups of Shapes (Up to Eighths) Identifying Fractions from Colored Groups of Shapes (OLD Version; Print Too Light)
- Modeling Fractions with Rectangles Modeling Halves Modeling Thirds Modeling Halves and Thirds Modeling Fourths (Color Version) Modeling Fourths (Grey Version) Coloring Fourths Models Modeling Fifths Coloring Fifths Models Modeling Sixths Coloring Sixths Models
- Modeling Fractions with Circles Modeling Halves, Thirds and Fourths Coloring Halves, Thirds and Fourths Modeling Halves, Thirds, Fourths, and Fifths Coloring Halves, Thirds, Fourths, and Fifths Modeling Halves to Sixths Coloring Halves to Sixths Modeling Halves to Eighths Coloring Halves to Eighths Modeling Halves to Twelfths Coloring Halves to Twelfths

## Ratio and Proportion Worksheets

The equivalent fractions models worksheets include only the "baking fractions" in the A versions. To see more difficult and varied fractions, please choose the B to J versions after loading the A version. More picture ratios can be found on holiday and seasonal pages. Try searching for picture ratios to find more.

- Picture Ratios Autumn Trees Part-to-Part Picture Ratios ( Grouped ) Autumn Trees Part-to-Part and Part-to-Whole Picture Ratios ( Grouped )
- Equivalent Fractions Equivalent Fractions With Blanks ( Multiply Right ) ✎ Equivalent Fractions With Blanks ( Divide Left ) ✎ Equivalent Fractions With Blanks ( Multiply Right or Divide Left ) ✎ Equivalent Fractions With Blanks ( Divide Right ) ✎ Equivalent Fractions With Blanks ( Multiply Left ) ✎ Equivalent Fractions With Blanks ( Multiply Left or Divide Right ) ✎ Equivalent Fractions With Blanks ( Multiply or Divide Right ) ✎ Equivalent Fractions With Blanks ( Multiply or Divide Left ) ✎ Equivalent Fractions With Blanks ( Multiply or Divide in Either Direction ) ✎ Are These Fractions Equivalent? (Multiplier 2 to 5) Are These Fractions Equivalent? (Multiplier 5 to 15) Equivalent Fractions Models Equivalent Fractions Models with the Simplified Fraction First Equivalent Fractions Models with the Simplified Fraction Second
- Equivalent Ratios Equivalent Ratios with Blanks Only on Right Equivalent Ratios with Blanks Anywhere Equivalent Ratios with x 's

## Comparing and Ordering Fractions

Comparing fractions involves deciding which of two fractions is greater in value or if the two fractions are equal in value. There are generally four methods that can be used for comparing fractions. First is to use common denominators . If both fractions have the same denominator, comparing the fractions simply involves comparing the numerators. Equivalent fractions can be used to convert one or both fractions, so they have common denominators. A second method is to convert both fractions to a decimal and compare the decimal numbers. Visualization is the third method. Using something like fraction strips , two fractions can be compared with a visual tool. The fourth method is to use a cross-multiplication strategy where the numerator of the first fraction is multiplied by the denominator of the second fraction; then the numerator of the second fraction is multiplied by the denominator of the first fraction. The resulting products can be compared to decide which fraction is greater (or if they are equal).

- Comparing Proper Fractions Comparing Proper Fractions to Sixths ✎ Comparing Proper Fractions to Ninths (No Sevenths) ✎ Comparing Proper Fractions to Ninths ✎ Comparing Proper Fractions to Twelfths (No Sevenths; No Elevenths) ✎ Comparing Proper Fractions to Twelfths ✎

The worksheets in this section also include improper fractions. This might make the task of comparing even easier for some questions that involve both a proper and an improper fraction. If students recognize one fraction is greater than one and the other fraction is less than one, the greater fraction will be obvious.

- Comparing Proper and Improper Fractions Comparing Proper and Improper Fractions to Sixths ✎ Comparing Proper and Improper Fractions to Ninths (No Sevenths) ✎ Comparing Proper and Improper Fractions to Ninths ✎ Comparing Proper and Improper Fractions to Twelfths (No Sevenths; No Elevenths) ✎ Comparing Proper and Improper Fractions to Twelfths ✎ Comparing Improper Fractions to Sixths ✎ Comparing Improper Fractions to Ninths (No Sevenths) ✎ Comparing Improper Fractions to Ninths ✎ Comparing Improper Fractions to Twelfths (No Sevenths; No Elevenths) ✎ Comparing Improper Fractions to Twelfths ✎

This section additionally includes mixed fractions. When comparing mixed and improper fractions, it is useful to convert one of the fractions to the other's form either in writing or mentally. Converting to a mixed fraction is probably the better route since the first step is to compare the whole number portions, and if one is greater than the other, the proper fraction portion can be ignored. If the whole number portions are equal, the proper fractions must be compared to see which number is greater.

- Comparing Proper, Improper and Mixed Fractions Comparing Proper, Improper and Mixed Fractions to Sixths ✎ Comparing Proper, Improper and Mixed Fractions to Ninths (No Sevenths) ✎ Comparing Proper, Improper and Mixed Fractions to Ninths ✎ Comparing Proper, Improper and Mixed Fractions to Twelfths (No Sevenths; No Elevenths) ✎ Comparing Proper, Improper and Mixed Fractions to Twelfths ✎
- Comparing Improper and Mixed Fractions Comparing Improper and Mixed Fractions to Sixths ✎ Comparing Improper and Mixed Fractions to Ninths (No Sevenths) ✎ Comparing Improper and Mixed Fractions to Ninths ✎ Comparing Improper and Mixed Fractions to Twelfths (No Sevenths; No Elevenths) ✎ Comparing Improper and Mixed Fractions to Twelfths ✎
- Comparing Mixed Fractions Comparing Mixed Fractions to Sixths ✎ Comparing Mixed Fractions to Ninths (No Sevenths) ✎ Comparing Mixed Fractions to Ninths ✎ Comparing Mixed Fractions to Twelfths (No Sevenths; No Elevenths) ✎ Comparing Mixed Fractions to Twelfths ✎

Many of the same strategies that work for comparing fractions also work for ordering fractions. Using manipulatives such as fraction strips, using number lines, or finding decimal equivalents will all have your student(s) putting fractions in the correct order in no time. We've probably said this before, but make sure that you emphasize that when comparing or ordering fractions, students understand that the whole needs to be the same. Comparing half the population of Canada with a third of the population of the United States won't cut it. Try using some visuals to reinforce this important concept. Even though we've included number lines below, feel free to use your own strategies.

- Ordering Fractions with Easy Denominators on a Number Line Ordering Fractions with Easy Denominators to 10 on a Number Line Ordering Fractions with Easy Denominators to 24 on a Number Line Ordering Fractions with Easy Denominators to 60 on a Number Line Ordering Fractions with Easy Denominators to 100 on a Number Line
- Ordering Fractions with Easy Denominators on a Number Line (Including Negative Fractions) Ordering Fractions with Easy Denominators to 10 + Negatives on a Number Line Ordering Fractions with Easy Denominators to 24 + Negatives on a Number Line Ordering Fractions with Easy Denominators to 60 + Negatives on a Number Line Ordering Fractions with Easy Denominators to 100 + Negatives on a Number Line
- Ordering Fractions with All Denominators on a Number Line Ordering Fractions with All Denominators to 10 on a Number Line Ordering Fractions with All Denominators to 24 on a Number Line Ordering Fractions with All Denominators to 60 on a Number Line Ordering Fractions with All Denominators to 100 on a Number Line
- Ordering Fractions with All Denominators on a Number Line (Including Negative Fractions) Ordering Fractions with All Denominators to 10 + Negatives on a Number Line Ordering Fractions with All Denominators to 24 + Negatives on a Number Line Ordering Fractions with All Denominators to 60 + Negatives on a Number Line Ordering Fractions with All Denominators to 100 + Negatives on a Number Line

The ordering fractions worksheets in this section do not include a number line, to allow for students to use various sorting strategies.

- Ordering Positive Fractions Ordering Positive Fractions with Like Denominators Ordering Positive Fractions with Like Numerators Ordering Positive Fractions with Like Numerators or Denominators Ordering Positive Fractions with Proper Fractions Only Ordering Positive Fractions with Improper Fractions Ordering Positive Fractions with Mixed Fractions Ordering Positive Fractions with Improper and Mixed Fractions
- Ordering Positive and Negative Fractions Ordering Positive and Negative Fractions with Like Denominators Ordering Positive and Negative Fractions with Like Numerators Ordering Positive and Negative Fractions with Like Numerators or Denominators Ordering Positive and Negative Fractions with Proper Fractions Only Ordering Positive and Negative Fractions with Improper Fractions Ordering Positive and Negative Fractions with Mixed Fractions Ordering Positive and Negative Fractions with Improper and Mixed Fractions

## Simplifying & Converting Fractions Worksheets

Rounding fractions helps students to understand fractions a little better and can be applied to estimating answers to fractions questions. For example, if one had to estimate 1 4/7 × 6, they could probably say the answer was about 9 since 1 4/7 is about 1 1/2 and 1 1/2 × 6 is 9.

- Rounding Fractions with Helper Lines Rounding Fractions to the Nearest Whole with Helper Lines Rounding Mixed Numbers to the Nearest Whole with Helper Lines Rounding Fractions to the Nearest Half with Helper Lines Rounding Mixed Numbers to the Nearest Half with Helper Lines
- Rounding Fractions Rounding Fractions to the Nearest Whole Rounding Mixed Numbers to the Nearest Whole Rounding Fractions to the Nearest Half Rounding Mixed Numbers to the Nearest Half

Learning how to simplify fractions makes a student's life much easier later on when learning operations with fractions. It also helps them to learn that different-looking fractions can be equivalent. One way of demonstrating this is to divide out two equivalent fractions. For example 3/2 and 6/4 both result in a quotient of 1.5 when divided. By practicing simplifying fractions, students will hopefully recognize unsimplified fractions when they start adding, subtracting, multiplying and dividing with fractions.

