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## Eureka Math Grade 5 Module 4 Lesson 13 Answer Key

Engage ny eureka math 5th grade module 4 lesson 13 answer key, eureka math grade 5 module 4 lesson 13 problem set answer key.

Solve. Draw a rectangular fraction model to show your thinking. Then, write a multiplication sentence. The first one has been done for you.

b. Half of \(\frac{1}{3}\) pan of brownies = _____ pan of brownies.

Answer: \(\frac{1}{6}\) pan of brownies.

Explanation: Given that there is half of \(\frac{1}{3}\) pan of brownies which is \(\frac{1}{2}\) × \(\frac{1}{3}\) = \(\frac{1}{6}\) pan of brownies.

c. A fourth of \(\frac{1}{3}\) pan of brownies = _____ pan of brownies.

Answer: \(\frac{1}{12}\) pan of brownies.

Explanation: Given that there is half of \(\frac{1}{3}\) pan of brownies which is \(\frac{1}{4}\) × \(\frac{1}{3}\) = \(\frac{1}{12}\) pan of brownies.

d. \(\frac{1}{4}\) of \(\frac{1}{4}\)

Answer: \(\frac{1}{16}\).

Explanation: Given that \(\frac{1}{4}\) of \(\frac{1}{4}\) which is \(\frac{1}{4}\) × \(\frac{1}{4}\) = \(\frac{1}{16}\).

e. \(\frac{1}{2}\) of \(\frac{1}{6}\)

Answer: \(\frac{1}{12}\).

Explanation: Given that \(\frac{1}{2}\) of \(\frac{1}{6}\) which is \(\frac{1}{2}\) × \(\frac{1}{6}\) = \(\frac{1}{12}\).

Question 2. Draw rectangular fraction models of 3 × \(\frac{1}{4}\) and \(\frac{1}{3}\) × \(\frac{1}{4}\). Compare multiplying a number by 3 and by 1 third.

Answer: \(\frac{3}{4}\) > \(\frac{1}{12}\).

Question 3. \(\frac{1}{2}\) of Ila’s workspace is covered in paper. \(\frac{1}{3}\) of the paper is covered in yellow sticky notes. What fraction of Ila’s workspace is covered in yellow sticky notes? Draw a picture to support your answer.

Answer: \(\frac{1}{6}\)

Explanation: Given that \(\frac{1}{2}\) of Ila’s workspace is covered in paper and \(\frac{1}{3}\) of the paper is covered in yellow sticky notes, so the fraction of Ila’s workspace is covered in yellow sticky notes is \(\frac{1}{2}\) × \(\frac{1}{3}\) which is \(\frac{1}{6}\).

Question 4. A marching band is rehearsing in rectangular formation. \(\frac{1}{5}\) of the marching band members play percussion instruments. \(\frac{1}{2}\) of the percussionists play the snare drum. What fraction of all the band members play the snare drum?

Answer: The fraction of all the band members who play the snare drum is \(\frac{1}{10}\).

Explanation: Given that a \(\frac{1}{5}\) of the marching band members play percussion instruments and \(\frac{1}{2}\) of the percussionists play the snare drum, so the fraction of all the band members play the snare drum is \(\frac{1}{2}\) of \(\frac{1}{5}\) which is \(\frac{1}{2}\) × \(\frac{1}{5}\) = \(\frac{1}{10}\).

Question 5. Marie is designing a bedspread for her grandson’s new bedroom. \(\frac{2}{3}\) of the bedspread is covered in race cars, and the rest is striped. \(\frac{1}{4}\) of the stripes are red. What fraction of the bedspread is covered in red stripes?

Answer: The fraction of the bedspread is covered in red stripes is \(\frac{1}{12}\).

Explanation: Given that \(\frac{2}{3}\) of the bedspread is covered in race cars, and the rest is stripped and \(\frac{1}{4}\) of the stripes are red. The striped bedspread would be 1 – \(\frac{2}{3}\) which is \(\frac{1}{3}\). So the fraction of the bedspread is covered in red stripes is \(\frac{1}{3}\) × \(\frac{1}{4}\) which is \(\frac{1}{12}\).

