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Simplifying Proper Fractions to Lowest Terms (Harder Questions) (A)

Welcome to The Simplifying Proper Fractions to Lowest Terms (Harder Questions) (A) Math Worksheet from the Fractions Worksheets Page at Math-Drills.com. This math worksheet was created or last revised on 2020-01-20 and has been viewed 443 times this week and 696 times this month. It may be printed, downloaded or saved and used in your classroom, home school, or other educational environment to help someone learn math.

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Fraction Worksheets

Fraction worksheets include hundreds of printable handouts with exclusive pages in each sub topic. After the sub topics, you can find plenty of worksheets that include complete review of fractions.

List of Fraction Worksheets

Halves, Thirds, and Fourths

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Explore the Fraction Worksheets in Detail

Open the door to understanding fractions for the early learners in kindergarten through grade 3 with our halves, thirds, and fourths worksheets! Kid-friendly illustrations, engaging exercises, and hands-on activities allow children soak up everything about halves, thirds, and quarters.

Help 3rd grade and 4th grade children understand fractions as equal parts of a whole using shapes, real-life objects, pizza slices, and lots of visual fraction models! They identify proper fractions, unit fractions, mixed numbers, and do a lot more.

Want the child to be adept at identifying fractions in a jiffy? Go great guns at finding numerators and denominators, completing the table by forming fractions, and more with these dynamic pdf worksheets.

What type of fraction is 1/4? Yes, it’s a unit fraction. Identify a proper fraction, improper fraction, mixed number, unit fraction, like fractions, unlike fractions like a pro with these printable types of fractions worksheets.

Reduce the proper fraction, improper fraction and mixed numbers to its lowest term.

Which is easier to interpret, 1 1/4 or 5/4? Some students might find working with mixed numbers harder than improper fractions, for others might find improper fractions easier. Prep up converting between the two with these pdf worksheets!

Interactive worksheets that use fraction strips, pie model, visual graphics and more.

These fraction worksheets on number line help kids to visually understand the fractions.

Add like, unlike, proper, improper and mixed fractions. Special fractions such as unit and reciprocal fraction included.

Free subtraction worksheets include all types of fractions build with various skill levels.

Discern multiplying fractions by whole numbers using repeated addition, arrays, number line models, equal groups, and area models; progress multiplying two and three fractions, multiplying fractions by mixed numbers, etc.; solve a series of fraction multiplication word problems.

Plug into our printable dividing fractions worksheets and practice performing division of fractions by whole numbers, fractions by fractions, mixed number by fractions, and more!

Learn how fraction applied and used in real-life by practicing these word problems.

Explore our fraction comparison worksheets to effortlessly compare two fractions with like and unlike denominators. With a wide-range of models and exercises, these pdfs are a great practice tool for children.

Which is greater, 1 2/5 or 2 5/6? Compare such mixed numbers instantly and flawlessly with a devout practice of our mixed number comparison worksheets!

Arrange the fractions in either increasing or decreasing order.

Round the fractions to the nearest whole number or to the nearest half. Number lines are also included.

Estimate the sum, difference, product and quotient involving fractions.

Converting between Fractions and Decimals Worksheets

Support the child’s knowledge involving conversion between fractions and decimals by incorporating a host of engaging exercises and up their forte in leaps and bounds!

Convert between Fractions, Decimals, and Percents Worksheets

Help the learners make a major breakthrough in performing the conversion between percentages, decimals, and fractions. The vast assemblage of exercises focuses on improving while testing their grasp on the topic.

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Fraction Worksheets

Several different types of fraction worksheets are available on the pages below. Includes basic fraction worksheets, equivalent fractions, comparing fractions, ordering fractions, and more.

Printable fraction games and printable worksheets; Manipulative fraction strips, printable fraction pizzas, a memory-matching game, and more.

This page has worksheets and activities for teaching students about equivalent fractions and reducing fractions into simplest terms.

Compare and order pairs of fractions with these task cards, learning center activities, and worksheets.

These worksheets all feature fractions on number lines.

Download and print activities on calculating fractional parts of sets. (example: What is 3/4 of 24?)

Mixed number printables; Includes basic mixed numbers, as well as adding and subtracting mixed numbers.

Print worksheets for learning about reciprocal fractions.