- Simplifying Fractions Simplify Fractions (easier) Simplify Fractions (harder) Simplify Improper Fractions (easier) Simplify Improper Fractions (harder)
- Converting Between Improper and Mixed Fractions Converting Mixed Fractions to Improper Fractions Converting Improper Fractions to Mixed Fractions Converting Between (both ways) Mixed and Improper Fractions
- Converting Between Fractions and Decimals Converting Fractions to Terminating Decimals Converting Fractions to Terminating and Repeating Decimals Converting Terminating Decimals to Fractions Converting Terminating and Repeating Decimals to Fractions Converting Fractions to Hundredths
- Converting Between Fractions, Decimals, Percents and Ratios with Terminating Decimals Only Converting Fractions to Decimals, Percents and Part-to- Part Ratios ( Terminating Decimals Only) Converting Fractions to Decimals, Percents and Part-to- Whole Ratios ( Terminating Decimals Only) Converting Decimals to Fractions, Percents and Part-to- Part Ratios ( Terminating Decimals Only) Converting Decimals to Fractions, Percents and Part-to- Whole Ratios ( Terminating Decimals Only) Converting Percents to Fractions, Decimals and Part-to- Part Ratios ( Terminating Decimals Only) Converting Percents to Fractions, Decimals and Part-to- Whole Ratios ( Terminating Decimals Only) Converting Part-to-Part Ratios to Fractions, Decimals and Percents ( Terminating Decimals Only) Converting Part-to-Whole Ratios to Fractions, Decimals and Percents ( Terminating Decimals Only) Converting Various Fractions, Decimals, Percents and Part-to- Part Ratios ( Terminating Decimals Only) Converting Various Fractions, Decimals, Percents and Part-to- Whole Ratios ( Terminating Decimals Only)
- Converting Between Fractions, Decimals, Percents and Ratios with Terminating and Repeating Decimals Converting Fractions to Decimals, Percents and Part-to- Part Ratios Converting Fractions to Decimals, Percents and Part-to- Whole Ratios Converting Decimals to Fractions, Percents and Part-to- Part Ratios Converting Decimals to Fractions, Percents and Part-to- Whole Ratios Converting Percents to Fractions, Decimals and Part-to- Part Ratios Converting Percents to Fractions, Decimals and Part-to- Whole Ratios Converting Part-to-Part Ratios to Fractions, Decimals and Percents Converting Part-to-Whole Ratios to Fractions, Decimals and Percents Converting Various Fractions, Decimals, Percents and Part-to- Part Ratios Converting Various Fractions, Decimals, Percents and Part-to- Whole Ratios Converting Various Fractions, Decimals, Percents and Part-to- Part Ratios with 7ths and 11ths Converting Various Fractions, Decimals, Percents and Part-to- Whole Ratios with 7ths and 11ths

## Multiplying Fractions

Multiplying fractions is usually less confusing operationally than any other operation and can be less confusing conceptually if approached in the right way. The algorithm for multiplying is simply multiply the numerators then multiply the denominators. The magic word in understanding the multiplication of fractions is, "of." For example what is two-thirds OF six? What is a third OF a half? When you use the word, "of," it gets much easier to visualize fractions multiplication. Example: cut a loaf of bread in half, then cut the half into thirds. One third OF a half loaf of bread is the same as 1/3 x 1/2 and tastes delicious with butter.

- Multiplying Two Proper Fraction Multiplying Two Proper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying Two Proper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ ✎ Multiplying Two Proper Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying Two Proper Fractions with No Simplifying (Printable Only) Multiplying Two Proper Fractions with All Simplifying (Printable Only) Multiplying Two Proper Fractions with Some Simplifying (Printable Only)
- Multiplying Proper and Improper Fractions Multiplying Proper and Improper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying Proper and Improper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying Proper and Improper Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying Proper and Improper Fractions with No Simplifying (Printable Only) Multiplying Proper and Improper Fractions with All Simplifying (Printable Only) Multiplying Proper and Improper Fractions with Some Simplifying (Printable Only)
- Multiplying Two Improper Fractions Multiplying Two Improper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying Two Improper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying Two Improper Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying Two Improper Fractions with No Simplifying (Printable Only) Multiplying Two Improper Fractions with All Simplifying (Printable Only) Multiplying Two Improper Fractions with Some Simplifying (Printable Only)
- Multiplying Proper and Mixed Fractions Multiplying Proper and Mixed Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying Proper and Mixed Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying Proper and Mixed Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying Proper and Mixed Fractions with No Simplifying (Printable Only) Multiplying Proper and Mixed Fractions with All Simplifying (Printable Only) Multiplying Proper and Mixed Fractions with Some Simplifying (Printable Only)
- Multiplying Two Mixed Fractions Multiplying Two Mixed Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying Two Mixed Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying Two Mixed Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying Two Mixed Fractions with No Simplifying (Printable Only) Multiplying Two Mixed Fractions with All Simplifying (Printable Only) Multiplying Two Mixed Fractions with Some Simplifying (Printable Only)
- Multiplying Whole Numbers and Proper Fractions Multiplying Whole Numbers and Proper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying Whole Numbers and Proper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying Whole Numbers and Proper Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying Whole Numbers and Proper Fractions with No Simplifying (Printable Only) Multiplying Whole Numbers and Proper Fractions with All Simplifying (Printable Only) Multiplying Whole Numbers and Proper Fractions with Some Simplifying (Printable Only)
- Multiplying Whole Numbers and Improper Fractions Multiplying Whole Numbers and Improper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying Whole Numbers and Improper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying Whole Numbers and Improper Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying Whole Numbers and Improper Fractions with No Simplifying (Printable Only) Multiplying Whole Numbers and Improper Fractions with All Simplifying (Printable Only) Multiplying Whole Numbers and Improper Fractions with Some Simplifying (Printable Only)
- Multiplying Whole Numbers and Mixed Fractions Multiplying Whole Numbers and Mixed Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying Whole Numbers and Mixed Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying Whole Numbers and Mixed Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying Whole Numbers and Mixed Fractions with No Simplifying (Printable Only) Multiplying Whole Numbers and Mixed Fractions with All Simplifying (Printable Only) Multiplying Whole Numbers and Mixed Fractions with Some Simplifying (Printable Only)
- Multiplying Proper, Improper and Mixed Fractions Multiplying Proper, Improper and Mixed Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying Proper, Improper and Mixed Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying Proper, Improper and Mixed Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying Proper, Improper and Mixed Fractions with No Simplifying (Printable Only) Multiplying Proper, Improper and Mixed Fractions with All Simplifying (Printable Only) Multiplying Proper, Improper and Mixed Fractions with Some Simplifying (Printable Only)
- Multiplying 3 Fractions Multiplying 3 Proper Fractions (Fillable, Savable, Printable) ✎ Multiplying 3 Proper and Improper Fractions (Fillable, Savable, Printable) ✎ Multiplying Proper and Improper Fractions and Whole Numbers (3 factors) (Fillable, Savable, Printable) ✎ Multiplying Fractions and Mixed Fractions (3 factors) (Fillable, Savable, Printable) ✎ Multiplying 3 Mixed Fractions (Fillable, Savable, Printable) ✎

## Dividing Fractions

Conceptually, dividing fractions is probably the most difficult of all the operations, but we're going to help you out. The algorithm for dividing fractions is just like multiplying fractions, but you find the inverse of the second fraction or you cross-multiply. This gets you the right answer which is extremely important especially if you're building a bridge. We told you how to conceptualize fraction multiplication, but how does it work with division? Easy! You just need to learn the magic phrase: "How many ____'s are there in ______? For example, in the question 6 ÷ 1/2, you would ask, "How many halves are there in 6?" It becomes a little more difficult when both numbers are fractions, but it isn't a giant leap to figure it out. 1/2 ÷ 1/4 is a fairly easy example, especially if you think in terms of U.S. or Canadian coins. How many quarters are there in a half dollar?

- Dividing Two Proper Fractions Dividing Two Proper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Dividing Two Proper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Dividing Two Proper Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Dividing Two Proper Fractions with No Simplifying (Printable Only) Dividing Two Proper Fractions with All Simplifying (Printable Only) Dividing Two Proper Fractions with Some Simplifying (Printable Only)
- Dividing Proper and Improper Fractions Dividing Proper and Improper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Dividing Proper and Improper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Dividing Proper and Improper Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Dividing Proper and Improper Fractions with No Simplifying (Printable Only) Dividing Proper and Improper Fractions with All Simplifying (Printable Only) Dividing Proper and Improper Fractions with Some Simplifying (Printable Only)
- Dividing Two Improper Fractions Dividing Two Improper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Dividing Two Improper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Dividing Two Improper Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Dividing Two Improper Fractions with No Simplifying (Printable Only) Dividing Two Improper Fractions with All Simplifying (Printable Only) Dividing Two Improper Fractions with Some Simplifying (Printable Only)
- Dividing Proper and Mixed Fractions Dividing Proper and Mixed Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Dividing Proper and Mixed Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Dividing Proper and Mixed Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Dividing Proper and Mixed Fractions with No Simplifying (Printable Only) Dividing Proper and Mixed Fractions with All Simplifying (Printable Only) Dividing Proper and Mixed Fractions with Some Simplifying (Printable Only)
- Dividing Two Mixed Fractions Dividing Two Mixed Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Dividing Two Mixed Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Dividing Two Mixed Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Dividing Two Mixed Fractions with No Simplifying (Printable Only) Dividing Two Mixed Fractions with All Simplifying (Printable Only) Dividing Two Mixed Fractions with Some Simplifying (Printable Only)
- Dividing Whole Numbers and Proper Fractions Dividing Whole Numbers and Proper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Dividing Whole Numbers and Proper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Dividing Whole Numbers and Proper Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Dividing Whole Numbers and Proper Fractions with No Simplifying (Printable Only) Dividing Whole Numbers and Proper Fractions with All Simplifying (Printable Only) Dividing Whole Numbers and Proper Fractions with Some Simplifying (Printable Only)
- Dividing Whole Numbers and Improper Fractions Dividing Whole Numbers and Improper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Dividing Whole Numbers and Improper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Dividing Whole Numbers and Improper Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Dividing Whole Numbers and Improper Fractions with No Simplifying (Printable Only) Dividing Whole Numbers and Improper Fractions with All Simplifying (Printable Only) Dividing Whole Numbers and Improper Fractions with Some Simplifying (Printable Only)
- Dividing Whole Numbers and Mixed Fractions Dividing Whole Numbers and Mixed Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Dividing Whole Numbers and Mixed Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Dividing Whole Numbers and Mixed Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Dividing Whole Numbers and Mixed Fractions with No Simplifying (Printable Only) Dividing Whole Numbers and Mixed Fractions with All Simplifying (Printable Only) Dividing Whole Numbers and Mixed Fractions with Some Simplifying (Printable Only)
- Dividing Proper, Improper and Mixed Fractions Dividing Proper, Improper and Mixed Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Dividing Proper, Improper and Mixed Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Dividing Proper, Improper and Mixed Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Dividing Proper, Improper and Mixed Fractions with No Simplifying (Printable Only) Dividing Proper, Improper and Mixed Fractions with All Simplifying (Printable Only) Dividing Proper, Improper and Mixed Fractions with Some Simplifying (Printable Only)
- Dividing 3 Fractions Dividing 3 Fractions Dividing 3 Fractions (Some Whole Numbers) Dividing 3 Fractions (Some Mixed) Dividing 3 Mixed Fractions