## Eureka Math Grade 5 Module 4 Lesson 13 Exit Ticket Answer Key

Question 1. Solve. Draw a rectangular fraction model, and write a number sentence to show your thinking.

\(\frac{1}{3}\) × \(\frac{1}{3}\) =

Answer: \(\frac{1}{9}\).

Explanation: Given that \(\frac{1}{3}\) × \(\frac{1}{3}\) which is \(\frac{1}{9}\).

Question 2. Ms. Sheppard cuts \(\frac{1}{2}\) of a piece of construction paper. She uses \(\frac{1}{6}\) of the piece to make a flower. What fraction of the sheet of paper does she use to make the flower?

Answer: The fraction of the sheet of paper does she use to make the flower is \(\frac{1}{12}\).

Explanation: Given that Ms. Sheppard cuts \(\frac{1}{2}\) of a piece of construction paper and she uses \(\frac{1}{6}\) of the piece to make a flower, so the fraction of the sheet of paper does she use to make the flower is \(\frac{1}{2}\) × \(\frac{1}{6}\) which is \(\frac{1}{12}\).

## Eureka Math Grade 5 Module 4 Lesson 13 Homework Answer Key

Solve. Draw a rectangular fraction model to show your thinking.

a. Half of \(\frac{1}{2}\) cake = _____ cake.

Answer: \(\frac{1}{4}\).

Explanation: Given that half of \(\frac{1}{2}\) cake which is \(\frac{1}{2}\) × \(\frac{1}{2}\) = \(\frac{1}{4}\).

b. One-third of \(\frac{1}{2}\) cake = _____ cake.

Answer: \(\frac{1}{6}\).

Explanation: Given that One-third of \(\frac{1}{2}\) cake which is \(\frac{1}{3}\) × \(\frac{1}{2}\) = \(\frac{1}{6}\).

c. \(\frac{1}{4}\) of \(\frac{1}{2}\)

Answer: \(\frac{1}{8}\).

Explanation: Given that latex]\frac{1}{4}[/latex] of \(\frac{1}{2}\) which is latex]\frac{1}{4}[/latex] × \(\frac{1}{2}\) = \(\frac{1}{8}\).

d. \(\frac{1}{2}\) × \(\frac{1}{5}\)

Answer: \(\frac{1}{10}\).

Explanation: Given that latex]\frac{1}{2}[/latex] of \(\frac{1}{5}\) which is latex]\frac{1}{2}[/latex] × \(\frac{1}{5}\) = \(\frac{1}{10}\).

e. \(\frac{1}{3}\) × \(\frac{1}{3}\)

Explanation: Given that latex]\frac{1}{3}[/latex] of \(\frac{1}{3}\) which is latex]\frac{1}{3}[/latex] × \(\frac{1}{3}\) = \(\frac{1}{9}\).

f. \(\frac{1}{4}\) × \(\frac{1}{3}\)

Explanation: Given that latex]\frac{1}{4}[/latex] of \(\frac{1}{3}\) which is latex]\frac{1}{4}[/latex] × \(\frac{1}{3}\) = \(\frac{1}{12}\).

Question 2. Noah mows \(\frac{1}{2}\) of his property and leaves the rest wild. He decides to use \(\frac{1}{5}\) of the wild area for a vegetable garden. What fraction of the property is used for the garden? Draw a picture to support your answer.

Answer: The fraction of the property is used for the garden is \(\frac{1}{10}\).

Explanation: Given that Noah mows \(\frac{1}{2}\) of his property and leaves the rest wild and he decides to use \(\frac{1}{5}\) of the wild area for a vegetable garden, so the fraction of the property is used for the garden is \(\frac{1}{2}\) × \(\frac{1}{5}\) which is \(\frac{1}{2}\) × \(\frac{1}{5}\) = \(\frac{1}{10}\).

Question 3. Fawn plants \(\frac{2}{3}\) of the garden with vegetables. Her son plants the remainder of the garden. He decides to use \(\frac{1}{2}\) of his space to plant flowers, and in the rest, he plants herbs. What fraction of the entire garden is planted in flowers? Draw a picture to support your answer.