Operations With Fractions

Practice addition and subtraction of fractions (with same and different denominators) and mixed numbers.

Practice subtracting fractions and mixed numbers with these printables. Includes like and unlike denominators.

Multiply fractions and mixed numbers. Includes word problems, as well as worksheets with models and illustrations.

With these worksheets, your students can practice dividing fractions and mixed numbers.

More Fractions

This page has printable fraction strips, fraction circles, fraction pizzas, and other manipulative fraction tools.

These very basic fraction worksheets cover only halves and quarters (fourths).

Find the least common denominators for the pairs of fractions given.

Learn about basic decimals, decimal place value, comparing and ordering decimals, rounding decimals, and adding, subtracting, multiplying, and dividing decimals.

Learn about percentages, such as converting decimals and fractions to percents and word problems involving percents.

Practice comparing two quantities with ratios. Look at the pictures and determine the ratios of objects.

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Multiplying Fractions Worksheets

Welcome to our Multiplying Fractions Worksheets page. Here you will find a range of free printable sheets and support to help your child learn to multiply fractions by integers or other fractions.

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Multiplying Fractions Online Quiz

We have a calculator to help you to multiply two fractions together.

You can multiply mixed numbers or multiply a fraction by an integer too.

All the working out is shown step-by-step so you can see how it is worked out.

• Multiply Fractions Calculator

How to Multiply Fractions Support

This support page will help you find out all about how to multiply fractions together.

There are several worked examples and a printable support sheet.

Formula for multiplying two fractions

\[{a \over b} \times {c \over d} = {ac \over bd} \]

• How do you Multiply Fractions Support

About our Multiplying Fractions Worksheets

Here you will find a selection of Fraction worksheets designed to help your child understand how to multiply a fraction by an integer or another fraction.

The sheets are carefully graded so that the easiest sheets come first, and the most difficult sheet is the last one.

The sheets have been split into two sections:

• The first section contains sheets multiplying fractions by integers
• The second section contains sheets multiplying fractions by other fractions.

Before your child tackles multiplying fractions, they should be confident with converting improper fractions to mixed numbers, and also using simplest form.

Using these sheets will help your child to:

• multiply a fraction by a whole number;
• multiply 2 fractions together;
• apply their understanding of simplest form;

Want to test yourself to see how well you have understood this skill?

• Try our NEW quick quiz at the bottom of this page.

Multiplying Fractions by an Integer Worksheets

• Multiply fractions by integer 1
• Sheet 1 Answers
• PDF version
• Multiply fractions by integer 2
• Sheet 2 Answers
• Multiply Fractions 1
• Multiply Fractions 2
• Multiplying Fractions 3
• Sheet 3 Answers
• Multiply Fractions 4
• Sheet 4 Answers
• Multiply Fractions 5
• Sheet 5 Answers

Multiplying Fractions Walkthrough Video

This short video walkthrough shows several problems from our Multiply Fractions Worksheet 2 being solved and has been produced by the West Explains Best math channel.

If you would like some support in solving the problems on these sheets, check out the video!

More Recommended Math Resources

Take a look at some more of our worksheets and resources similar to these.

Multiplying and Dividing Fractions Support Pages

Take a look at some of our other multiplying and dividing fractions support pages if you need more help with multiplying or dividing fractions.

• How to Multiply Mixed Fractions support page
• How to Divide Fractions
• How to Divide Mixed Numbers

Multiplying and Dividing Fractions Worksheets

We have more worksheets to help your child learn and practice multiplying and dividing fractions.

All the sheets are carefully graded with different levels of support.

Take a look at our full range below.

• Multiplying Mixed Fractions Worksheets
• Dividing Fractions Worksheets
• Dividing Fractions by Whole Numbers
• Dividing Mixed Fractions Worksheets
• Multiplying and Dividing Fractions (Randomly Generated)
• Add Subtract Multiply Divide Fractions (Randomly Generated)

How to Convert Improper Fractions

This support page shows how to convert improper fractions to mixed numbers, and how to convert mixed numbers to improper fractions.

You will also find printable support sheets, and several practice math worksheets for this learning fractions skill.

• Convert Improper Fractions Support

Simplifying Fractions

This is also sometimes called reducing fractions to their simplest form.