## Multiplying and Dividing Fractions

This section includes worksheets with both multiplication and division mixed on each worksheet. Students will have to pay attention to the signs.

- Multiplying and Dividing Two Proper Fractions Multiplying and Dividing Two Proper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Two Proper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Two Proper Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Two Proper Fractions with No Simplifying (Printable Only) Multiplying and Dividing Two Proper Fractions with All Simplifying (Printable Only) Multiplying and Dividing Two Proper Fractions with Some Simplifying (Printable Only)
- Multiplying and Dividing Proper and Improper Fractions Multiplying and Dividing Proper and Improper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Proper and Improper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Proper and Improper Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Proper and Improper Fractions with No Simplifying (Printable Only) Multiplying and Dividing Proper and Improper Fractions with All Simplifying (Printable Only) Multiplying and Dividing Proper and Improper Fractions with Some Simplifying (Printable Only)
- Multiplying and Dividing Two Improper Fractions Multiplying and Dividing Two Improper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Two Improper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Two Improper Fractions (Fillable, Savable, Printable) ✎ Multiplying and Dividing Two Improper Fractions with No Simplifying (Printable Only) Multiplying and Dividing Two Improper Fractions with All Simplifying (Printable Only) Multiplying and Dividing Two Improper Fractions (Printable Only)
- Multiplying and Dividing Proper and Mixed Fractions Multiplying and Dividing Proper and Mixed Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Proper and Mixed Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Proper and Mixed Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Proper and Mixed Fractions with No Simplifying (Printable Only) Multiplying and Dividing Proper and Mixed Fractions with All Simplifying (Printable Only) Multiplying and Dividing Proper and Mixed Fractions with Some Simplifying (Printable Only)
- Multiplying and Dividing Two Mixed Fractions Multiplying and Dividing Two Mixed Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Two Mixed Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Two Mixed Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Two Mixed Fractions with No Simplifying (Printable Only) Multiplying and Dividing Two Mixed Fractions with All Simplifying (Printable Only) Multiplying and Dividing Two Mixed Fractions with Some Simplifying (Printable Only)
- Multiplying and Dividing Whole Numbers and Proper Fractions Fractions Multiplying and Dividing Whole Numbers and Proper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Whole Numbers and Proper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Whole Numbers and Proper Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Whole Numbers and Proper Fractions with No Simplifying (Printable Only) Multiplying and Dividing Whole Numbers and Proper Fractions with All Simplifying (Printable Only) Multiplying and Dividing Whole Numbers and Proper Fractions with Some Simplifying (Printable Only)
- Multiplying and Dividing Whole Numbers and Improper Fractions Multiplying and Dividing Whole Numbers and Improper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Whole Numbers and Improper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Whole Numbers and Improper Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Whole Numbers and Improper Fractions with No Simplifying (Printable Only) Multiplying and Dividing Whole Numbers and Improper Fractions with All Simplifying (Printable Only) Multiplying and Dividing Whole Numbers and Improper Fractions with Some Simplifying (Printable Only)
- Multiplying and Dividing Whole Numbers and Mixed Fractions Multiplying and Dividing Whole Numbers and Mixed Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Whole Numbers and Mixed Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Whole Numbers and Mixed Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Whole Numbers and Mixed Fractions with No Simplifying (Printable Only) Multiplying and Dividing Whole Numbers and Mixed Fractions with All Simplifying (Printable Only) Multiplying and Dividing Whole Numbers and Mixed Fractions with Some Simplifying (Printable Only)
- Multiplying and Dividing Proper, Improper and Mixed Fractions Multiplying and Dividing Proper, Improper and Mixed Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Proper, Improper and Mixed Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Proper, Improper and Mixed Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Proper, Improper and Mixed Fractions with No Simplifying (Printable Only) Multiplying and Dividing Proper, Improper and Mixed Fractions with All Simplifying (Printable Only) Multiplying and Dividing Proper, Improper and Mixed Fractions with Some Simplifying (Printable Only)
- Multiplying and Dividing 3 Fractions Multiplying/Dividing Fractions (three factors) Multiplying/Dividing Mixed Fractions (3 factors)

## Adding Fractions

Adding fractions requires the annoying common denominator. Make it easy on your students by first teaching the concepts of equivalent fractions and least common multiples. Once students are familiar with those two concepts, the idea of finding fractions with common denominators for adding becomes that much easier. Spending time on modeling fractions will also help students to understand fractions addition. Relating fractions to familiar examples will certainly help. For example, if you add a 1/2 banana and a 1/2 banana, you get a whole banana. What happens if you add a 1/2 banana and 3/4 of another banana?

- Adding Two Proper Fractions with Equal Denominators and Proper Fraction Results Adding Two Proper Fractions with Equal Denominators, Proper Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Equal Denominators, Proper Fractions Results, and All Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Equal Denominators, Proper Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Equal Denominators, Proper Fractions Result, and No Simplifying (Printable Only) Adding Two Proper Fractions with Equal Denominators, Proper Fractions Result, and All Simplifying (Printable Only) Adding Two Proper Fractions with Equal Denominators, Proper Fractions Result, and Some Simplifying (Printable Only)
- Adding Two Proper Fractions with Equal Denominators and Mixed Fraction Results Adding Two Proper Fractions with Equal Denominators, Mixed Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Equal Denominators, Mixed Fractions Results, and All Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Equal Denominators, Mixed Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Equal Denominators, Mixed Fractions Result, and No Simplifying (Printable Only) Adding Two Proper Fractions with Equal Denominators, Mixed Fractions Result, and All Simplifying (Printable Only) Adding Two Proper Fractions with Equal Denominators, Mixed Fractions Result, and Some Simplifying (Printable Only)
- Adding Two Proper Fractions with Similar Denominators and Proper Fraction Results Adding Two Proper Fractions with Similar Denominators, Proper Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Similar Denominators, Proper Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Similar Denominators, Proper Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Similar Denominators, Proper Fractions Result, and No Simplifying (Printable Only) Adding Two Proper Fractions with Similar Denominators, Proper Fractions Result, and All Simplifying (Printable Only) Adding Two Proper Fractions with Similar Denominators, Proper Fractions Result, and Some Simplifying (Printable Only)
- Adding Two Proper Fractions with Similar Denominators and Mixed Fraction Results Adding Two Proper Fractions with Similar Denominators, Mixed Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Similar Denominators, Mixed Fractions Results, and All Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Similar Denominators, Mixed Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Similar Denominators, Mixed Fractions Result, and No Simplifying (Printable Only) Adding Two Proper Fractions with Similar Denominators, Mixed Fractions Result, and All Simplifying (Printable Only) Adding Two Proper Fractions with Similar Denominators, Mixed Fractions Result, and Some Simplifying (Printable Only)
- Adding Two Proper Fractions with Unlike Denominators and Proper Fraction Results Adding Two Proper Fractions with Unlike Denominators, Proper Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Unlike Denominators, Proper Fractions Results, and All Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Unlike Denominators, Proper Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Unlike Denominators, Proper Fractions Result, and No Simplifying (Printable Only) Adding Two Proper Fractions with Unlike Denominators, Proper Fractions Result, and All Simplifying (Printable Only) Adding Two Proper Fractions with Unlike Denominators, Proper Fractions Result, and Some Simplifying (Printable Only)
- Adding Two Proper Fractions with Unlike Denominators and Mixed Fraction Results Adding Two Proper Fractions with Unlike Denominators, Mixed Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Unlike Denominators, Mixed Fractions Results, and All Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Unlike Denominators, Mixed Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Unlike Denominators, Mixed Fractions Result, and No Simplifying (Printable Only) Adding Two Proper Fractions with Unlike Denominators, Mixed Fractions Result, and All Simplifying (Printable Only) Adding Two Proper Fractions with Unlike Denominators, Mixed Fractions Result, and Some Simplifying (Printable Only)
- Adding Proper and Improper Fractions with Equal Denominators Adding Proper and Improper Fractions with Equal Denominators and No Simplifying (Fillable, Savable, Printable) ✎ Adding Proper and Improper Fractions with Equal Denominators and All Simplifying (Fillable, Savable, Printable) ✎ Adding Proper and Improper Fractions with Equal Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ Adding Proper and Improper Fractions with Equal Denominators and No Simplifying (Printable Only) Adding Proper and Improper Fractions with Equal Denominators and All Simplifying (Printable Only) Adding Proper and Improper Fractions with Equal Denominators and Some Simplifying (Printable Only)
- Adding Proper and Improper Fractions with Similar Denominators Adding Proper and Improper Fractions with Similar Denominators and No Simplifying (Fillable, Savable, Printable) ✎ Adding Proper and Improper Fractions with Similar Denominators and All Simplifying (Fillable, Savable, Printable) ✎ Adding Proper and Improper Fractions with Similar Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ Adding Proper and Improper Fractions with Similar Denominators and No Simplifying (Printable Only) Adding Proper and Improper Fractions with Similar Denominators and All Simplifying (Printable Only) Adding Proper and Improper Fractions with Similar Denominators and Some Simplifying (Printable Only)
- Adding Proper and Improper Fractions with Unlike Denominators Adding Proper and Improper Fractions with Unlike Denominators and No Simplifying (Fillable, Savable, Printable) ✎ Adding Proper and Improper Fractions with Unlike Denominators and All Simplifying (Fillable, Savable, Printable) ✎ Adding Proper and Improper Fractions with Unlike Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ Adding Proper and Improper Fractions with Unlike Denominators and No Simplifying (Printable Only) Adding Proper and Improper Fractions with Unlike Denominators and All Simplifying (Printable Only) Adding Proper and Improper Fractions with Unlike Denominators and Some Simplifying (Printable Only)