Answer: The fraction of the entire garden is planted in flowers is \(\frac{1}{6}\).

Explanation: Given that fawn plants \(\frac{2}{3}\) of the garden with vegetables and her son plants the remainder of the garden and he decides to use \(\frac{1}{2}\) of his space to plant flowers, and in the rest, he plants herbs. So her son gets \(\frac{2}{3}\) × \(\frac{1}{2}\) which is \(\frac{1}{3}\). So the fraction of the entire garden is planted in flowers is \(\frac{1}{2}\) × \(\frac{1}{3}\) which is \(\frac{1}{6}\).

Question 4. Diego eats \(\frac{1}{5}\) of a loaf of bread each day. On Tuesday, Diego eats \(\frac{1}{4}\) of the day’s portion before lunch. What fraction of the whole loaf does Diego eat before lunch on Tuesday? Draw a rectangular fraction model to support your thinking.

Answer: The fraction of the whole loaf does Diego eat before lunch on Tuesday is \(\frac{1}{20}\).

Explanation: Given that Diego eats \(\frac{1}{5}\) of a loaf of bread each day and on tuesday, Diego eats \(\frac{1}{4}\) of the day’s portion before lunch. So the fraction of the whole loaf does Diego eat before lunch on Tuesday is \(\frac{1}{5}\) × \(\frac{1}{4}\) which is \(\frac{1}{20}\).

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## Eureka Math Grade 5 Module 5 Lesson 13

Displaying top 8 worksheets found for - Eureka Math Grade 5 Module 5 Lesson 13 .

Some of the worksheets for this concept are Grade 5 module 1, Grade 3 book of s s, Grade 2 book of s s, Grade 5 module 3, Grade 5 module 3 application problems engageny eureka math, A story of ratios, Eureka math homework helper 20152016 grade 5 module 2, Grade 4 module 3.

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## 1. GRADE 5 MODULE 1

2. grade 3 book of sprints, 3. grade 2 book of sprints, 4. grade 5 module 3, 5. grade 5 module 3 application problems engageny eureka math ..., 6. a story of ratios, 7. eureka math homework helper 20152016 grade 5 module 2, 8. grade 4 module 3.

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## Eureka Math Grade 5 Module 5 Lesson 13 Answer Key

Engage ny eureka math 5th grade module 5 lesson 13 answer key, eureka math grade 5 module 5 lesson 13 problem set answer key.

Question 1. Find the area of the following rectangles. Draw an area model if it helps you. a. \(\frac{5}{4}\) km × \(\frac{12}{5}\) km b. 16\(\frac{1}{2}\) m × 4\(\frac{1}{5}\) m c. 4\(\frac{1}{3}\) yd × 5\(\frac{2}{3}\) yd d. \(\frac{7}{8}\) mi × 4\(\frac{1}{3}\) mi Answer:

Therefore, 3 square kilometres

16 1/2 x 4 1/5

= (16 x 4) + ( 16 x 1/5) + ( 4 x 1/2) x ( 1/2 x 1/5 )

= 64 + 16/5 + 2 + 1/10

Therefore, 69 3/10 square metres

4 1/3 x 5 2/3

4 x 5 + 4 x 2/3 + 5 x 1/3 + 1/3 x 2/3

= 20 +8/3 +5/3 +2/9

Therefore, 24 5/9 square yards

d.7/8 mi x 4 1/3 mi

= (7/8 x 4) + (7/8 x 1/3)

= 84/24 + 7/24

Therefore, 3 19/24 sq. mi

Question 2. Julie is cutting rectangles out of fabric to make a quilt. If the rectangles are 2\(\frac{3}{5}\) inches wide and 3\(\frac{2}{3}\) inches long, what is the area of four such rectangles? Answer:

Given, the measurements of the rectangles =

2 3/5 x 3 2/3

=( 2 x 3 ) + (2 x 2/3) + (3 x 3/5) + ( 3/5 x 2/3)

= 6 + 4/3 + 9/5 + 6/15

=6 + 3 8/15

= 9 8/15 square inches

Now, number of rectangles = 4

So, 4 x 9 8/15

= 36 + 2 2/15

Therefore, 38 2/15 square inches.