This involves dividing both the numerator and denominator by a common factor to reduce the fraction to the equivalent fraction with the smallest possible numerator and denominator.

The printable fraction page below contains more support, examples and practice about simplifying fractions.

• How to Simplify Fractions support page
• Simplify Fractions Practice Zone

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This quick quiz tests your understanding and skill at multiplying fractions.

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Fraction Word Problems (Difficult)

Here are some examples of more difficult fraction word problems. We will illustrate how block models (tape diagrams) can be used to help you to visualize the fraction word problems in terms of the information given and the data that needs to be found.

Related Pages Fraction Word Problems Singapore Math Lessons Fraction Problems Using Algebra Algebra Word Problems

Block modeling (also known as tape diagrams or bar models) are widely used in Singapore Math and the Common Core to help students visualize and understand math word problems.

Example: 2/9 of the people on a restaurant are adults. If there are 95 more children than adults, how many children are there in the restaurant?

Solution: Draw a diagram with 9 equal parts: 2 parts to represent the adults and 7 parts to represent the children.

5 units = 95 1 unit = 95 ÷ 5 = 19 7 units = 7 × 19 = 133

Answer: There are 133 children in the restaurant.

Example: Gary and Henry brought an equal amount of money for shopping. Gary spent $95 and Henry spent $350. After that Henry had 4/7 of what Gary had left. How much money did Gary have left after shopping?

350 – 95 = 255 3 units = 255 1 unit = 255 ÷ 3 = 85 7 units = 85 × 7 = 595

Answer: Gary has $595 after shopping.

Example: 1/9 of the shirts sold at Peter’s shop are striped. 5/8 of the remainder are printed. The rest of the shirts are plain colored shirts. If Peter’s shop has 81 plain colored shirts, how many more printed shirts than plain colored shirts does the shop have?

Solution: Draw a diagram with 9 parts. One part represents striped shirts. Out of the remaining 8 parts: 5 parts represent the printed shirts and 3 parts represent plain colored shirts.

3 units = 81 1 unit = 81 ÷ 3 = 27 Printed shirts have 2 parts more than plain shirts. 2 units = 27 × 2 = 54

Answer: Peter’s shop has 54 more printed colored shirts than plain shirts.

Solve a problem involving fractions of fractions and fractions of remaining parts

Example: 1/4 of my trail mix recipe is raisins and the rest is nuts. 3/5 of the nuts are peanuts and the rest are almonds. What fraction of my trail mix is almonds?

How to solve fraction word problem that involves addition, subtraction and multiplication using a tape diagram or block model

Example: Jenny’s mom says she has an hour before it’s bedtime. Jenny spends 3/5 of the hour texting a friend and 3/8 of the remaining time brushing her teeth and putting on her pajamas. She spends the rest of the time reading her book. How long did Jenny read?

How to solve a four step fraction word problem using tape diagrams?

Example: In an auditorium, 1/6 of the students are fifth graders, 1/3 are fourth graders, and 1/4 of the remaining students are second graders. If there are 96 students in the auditorium, how many second graders are there?

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Interactive Unit Fractions Drag unit fraction pieces (1/2, 1/3, 1/4, 1/5, 1/6, 1/8, 1/9, 1,10, 1/12, 1,16, and 1/20) onto a square that represents one whole. You can see that, for example, 6 pieces of 1/6 fit into one whole, or that 3 pieces of 1/9 are equal to 1/3, and many other similar relationships. /interactives/unit_fractions.php

You can also include visual models (fraction pies), which will make comparing easy and works well for making fraction comparison worksheets for grades 3-4.

To create problems where it is necessary to find a common denominator, choose "random fractions".

Math Made Easy, Grade 4 Math Workbook

This workbook has been compiled and tested by a team of math experts to increase your child's confidence, enjoyment, and success at school. Fourth Grade: Provides practice at all the major topics for Grade 4 with emphasis on multiplication and division of larger numbers. Includes a review of Grade 3 topics and a preview of topics in Grade 5. Includes Times Tables practice.

See more Math Made Easy books at Amazon

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Multiply & Divide Fractions

Multiplication and division of fractions and mixed numbers.

These grade 5 worksheets begin with multiplying and dividing fractions by whole numbers and continue through mixed number operations.  

Sample Grade 5 Multiplying 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.

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