A common strategy to use when adding mixed fractions is to convert the mixed fractions to improper fractions, complete the addition, then switch back. Another strategy which requires a little less brainpower is to look at the whole numbers and fractions separately. Add the whole numbers first. Add the fractions second. If the resulting fraction is improper, then it needs to be converted to a mixed number. The whole number portion can be added to the original whole number portion.

- Adding Two Mixed Fractions with Equal Denominators Adding Two Mixed Fractions with Equal Denominators and No Simplifying (Fillable, Savable, Printable) ✎ Adding Two Mixed Fractions with Equal Denominators and All Simplifying (Fillable, Savable, Printable) ✎ Adding Two Mixed Fractions with Equal Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ Adding Two Mixed Fractions with Equal Denominators and No Simplifying (Printable Only) Adding Two Mixed Fractions with Equal Denominators and All Simplifying (Printable Only) Adding Two Mixed Fractions with Equal Denominators and Some Simplifying (Printable Only)
- Adding Two Mixed Fractions with Similar Denominators Adding Two Mixed Fractions with Similar Denominators and No Simplifying (Fillable, Savable, Printable) ✎ Adding Two Mixed Fractions with Similar Denominators and All Simplifying (Fillable, Savable, Printable) ✎ Adding Two Mixed Fractions with Similar Denominators and Some Simplifying Adding Two Mixed Fractions with Similar Denominators and No Simplifying (Printable Only) Adding Two Mixed Fractions with Similar Denominators and All Simplifying (Printable Only) Adding Two Mixed Fractions with Similar Denominators and Some Simplifying (Printable Only)
- Adding Two Mixed Fractions with Unlike Denominators Adding Two Mixed Fractions with Unlike Denominators and No Simplifying (Fillable, Savable, Printable) ✎ Adding Two Mixed Fractions with Unlike Denominators and All Simplifying (Fillable, Savable, Printable) ✎ Adding Two Mixed Fractions with Unlike Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ Adding Two Mixed Fractions with Unlike Denominators and No Simplifying (Printable Only) Adding Two Mixed Fractions with Unlike Denominators and All Simplifying (Printable Only) Adding Two Mixed Fractions with Unlike Denominators and Some Simplifying (Printable Only)

## Subtracting Fractions

There isn't a lot of difference between adding and subtracting fractions. Both require a common denominator which requires some prerequisite knowledge. The only difference is the second and subsequent numerators are subtracted from the first one. There is a danger that you might end up with a negative number when subtracting fractions, so students might need to learn what it means in that case. When it comes to any concept in fractions, it is always a good idea to relate it to a familiar or easy-to-understand situation. For example, 7/8 - 3/4 = 1/8 could be given meaning in the context of a race. The first runner was 7/8 around the track when the second runner was 3/4 around the track. How far ahead was the first runner? (1/8 of the track).

- Subtracting Two Proper Fractions with Equal Denominators and Proper Fraction Results Subtracting Two Proper Fractions with Equal Denominators, Proper Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Subtracting Two Proper Fractions with Equal Denominators, Proper Fractions Results, and All Simplifying (Fillable, Savable, Printable) ✎ Subtracting Two Proper Fractions with Equal Denominators, Proper Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Subtracting Two Proper Fractions with Equal Denominators, Proper Fractions Results, and No Simplifying (Printable Only) Subtracting Two Proper Fractions with Equal Denominators, Proper Fractions Results, and All Simplifying (Printable Only) Subtracting Two Proper Fractions with Equal Denominators, Proper Fractions Results, and Some Simplifying (Printable Only)
- Subtracting Two Proper Fractions with Similar Denominators and Proper Fraction Results Subtracting Two Proper Fractions with Similar Denominators, Proper Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Subtracting Two Proper Fractions with Similar Denominators, Proper Fractions Results, and All Simplifying (Fillable, Savable, Printable) ✎ Subtracting Two Proper Fractions with Similar Denominators, Proper Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Subtracting Two Proper Fractions with Similar Denominators, Proper Fractions Results, and No Simplifying (Printable Only) Subtracting Two Proper Fractions with Similar Denominators, Proper Fractions Results, and All Simplifying (Printable Only) Subtracting Two Proper Fractions with Similar Denominators, Proper Fractions Results, and Some Simplifying (Printable Only)
- Subtracting Two Proper Fractions with Unlike Denominators and Proper Fraction Results Subtracting Two Proper Fractions with Unlike Denominators, Proper Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Subtracting Two Proper Fractions with Unlike Denominators, Proper Fractions Results, and All Simplifying (Fillable, Savable, Printable) ✎ Subtracting Two Proper Fractions with Unlike Denominators, Proper Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Subtracting Two Proper Fractions with Unlike Denominators, Proper Fractions Results, and No Simplifying (Printable Only) Subtracting Two Proper Fractions with Unlike Denominators, Proper Fractions Results, and All Simplifying (Printable Only) Subtracting Two Proper Fractions with Unlike Denominators, Proper Fractions Results, and Some Simplifying (Printable Only)
- Subtracting Proper and Improper Fractions with Equal Denominators and Proper Fraction Results Subtracting Proper and Improper Fractions with Equal Denominators, Proper Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Equal Denominators, Proper Fractions Results, and All Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Equal Denominators, Proper Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Equal Denominators, Proper Fractions Results, and No Simplifying (Printable Only) Subtracting Proper and Improper Fractions with Equal Denominators, Proper Fractions Results, and All Simplifying (Printable Only) Subtracting Proper and Improper Fractions with Equal Denominators, Proper Fractions Results, and Some Simplifying (Printable Only)
- Subtracting Proper and Improper Fractions with Similar Denominators and Proper Fraction Results Subtracting Proper and Improper Fractions with Similar Denominators, Proper Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Similar Denominators, Proper Fractions Results, and All Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Similar Denominators, Proper Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Similar Denominators, Proper Fractions Results, and No Simplifying (Printable Only) Subtracting Proper and Improper Fractions with Similar Denominators, Proper Fractions Results, and All Simplifying (Printable Only) Subtracting Proper and Improper Fractions with Similar Denominators, Proper Fractions Results, and Some Simplifying (Printable Only)
- Subtracting Proper and Improper Fractions with Unlike Denominators and Proper Fraction Results Subtracting Proper and Improper Fractions with Unlike Denominators, Proper Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Unlike Denominators, Proper Fractions Results, and All Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Unlike Denominators, Proper Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Unlike Denominators, Proper Fractions Results, and No Simplifying (Printable Only) Subtracting Proper and Improper Fractions with Unlike Denominators, Proper Fractions Results, and All Simplifying (Printable Only) Subtracting Proper and Improper Fractions with Unlike Denominators, Proper Fractions Results, and Some Simplifying (Printable Only)
- Subtracting Proper and Improper Fractions with Equal Denominators and Mixed Fraction Results Subtracting Proper and Improper Fractions with Equal Denominators, Mixed Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Equal Denominators, Mixed Fractions Results, and All Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Equal Denominators, Mixed Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Equal Denominators, Mixed Fractions Results, and No Simplifying (Printable Only) Subtracting Proper and Improper Fractions with Equal Denominators, Mixed Fractions Results, and All Simplifying (Printable Only) Subtracting Proper and Improper Fractions with Equal Denominators, Mixed Fractions Results, and Some Simplifying (Printable Only)
- Subtracting Proper and Improper Fractions with Similar Denominators and Mixed Fraction Results Subtracting Proper and Improper Fractions with Similar Denominators, Mixed Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Similar Denominators, Mixed Fractions Results, and All Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Similar Denominators, Mixed Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Similar Denominators, Mixed Fractions Results, and No Simplifying (Printable Only) Subtracting Proper and Improper Fractions with Similar Denominators, Mixed Fractions Results, and All Simplifying (Printable Only) Subtracting Proper and Improper Fractions with Similar Denominators, Mixed Fractions Results, and Some Simplifying (Printable Only)
- Subtracting Proper and Improper Fractions with Unlike Denominators and Mixed Fraction Results Subtracting Proper and Improper Fractions with Unlike Denominators, Mixed Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Unlike Denominators, Mixed Fractions Results, and All Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Unlike Denominators, Mixed Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Unlike Denominators, Mixed Fractions Results, and No Simplifying (Printable Only) Subtracting Proper and Improper Fractions with Unlike Denominators, Mixed Fractions Results, and All Simplifying (Printable Only) Subtracting Proper and Improper Fractions with Unlike Denominators, Mixed Fractions Results, and Some Simplifying (Printable Only)
- Subtracting Mixed Fractions with Equal Denominators Subtracting Mixed Fractions with Equal Denominators, and No Simplifying (Fillable, Savable, Printable) ✎ Subtracting Mixed Fractions with Equal Denominators, and All Simplifying (Fillable, Savable, Printable) ✎ Subtracting Mixed Fractions with Equal Denominators, and Some Simplifying (Fillable, Savable, Printable) ✎ Subtracting Mixed Fractions with Equal Denominators, and No Simplifying (Printable Only) Subtracting Mixed Fractions with Equal Denominators, and All Simplifying (Printable Only) Subtracting Mixed Fractions with Equal Denominators, and Some Simplifying (Printable Only)
- Subtracting Mixed Fractions with Similar Denominators Subtracting Mixed Fractions with Similar Denominators, and No Simplifying (Fillable, Savable, Printable) ✎ Subtracting Mixed Fractions with Similar Denominators, and All Simplifying (Fillable, Savable, Printable) ✎ Subtracting Mixed Fractions with Similar Denominators, and Some Simplifying (Fillable, Savable, Printable) ✎ Subtracting Mixed Fractions with Similar Denominators, and No Simplifying (Printable Only) Subtracting Mixed Fractions with Similar Denominators, and All Simplifying (Printable Only) Subtracting Mixed Fractions with Similar Denominators, and Some Simplifying (Printable Only)
- Subtracting Mixed Fractions with Unlike Denominators Subtracting Mixed Fractions with Unlike Denominators, and No Simplifying (Fillable, Savable, Printable) ✎ Subtracting Mixed Fractions with Unlike Denominators, and All Simplifying (Fillable, Savable, Printable) ✎ Subtracting Mixed Fractions with Unlike Denominators, and Some Simplifying (Fillable, Savable, Printable) ✎ Subtracting Mixed Fractions with Unlike Denominators, and No Simplifying (Printable Only) Subtracting Mixed Fractions with Unlike Denominators, and All Simplifying (Printable Only) Subtracting Mixed Fractions with Unlike Denominators, and Some Simplifying (Printable Only)

## Adding and Subtracting Fractions

Mixing up the signs on operations with fractions worksheets makes students pay more attention to what they are doing and allows for a good test of their skills in more than one operation.

- Adding and Subtracting Proper and Improper Fractions Adding and Subtracting Proper and Improper Fractions with Equal Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ Adding and Subtracting Proper and Improper Fractions with Similar Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ Adding and Subtracting Proper and Improper Fractions with Unlike Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ Adding and Subtracting Proper and Improper Fractions with Equal Denominators and Some Simplifying (Printable Only) Adding and Subtracting Proper and Improper Fractions with Similar Denominators and Some Simplifying (Printable Only) Adding and Subtracting Proper and Improper Fractions with Unlike Denominators and Some Simplifying (Printable Only)
- Adding and Subtracting Mixed Fractions Adding and Subtracting Mixed Fractions with Equal Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ Adding and Subtracting Mixed Fractions with Similar Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ Adding and Subtracting Mixed Fractions with Unlike Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ Adding and Subtracting Mixed Fractions with Equal Denominators and Some Simplifying (Printable Only) Adding and Subtracting Mixed Fractions with Similar Denominators and Some Simplifying (Printable Only) Adding and Subtracting Mixed Fractions with Unlike Denominators and Some Simplifying (Printable Only) Adding/Subtracting Three Fractions/Mixed Fractions

## All Operations Fractions Worksheets

- All Operations with Two Proper Fractions with Equal Denominators and Proper Fraction Results All Operations with Two Proper Fractions with Equal Denominators, Proper Fractions Results and No Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Proper Fractions with Equal Denominators, Proper Fractions Results and All Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Proper Fractions with Equal Denominators, Proper Fractions Results and Some Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Proper Fractions with Equal Denominators, Proper Fractions Results and No Simplifying (Printable Only) All Operations with Two Proper Fractions with Equal Denominators, Proper Fractions Results and All Simplifying (Printable Only) All Operations with Two Proper Fractions with Equal Denominators, Proper Fractions Results and Some Simplifying (Printable Only)
- All Operations with Two Proper Fractions with Similar Denominators and Proper Fraction Results All Operations with Two Proper Fractions with Similar Denominators, Proper Fractions Results and No Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Proper Fractions with Similar Denominators, Proper Fractions Results and All Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Proper Fractions with Similar Denominators, Proper Fractions Results and Some Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Proper Fractions with Similar Denominators, Proper Fractions Results and No Simplifying (Printable Only) All Operations with Two Proper Fractions with Similar Denominators, Proper Fractions Results and All Simplifying (Printable Only) All Operations with Two Proper Fractions with Similar Denominators, Proper Fractions Results and Some Simplifying (Printable Only)
- All Operations with Two Proper Fractions with Unlike Denominators and Proper Fraction Results All Operations with Two Proper Fractions with Unlike Denominators, Proper Fractions Results and No Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Proper Fractions with Unlike Denominators, Proper Fractions Results and All Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Proper Fractions with Unlike Denominators, Proper Fractions Results and Some Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Proper Fractions with Unlike Denominators, Proper Fractions Results and No Simplifying (Printable Only) All Operations with Two Proper Fractions with Unlike Denominators, Proper Fractions Results and All Simplifying (Printable Only) All Operations with Two Proper Fractions with Unlike Denominators, Mixed Fractions Results and Some Simplifying (Printable Only)
- All Operations with Proper and Improper Fractions with Equal Denominators All Operations with Proper and Improper Fractions with Equal Denominators and No Simplifying (Fillable, Savable, Printable) ✎ All Operations with Proper and Improper Fractions with Equal Denominators and All Simplifying (Fillable, Savable, Printable) ✎ All Operations with Proper and Improper Fractions with Equal Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ All Operations with Proper and Improper Fractions with Equal Denominators and No Simplifying (Printable Only) All Operations with Proper and Improper Fractions with Equal Denominators and All Simplifying (Printable Only) All Operations with Proper and Improper Fractions with Equal Denominators and Some Simplifying (Printable Only)
- All Operations with Proper and Improper Fractions with Similar Denominators All Operations with Proper and Improper Fractions with Similar Denominators and No Simplifying (Fillable, Savable, Printable) ✎ All Operations with Proper and Improper Fractions with Similar Denominators and All Simplifying (Fillable, Savable, Printable) ✎ All Operations with Proper and Improper Fractions with Similar Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ All Operations with Proper and Improper Fractions with Similar Denominators and No Simplifying (Printable Only) All Operations with Proper and Improper Fractions with Similar Denominators and All Simplifying (Printable Only) All Operations with Proper and Improper Fractions with Similar Denominators and Some Simplifying (Printable Only)
- All Operations with Proper and Improper Fractions with Unlike Denominators All Operations with Proper and Improper Fractions with Unlike Denominators and No Simplifying (Fillable, Savable, Printable) ✎ All Operations with Proper and Improper Fractions with Unlike Denominators and All Simplifying (Fillable, Savable, Printable) ✎ All Operations with Proper and Improper Fractions with Unlike Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ All Operations with Proper and Improper Fractions with Unlike Denominators and No Simplifying (Printable Only) All Operations with Proper and Improper Fractions with Unlike Denominators and All Simplifying (Printable Only) All Operations with Proper and Improper Fractions with Unlike Denominators and Some Simplifying (Printable Only)
- All Operations with Two Mixed Fractions with Equal Denominators All Operations with Two Mixed Fractions with Equal Denominators and No Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Mixed Fractions with Equal Denominators and All Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Mixed Fractions with Equal Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Mixed Fractions with Equal Denominators and No Simplifying (Printable Only) All Operations with Two Mixed Fractions with Equal Denominators and All Simplifying (Printable Only) All Operations with Two Mixed Fractions with Equal Denominators and Some Simplifying (Printable Only)
- All Operations with Two Mixed Fractions with Similar Denominators All Operations with Two Mixed Fractions with Similar Denominators and No Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Mixed Fractions with Similar Denominators and All Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Mixed Fractions with Similar Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Mixed Fractions with Similar Denominators and No Simplifying (Printable Only) All Operations with Two Mixed Fractions with Similar Denominators and All Simplifying (Printable Only) All Operations with Two Mixed Fractions with Similar Denominators and Some Simplifying (Printable Only)
- All Operations with Two Mixed Fractions with Unlike Denominators All Operations with Two Mixed Fractions with Unlike Denominators and No Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Mixed Fractions with Unlike Denominators and All Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Mixed Fractions with Unlike Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Mixed Fractions with Unlike Denominators and No Simplifying (Printable Only) All Operations with Two Mixed Fractions with Unlike Denominators and All Simplifying (Printable Only) All Operations with Two Mixed Fractions with Unlike Denominators and Some Simplifying (Printable Only)
- All Operations with 3 Fractions All Operations with Three Fractions Including Some Improper Fractions All Operations with Three Fractions Including Some Negative and Some Improper Fractions

## Operations with Negative Fractions Worksheets

Although some of these worksheets are single operations, it should be helpful to have all of these in the same location. There are some special considerations when completing operations with negative fractions. It is usually very helpful to change any mixed numbers to an improper fraction before proceeding. It is important to pay attention to the signs and know the rules for multiplying positives and negatives (++ = +, +- = -, -+ = - and -- = +).

- Adding with Negative Fractions Adding Negative Proper Fractions with Unlike Denominators Up to Sixths, Proper Fractions Results and Some Simplifying (Fillable, Savable, Printable) ✎ Adding Negative Proper Fractions with Unlike Denominators Up to Twelfths, Proper Fractions Results and Some Simplifying (Fillable, Savable, Printable) ✎ Adding Negative Mixed Fractions with Unlike Denominators Up to Sixths, Proper Fractions Results and No Simplifying (Fillable, Savable, Printable) ✎ Adding Negative Mixed Fractions with Unlike Denominators Up to Twelfths, Proper Fractions Results and No Simplifying (Fillable, Savable, Printable) ✎ Adding Negative Proper Fractions with Denominators Up to Sixths, Proper Fraction Results and Some Simplifying (Printable Only) Adding Negative Proper Fractions with Denominators Up to Twelfths, Proper Fraction Results and Some Simplifying (Printable Only) Adding Negative Mixed Fractions with Denominators Up to Sixths and Some Simplifying (Printable Only) Adding Negative Mixed Fractions with Denominators Up to Twelfths and Some Simplifying (Printable Only)
- Subtracting with Negative Fractions Subtracting Negative Proper Fractions with Unlike Denominators Up to Sixths, Proper Fractions Results and Some Simplifying (Fillable, Savable, Printable) ✎ Subtracting Negative Proper Fractions with Unlike Denominators Up to Twelfths, Proper Fractions Results and Some Simplifying (Fillable, Savable, Printable) ✎ Subtracting Negative Mixed Fractions with Unlike Denominators Up to Sixths, Mixed Fractions Results and No Simplifying (Fillable, Savable, Printable) ✎ Subtracting Negative Mixed Fractions with Unlike Denominators Up to Twelfths, Mixed Fractions Results and No Simplifying (Fillable, Savable, Printable) ✎ Subtracting Negative Proper Fractions with Denominators Up to Sixths, Proper Fraction Results and Some Simplifying (Printable Only) Subtracting Negative Proper Fractions with Denominators Up to Twelfths, Proper Fraction Results and Some Simplifying (Printable Only) Subtracting Negative Mixed Fractions with Denominators Up to Sixths and Some Simplifying (Printable Only) Subtracting Negative Mixed Fractions with Denominators Up to Twelfths and Some Simplifying (Printable Only)
- Multiplying with Negative Fractions Multiplying Negative Proper Fractions with Denominators Up to Sixths, Proper Fractions Results and Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying Negative Proper Fractions with Denominators Up to Twelfths, Proper Fractions Results and Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying Negative Mixed Fractions with Denominators Up to Sixths, Proper Fractions Results and Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying Negative Mixed Fractions with Denominators Up to Twelfths, Proper Fractions Results and Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying Negative Proper Fractions with Denominators Up to Sixths, Proper Fraction Results and Some Simplifying (Printable Only) Multiplying Negative Proper Fractions with Denominators Up to Twelfths, Proper Fraction Results and Some Simplifying (Printable Only) Multiplying Negative Mixed Fractions with Denominators Up to Sixths and Some Simplifying (Printable Only) Multiplying Negative Mixed Fractions with Denominators Up to Twelfths and Some Simplifying (Printable Only)
- Dividing with Negative Fractions Dividing Negative Proper Fractions with Denominators Up to Sixths, Mixed Fractions Results and Some Simplifying (Fillable, Savable, Printable) ✎ Dividing Negative Proper Fractions with Denominators Up to Twelfths, Mixed Fractions Results and Some Simplifying (Fillable, Savable, Printable) ✎ Dividing Negative Mixed Fractions with Denominators Up to Twelfths, Mixed Fractions Results and No Simplifying (Fillable, Savable, Printable) ✎ Dividing Negative Mixed Fractions with Denominators Up to Twelfths, Mixed Fractions Results and No Simplifying (Fillable, Savable, Printable) ✎ Dividing Negative Proper Fractions with Denominators Up to Sixths, Proper Fraction Results and Some Simplifying (Printable Only) Dividing Negative Proper Fractions with Denominators Up to Twelfths, Proper Fraction Results and Some Simplifying (Printable Only) Dividing Negative Mixed Fractions with Denominators Up to Sixths and Some Simplifying (Printable Only) Dividing Negative Mixed Fractions with Denominators Up to Twelfths and Some Simplifying (Printable Only)

## Order of Operations with Fractions Worksheets

The order of operations worksheets in this section actually reside on the Order of Operations page, but they are included here for your convenience.

- Order of Operations with Fractions 2-Step Order of Operations with Fractions 3-Step Order of Operations with Fractions 4-Step Order of Operations with Fractions 5-Step Order of Operations with Fractions 6-Step Order of Operations with Fractions
- Order of Operations with Fractions (No Exponents) 2-Step Order of Operations with Fractions (No Exponents) 3-Step Order of Operations with Fractions (No Exponents) 4-Step Order of Operations with Fractions (No Exponents) 5-Step Order of Operations with Fractions (No Exponents) 6-Step Order of Operations with Fractions (No Exponents)
- Order of Operations with Positive and Negative Fractions 2-Step Order of Operations with Positive & Negative Fractions 3-Step Order of Operations with Positive & Negative Fractions 4-Step Order of Operations with Positive & Negative Fractions 5-Step Order of Operations with Positive & Negative Fractions 6-Step Order of Operations with Positive & Negative Fractions

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## Fraction and Decimal Worksheets for Year 5 (age 9-10)

There is certainly a lot of fraction work to cover in Year 5 as the Programme of Study also includes decimals and percentages. Understanding equivalence is still a crucial aspect of this and children will be expected to identify, name and write equivalent fractions of a given fraction (e.g. four sixths is equivalent to two thirds). It is important that children entering Year 5 already have a good understanding of equivalent fractions and some will need to return to earlier work to re-inforce this understanding.

Thousandths will be introduced for the first time, relating them to tenths and hundredths. We have a great selection of pages on thousandths, including writing thousandths as fractions and decimals and putting decimals in order.

A further development in Year 5 is that children will be expected to compare and order fractions whose denominators are all multiples of the same number (e.g. put two thirds, three sixths and five ninths in order by converting all three fractions to ninths).

Mixed numbers and improper fractions are introduced and children will be expected to convert from one form to the other (e.g. writing eight fifths as one whole one and three fifths).

There is much more on adding and subtracting fractions with denominators that are multiples of the same number (e.g. add three fifths and four tenths). Multiplication of proper fractions and mixed numbers by whole numbers is also introduced.

Percentages are covered for the first time; the key to working with percentages is to understand that the word means ‘out of one hundred’ and making the connection between percentages, fractions and decimals (e.g. 50% is fifty hundredths or five tenths and can be written as 0.5).

Certainly a lot to cover, but if children master this they should be able to answer most of the fraction questions that come up in the Year 6 SAT Papers.

## Percentages

An introduction to percentages.

Find the percentages represented on the 100 squares.

Colour the 100 squares to show the correct percentages.

Working with simple percentages and converting fractions to percentages.

More on percentages, decimals and fractions.

More on understanding percentages, fractions and decimals.

Finding percentages of numbers.

Working out prices in a 10% sale and finding change in pounds and pence.

## Decimal fractions

Using decimal fractions including tenths, hundredths and thousandths.

Using place value charts to help understanding decimals up to two decimal places.

Understanding decimals and place value, including the addition of decimals.

It is important to be able to say decimal numbers correctly and recognise the value of digits.

Money is an excellent way to work with decimals. Some tricky calculator problems as well.

Bar models to help understanding when working out decimals that total 1 (to 2 decimal places)

Bar models to help understanding when working out decimals that total 1 (to 3 decimal places)

Putting decimals in order, up to thousandths.

Rounding money to the nearest pound.

Rounding decimals to the nearest whole one.

Rounding decimals to the nearest tenth.

Using place value charts to partition decimal fractions.

A range of activities involving thousandths as decimals and fractions.

More fractions and decimals using thousandths.

## Mental addition and subtraction of decimals

Using mental skills to add and subtract decimals. Also see our Year 5 Addition and Subtraction categories for more.

Addition and subtraction of decimals.

Finding change from £50 or £100.

Adding money and then subtracting the answer from £100.

Word problems involving adding and subtracting money.

Word problems involving subtracting money.

Mental multiplication and division of decimals

Multiplying and dividing decimals by 10 and 100.

## Equivalent fractions

Exploring and understanding equivalent fractions. Order fractions and solve problems.

revise simple equivalent fractions.

Quite a tricky set of questions on equivalent fractions. This is an important concept to understand in order to master fractions.

More equivalent fractions, including fifths, tenths and hundredths.

A quick look at the patterns of equivalent fractions.

Converting fractions to decimals might need the aid of a calculator.

More on equivalent fractions.

A look at some of the patterns arising from converting fractions to decimals.

The easiest way to order fractions is to make sure they all have the same denominator (bottom number).

Knowing multiplication tables really helps with fractions.

Finding fractions of numbers: most of these need to be done in two steps.

Explanations and activities on making fractions by dividing.

Fraction questions in words with full written answers needed.

## Improper fractions and mixed numbers

Understanding improper fractions and mixed numbers and converting from one to another.

A look at proper fractions, mixed numbers and improper fractions.

Convert improper fractions to mixed numbers

A variety of activities on adding and subtracting fractions and equivalent fractions.

Harder improper fractions to mixed numbers.

More work on mixed numbers and sequences.

Convert mixed numbers to improper fractions

More converting mixed numbers to improper fractions

## Adding and subtracting fractions

Adding and subtracting fractions including fractions with different denominators.

Completing fraction sequences by adding on. No need to simplify the fractions.

Completing fraction sequences by counting down.

More adding fractions with the same denominator.

Adding fractions where the denominators are different.

Step by step process for adding a fraction to a mixed number.

More adding fractions to mixed numbers.

Adding three fractions with different denominators.

More practice for adding three fractions with different denominators.

Subtracting fractions where the denominators are the same.

Subtracting fractions with different denominators.

## Multiplying fractions

An introduction to multiplying fractions.

Using repeated addition to multiply fractions: a great method!

A first look at multiplying fractions by a whole number.

Using partitioning to multiply mixed numbers.

Tricky little multiplication of fractions challenge which needs a good understanding of equivalent fractions.

The statutory requirements for Fractions (including decimals and percentages) in Year 5.

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## Year 5 Fractions worksheets

Free worksheets: fractions, ks2, y5.

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## Multiplying fractions by whole numbers

## Chart of equivalent fractions

## Equivalent fractions explained

## Year 5 function machine activity

## Year 5 number pyramids: multiplying fractions

## Year 5 number pyramids: adding fractions

## Equivalent fractions and decimals

## Decimal and fraction equivalence

## Different denominators: fractions addition

## Word problems: Finding fractions of numbers

## Matching equivalent fractions

## Blank hundred chart or hundred square

## Fish / cakes: matching decimals and fractions

## Fractions problem

## Ordering a set of fractions

## Relating fractions to percentages

## Relating fractions to decimals

## Mixed numbers on a number line

## Cool maths games for kids

## Calculating equivalent fractions

## Fractions made simple

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## Year 5 Maths Worksheets UK Hub Page

Welcome to our Year 5 Maths Worksheets area.

Here you will find a wide range of free printable Maths Worksheets for pupils in Year 5, and Math activities for your child to enjoy.

Take a look at our decimal place value sheets, our mental math sheets, or maybe some of our equivalent fraction worksheets. Perhaps you would prefer our statistics worksheets, or how to measure angles?

For full functionality of this site it is necessary to enable JavaScript.

Here are the instructions how to enable JavaScript in your web browser .

- This page contains links to other Math webpages where you will find a range of activities and resources.
- If you can't find what you are looking for, try searching the site using the Google search box at the top of each page.

## Year 5 Maths Learning

Here are some of the key learning objectives for the end of Year 5:

- know and use Place value up to 1 million
- Compare and order numbers up to 1 million
- Counting on and back in steps of powers of 10 from any number up to 1 million
- Round numbers to the nearest 10, 100, 1000, 10000 or 100000.
- Count forwards and backwards through zero with positive and negative numbers.
- Read Roman numerals to 1000
- add and subtract with more than 4 digits in columns
- add or subtract larger numbers mentally
- solve multi-step problems using addition and subtraction
- Multiply and divide whole numbers and decimals up to 2dp by 10, 100 or 1000
- identify multiples and factors including common factors
- multiply up to 4-digit numbers by a 1-digit number
- multiply up to 3-digits numbers by 2-digits
- divide numbers up to 4-digits by a 1-digit number
- recognise and use squared and cubed numbers
- solve problems using multiplication and division
- know what a prime number is and recall prime numbers up to 20
- compare and order fractions whose denominators are multiples of the same number
- identify, name and write equivalent fractions
- convert between mixed numbers and improper fractions
- add and subtract fractions with the same denominator or whose denominators are multiples of the same number
- multiply proper fractions and mixed numbers by whole numbers
- read and write decimal numbers as fractions.
- Multiply and divide whole numbers and decimals by 10, 100 or 1000
- read, write, order and compare numbers up to 2dp
- round decimals with up to 2dp to the nearest whole
- solve problems with numbers up to 2dp
- understand and use the percent symbol
- convert percentages to fractions with a denominator of 100
- know fraction-percentage equivalence for halves, quarters, fifths and tenths
- solve problems using simple percentages
- measure, compare and calculate using different measures
- find the area and perimeter of a range of rectilinear shapes
- convert between different units of time
- convert between different units of metric measure
- convert between simple imperial and metric units
- solve more complex money and measure problems
- draw and measure angles in degrees
- know the sum of angles at a point (360°rees;) and angles at a point along a line (180°rees;)
- identify 3D shapes from 2D representations
- Identify, describe and represent the position of a shape following a reflection or translation
- find the area and perimeter of composite rectilinear shapes
- know properties of regular and irregular shapes

Please note:

Our site is mainly based around the US Elementary school math standards.

Though the links on this page are all designed primarily for students in the US, but they are also at the correct level and standard for UK students.

The main issue is that some of the spelling is different and this site uses US spelling.

Year 5 is generally equivalent to 4th Grade in the US.

On this page you will find link to our range of math worksheets for Year 5.

Quicklinks to Year 5 ...

- Place Value Zone
- Mental Math Zone

## Word Problems Zone

- Fractions & Percentages Zone
- Measurement Zone

## Geometry Zone

Data analysis zone.

- Fun Zone: games and puzzles

Coronavirus Stay At Home Support

For those parents who have found themselves unexpectedly at home with the kids and need some emergency activities for them to do, we have started to develop some Maths Grab Packs for kids in the UK.

Each pack consists of at least 10 mixed math worksheets on a variety of topics to help you keep you child occupied and learning.

The idea behind them is that they can be used out-of-the-box for some quick maths activities for your child.

They are completely FREE - take a look!

- Free Maths Grabs Packs

## Place Value & Number Sense Zone

Year 5 place value worksheets.

Using these Year 5 maths worksheets will help your child to:

- Understand decimals;
- Use place value notation with tenths and hundredths;
- Know how to read and write numbers to 10 million;
- Understand place value to 10 million.
- Decimal Place Value Worksheets
- Year 5 Place Value up to 6 digits
- Comparing and Ordering Whole Numbers up to 6 Digits
- Ordering Decimals Worksheets
- Roman Numerals worksheets

## Year 5 Number Worksheets

Using these Year 5 Maths worksheets will help your child to:

- learn to estimate and approximate;
- order numbers, including negative numbers and decimals;
- learn how to place decimal numbers on a number line;
- understand and use multiples and factors, and know what a prime number is;
- complete the missing number to balance a math equation.
- Factors and Multiples Worksheet
- Rounding Decimals to the nearest whole
- Rounding to the nearest tenth
- Balancing Math Equations

## Year 5 Counting Worksheets

Using these sheets will support you child to:

- count on and back by multiples of 10;
- fill in the missing numbers in sequences;
- count on and back into negative numbers.
- Counting on and back by tens

## Year 5 Mental Maths Zone

Here you will find a range of printable Year 5 mental maths sheets for your child to enjoy.

Each quiz tests the children on a range of maths topics from number facts and mental arithmetic to geometry, fraction and measures questions.

A great way to revise topics, or use as a weekly math test or math quiz!

- Year 5 Mental Maths Worksheet

Top of Page

## Year 5 Addition Worksheets

- add multiple numbers in columns up to 5 digits;
- add numbers in columns, including money amounts with up to two decimal places.
- Decimal Addition Worksheets (mental)
- Free Addition Worksheets (randomly generated)
- Addition Worksheets with Multi-Addends
- Money Addition Worksheets (£ )
- Money Worksheets (randomly generated)

## Year 5 Subtraction Worksheets

- learn to subtract numbers with up to 5 digits;
- learn to subtract numbers involving money with decimals with up to two decimal places.
- Free Subtraction Worksheets (randomly generated)
- 5 Digit Subtraction Worksheets
- Money Subtraction Worksheets UK (£ )
- Subtracting Decimals Worksheets (mental)

## Year 5 Multiplication Worksheets

Using these 4th grade math worksheets will help your child to:

- use their multiplication table knowledge to multiply by 10s and 100s mentally
- multiply any whole number by a single digit;
- multiply a two or three digit number by a two digit number.
- Times Table Worksheets Circles 1 to 12 tables
- Times Tables Worksheets (randomly generated)
- Multiplying Decimals by 10 and 100
- Multiply and Divide by 10 100 (decimals)
- Multiplying by Multiples of 10 and 100
- Single Digit Multiplication Graded Sheets
- Double Digit Multiplication Worksheets (Graded)
- Single Digit Multiplication Worksheets Generator
- Multi-Digit Multiplication Generator
- Multiplication Word Problems

## Year 5 Division Worksheets

Using these Year 5 maths worksheets will help your child learn to:

- apply their division facts up to 10x10 to answer related questions involving 10s and 100s.
- divide any whole number by a single digit.
- Divding by Multiples of 10 and 100 Worksheets
- Year 5 (4th Grade) Long Division Worksheets

These sheets involve solving a range of division problems.

- Division Worksheets (Grade 4) Word Problems
- Division Facts Worksheets (randomly generated)

## Year 5 Math Problems

- apply their addition, subtraction and problem solving skills;
- apply their knowledge of rounding and place value;
- solve a range of 'real life' problems;
- attempt more challenging longer problems.

Using the problems in this section will help your child develop their problem solving and reasoning skills.

These sheets involve solving one or two more challenging longer problems.

- 4th Grade Math Problems

These sheets involve solving many 'real-life' problems involving data.

- 4th Grade Math Word Problems

These sheets involve solving a range of multiplciation problems.

- Division Worksheets Grade 4 Word Problems

## Fractions & Percentage Zone

Quicklinks to ...

- Year 5 Fractions Worksheets

## Year 5 Percentage Worksheets

Year 5 fraction worksheets.

- position different fractions on a number line;
- understand equivalent fractions;
- understand what a mixed number is;
- compare two or more fractions;
- begin to convert fractions to decimals and decimals to fractions.
- Equivalent Fractions Worksheets
- Comparing Fractions Worksheet page
- Improper Fraction Worksheets
- Fractions of Numbers
- Convert Fractions to Decimal Sheets
- Convert Decimal to Fraction Sheets
- Free Printable Fraction Riddles (harder)

Take a look at our percentage worksheets for finding the percentage of a number or money amount.

We have a range of percentage sheets from quite a basic level to much harder.

- Fractions Decimals Percents Worksheets
- Percentage Word Problems

## Year 5 Geometry Worksheets

Using these sheets will help you to:

- classify angles - acute, obtuse, right, reflex, straight;
- classify triangles - acute, obtuse, right;
- measure angles using a protractor;
- know that angles in a triangle add up to 180°
- know the properties of regular and irregular shapes
- plot and write coordinates in the first quadrant.
- 4th Grade Geometry Worksheets
- Symmetry Activities
- Coordinate Worksheets (1st Quadrant)

## Measurement Zone, including Time & Money

Year 5 measurement worksheets.

Using these sheets will help your child understand how to:

- read scales in both the standard and metric systems;
- read a scale going up in a range of fractions: halves, quarters and eighths;
- read a scale going up in tenths, fives, tens, fifties, and hundreds.
- 4th Grade Measurement Worksheets
- Converting Customary Units Worksheets
- Metric Conversion Worksheets

## Area and Perimeter Worksheets

- understand area and perimeter;
- learn how to find the area and perimeter of rectangles and rectilinear shapes.
- Area Worksheets
- Perimeter Worksheets

## Year 5 Time Worksheets (4th Grade)

Using the sheets in this section will help your child to:

- tell the time to the nearest minute;
- become familiar with both digital and analogue times;
- add and subtract time intervals.
- Telling Time Worksheets Grade 4 (1 minute intervals)
- 24 Hour Clock Conversion Worksheets

On this webpage there is a selection of printable 24 hour (military time) conversion worksheets which will help you learn to convert from 24 hour clock to standard 12 hour time, and from standard time to 24 hour time.

## Time Interval Worksheets

These sheets will help you learn to add and subtract hours and minutes from times as well as working out a range of time intervals.

- Add and Subtract Time Worksheets
- Elapsed Time Worksheets

## Time Puzzles - harder

Here you will find our selection of harder time puzzles.

- Time Word Problems Worksheets - Riddles (harder)

Using these 4th grade math worksheets will help you to:

- draw and read bar graphs with increasingly complex numbers;
- read, interpret and draw line graphs;
- Year 5 Bar Graph Worksheets (4th grade)
- Year 5 Line Graph Worksheets

## Fun Zone: Puzzles, Games and Riddles

Year 5 maths games.

- Year 5 Math Games (4th Grade)

## Year 5 Maths Puzzles

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## Adding & Subtracting Fractions Differentiated W/S

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

30 November 2014

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## joanne_david53

Great! Thankyou

## ColinDeanoDean

Marvellous. My class of 4 students (SEND) were keen to get on to the Gold questions. Thanks for sharing.

Can you please show the answers please?

Very useful!

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## Add Fractions Lesson

This Year 5 Add Fractions lesson covers the prior learning of adding 2 or more fractions, before moving onto the main skill of adding fractions.

The lesson starts with a prior learning worksheet to check pupils’ understanding. The interactive lesson slides recap the prior learning before moving on to the main skill. Children can then practise further by completing the activities and can extend their learning by completing an engaging extension task.

National Curriculum Objective Mathematics Year 5: (5F2a) Recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number [for example, 2/5 + 4/5 = 6/5 = 1 1/5 ] Mathematics Year 5: (5F4) Add and subtract fractions with the same denominator and denominators that are multiples of the same number

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## Lesson Slides

These lesson slides guides pupils through the prior learning of adding 2 or more fractions, before moving onto the main skill of add fractions. There are a number of questions to check pupils' understanding throughout.

## Modelling PowerPoint

This powerpoint can be used to model the questions that the children will complete on the Varied Fluency and Reasoning & Problem Solving worksheets as part of this lesson.

These are the same as the lesson slides on Classroom Secrets. You can assign this as an activity for pupils to access individually in school or remotely from home.

## 1 Prior Learning

## Video Tutorial

Laura uses practical methods to demonstrate addition in this Add 2 or More Fractions Video Tutorial. She uses key terminology including numerator and denominator.

## Interactive Activity

This Year 4 Add 2 or More Fractions Game checks pupils' understanding of adding 2 or more fractions together where the denominators are the same.

## 2 Varied Fluency

This differentiated worksheet includes varied fluency questions for pupils to practise the main skill of this lesson.

## Interactive Animation Activity

This Add Fractions Interactive Animation supports pupils’ understanding of adding more than 2 fractions. Children are asked interactive questions throughout the animation.

## 2 Reasoning & Problem Solving

## Mixed Practice

This worksheet includes varied fluency, reasoning and problem solving questions for pupils to practise the main skill of add fractions.

This add fractions extension task includes a challenge activity which can be used to further pupils' understanding of the concepts taught in the add fractions lesson.

This differentiated worksheet includes reasoning and problem solving questions to support the teaching of this step.

## Discussion Problem

This worksheet includes two discussion problems which can be used in pairs or small groups to further pupils' understanding of the concepts taught in this lesson.

This Year 5 Add Fractions Maths Challenge is designed to check pupils understanding of adding fractions within a problem solving context.

This differentiated worksheet includes varied fluency and reasoning and problem solving questions to support the teaching of this step.

## 2 Additional Activities

## Consolidation Pack

These Fractions worksheets are fantastic at helping your pupils practice their reasoning and problem solving skills. This pack contains two different question types for Year 5 Spring Block 2.

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Learning From Home - Year 5 Fractions Worksheets Pack 21 reviews Maths Workbooks Year 5 What is this fractions worksheets for year 5 pack? Designed by teachers to help support children's learning both in school and from home, this fantastic pack contains a number of engaging activities and fractions worksheets for year 5 learners. Show more

In Year 5, your child will continue to learn about fractions as numbers, measures, and operators. They will now extend their knowledge of fractions to thousandths, and will start learning about percentages. The key words for this section are denominator and numerator. What your child will learn

What is this fractions worksheets for year 5 pack? This activity pack contains activities covering all the Year 5 objectives in maths fractions, as well as a program of study document matching the activities to the objectives. Show more Related Searches

These grade 5 worksheets provide practice in adding and subtracting fractions with both like and unlike denominators. Sample Grade 5 Adding Fractions Worksheet More fractions worksheets Explore all of our fractions worksheets, from dividing shapes into "equal parts" to multiplying and dividing improper fractions and mixed numbers. What is K5?

Grade 5: Fraction addition and subtraction Fraction multiplication and division Converting fractions, equivalent fractions, simplifying fractions Fraction to / from decimals Grade 6: Fraction addition and subtraction Fraction multiplication and division worksheets Converting fractions, equivalent fractions, simplifying fractions

Download Free Now What to expect from our Year 5 Maths worksheets Year 5 Place Value Worksheets Year 5 Addition and Subtraction Worksheets Year 5 Multiplication and Division Worksheets Year 5 Fractions Worksheets Year 5 Decimals and Percentages Worksheets Year 5 Statistics Worksheets Year 5 Measurement Worksheets Year 5 Maths Tests

Worksheet Example Fractions (Same Denominator) 1 5 + 2 5 Unit Fractions 1 3 + 1 9 Easy Proper Fractions 3 8 + 2 7 Harder Proper Fractions 7 12 + 15 25 Easy Mixed Fractions 1 2 3 + 2 1 4 Harder Mixed Fractions 1 7 9 + 3 5 11 Easy Improper Fractions 5 9 + 7 4 Harder Improper Fractions 33 15 + 43 11 top> Fractions - Subtraction

25 reviews Fractions, Decimals and Percentages Fractions Comparing and Ordering Fractions How can I use these Year 5 Fractions Worksheets with children? This fantastic set of Ordering Fractions worksheets will help Year 5 children order fractions where the denominators are multiples. Show more Related Searches

Fractions Year 5 Subject: Mathematics Age range: 7-11 Resource type: Lesson (complete) File previews pptx, 25.67 MB This is a lesson meant as a recap for children that have already covered the following area of fractions in their Maths learning.

The Regenerators Green Lessons BBC Teach: KS2 Maths Year 5 Maths Fractions learning resources for adults, children, parents and teachers.

Cut out the fraction circles and segments of one copy and leave the other copy intact. To add 1/3 + 1/2, for example, place a 1/3 segment and a 1/2 segment into a circle and hold it over various fractions on the intact copy to see what 1/2 + 1/3 is equivalent to. 5/6 or 10/12 should work. Small Fraction Circles.

Coverage of the Spring Block 2 (Fractions) small steps include equivalent fractions, improper fractions to mixed numbers, mixed numbers to improper fractions, number sequences, compare and order less than 1, compare and order more than 1, add and subtract fractions, add fractions within 1, add 3 or more fractions, add fractions, add mixed number...

To compare and order the fractions year 5 pupils will need to: Colour in parts of circles to represent each fraction. Draw lines to match the fractions with their equivalent one. Use the symbols <, > or = to compare the given fractions. Order a set of fractions from the smallest to the largest.

Fraction worksheets for Year 5 covering both fractions and decimal fractions. Equivalent fractions, mixed numbers, improper fractions and percentages are all part of this year's work. There is certainly a lot of fraction work to cover in Year 5 as the Programme of Study also includes decimals and percentages. Understanding equivalence is still ...

This Year 5 Fractions Identify and Find Equivalent Fractions Question Set covers the national curriculum objective to identify and find equivalent fractions of a given fraction, including tenths and hundredths. Registering for an LbQ account will give you access to the questions included in this resource and many 1,000s more.

Year 5 Fractions worksheets Free worksheets: Fractions, KS2, Y5 You'll need to login or Register first to access these worksheets for free. Once you've tried out our free worksheets, why not explore all our resources (1000s of worksheets, interactive tutorials, learning packs and more) with a 14-day FREE trial subscription.

Fractions compare and order fractions whose denominators are multiples of the same number identify, name and write equivalent fractions convert between mixed numbers and improper fractions add and subtract fractions with the same denominator or whose denominators are multiples of the same number

Adding and Subtracting Fractions Worksheet. Year 5 Subtract Fractions with Denominators that are Multiples Differentiated Worksheets. Help. Use this fabulous pack of space-themed games to practice adding and subtracting fractions with the same denominator. A fabulous way to develop mathematical fluency while having fun playing maths games.

Year 5 Fractions Bundle These are a collection of my Fractions resources. I have used all of these resources with a Year 5 class. The resources could also be used in KS2 as revision activities, for example in Y6. They follow the mastery approach and follow fluency, reasoning and problem solving.

A great way to get Year 5 students practising their mixed to improper fractions conversions, this brightly coloured worksheet asks students to convert between improper fractions, visual pie graphs and mixed fractions - and it comes with an answer sheet for self-assessment if required.

This equivalent fractions sorting activity is a great small group or whole-class activity to consolidate students' understanding of equivalent fractions. Print and laminate the six cookie jars and the cookies. Provide each student with a cookie. As a class, sort the cookies into the correct cookie jars, according to equivalence.

File previews. doc, 709 KB. Worksheet on adding and subtracting fractions for Level 4/5 students. Split into 3 sections (Bronze: Same denominator, Silver: Different denominator - have to change one fraction, Gold: Different denominator - have to change both fractions). Students can work way through worksheet or be directed to particular section ...

Mathematics Year 5: (5F2a) Recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number [for example, 2/5 + 4/5 = 6/5 = 1 1/5 ] Mathematics Year 5: (5F4) Add and subtract fractions with the same denominator and denominators that are multiples of the same number.