Given, the measurements of the lawn = 24 1/2 yd by 24 1/2 yd

The area of the lawn =

24 1/2 x 24 1/2

= (24 x 24 ) + (24 x 1/2 ) + (24 x 1/2) + ( 1/2 x 1/2)

= 576 + 12 +12 +1/4

=600 1/4 square yards

The area of the pool house = 16 square yards

The area of the pool =

7 1/2 yd x 2 1/2 yd

= 14 + 3 1/2 + 1 + 1/4

The area of sidewalk = 1 yd x 3 yd = 3 yd

Now, the amount of sod Howard needs to buy =

6001/4 – 16 – 18 3/4 – 3

= 581 1/4 – 18 2/4

= 580 5/4 – 18 3/4

= 562 1/2 square yards

Therefore, Howard need 562 1/2 square yards of sod.

## Eureka Math Grade 5 Module 5 Lesson 13 Exit Ticket Answer Key

Find the area of the following rectangles. Draw an area model if it helps you. Question 1. \(\frac{7}{2}\) mm × \(\frac{14}{5}\) mm Answer:

7/2 mm x 4/5 mm

= 7/2 x 4/5

= 9 4/5 square mm

Question 2. 5\(\frac{7}{8}\) km × \(\frac{18}{4}\) km Answer:

5/8 km x 18/4 km

= 5/8 x 18/4

= 26 7/16 square kilometres.

## Eureka Math Grade 5 Module 5 Lesson 13 Homework Answer Key

Question 1. Find the area of the following rectangles. Draw an area model if it helps you. a. \(\frac{8}{3}\) cm × \(\frac{24}{4}\) cm b. \(\frac{32}{5}\) ft × 3\(\frac{3}{8}\) ft c. 5\(\frac{4}{6}\) in × 4 \(\frac{3}{5}\) in d. \(\frac{5}{7}\) m × 6\(\frac{3}{5}\) m Answer:

8/3 cm x 24/4 cm

= 8/3 x 24/4

Therefore, 16 square centimetres

32/5 feet x 3 3/8

32/5 = 6 2/5

= 18 + 18/8 + 6/5 + 9/40

= 18 + 2 1/4 + 1 1/5 + 9/40

= 21 + 27/40

Therefore, 21 27/40 square feet

5 4/6 feet x 4 3/5 feet

( 5 x 4 ) + ( 5 x 3/5) + (4/6 x 4 ) + ( 4/6 x 3/5)

= 20 + 15/5 + 16/6 + 12/30

=20 + 3 + 8/3 + 2/5

= 25 +20/30 + 12/30

Therefore, 26 1/15 square inches

5/7 m x 6 3/5 m

= 5/7 x 6 3/5

= 30/7 + 15/35

= 4 2/7 + 3/7

Therefore, 4 5/7 square inches

Question 2. Chris is making a tabletop from some leftover tiles. He has 9 tiles that measure 3\(\frac{1}{8}\) inches long and 2\(\frac{3}{4}\) inches wide. What is the greatest area he can cover with these tiles? Answer:

Given, the measurements of the tiles =

3 1/8 x 2 3/4

= 6 + 9/4 + 2/8 + 3/32

= 6 +2 1/4 + 1/4 + 3/32

Now, the greatest area he can cover with 9 tiles=

= 9 x 8 19/32

= 72 + 191/32

= 72 +5 11/32

= 77 11/32 square inches.

Therefore, the greatest area he can cover = 77 11/32.

31 7/8 x 19 1/2

= ( 31 x 19) + ( 31 x 1/2 ) + (19 x 7/8 ) + ( 7/8 x 1/2)

= 589 + 31/2 + 133/8 + 7/16

= 589 + 15 1/2 + 16 5/8 + 7/16

= 620 + 1/2 + 5/8 + 7/16

= 630 + 8/16 + 10/16 + 7/16

= 620 25/16 square feet.

b. 13 3/5 feet x 11 3/4 feet

= ( 13 x 11) + ( 13 x 3/4 ) + (3/5 x 11 ) + ( 3/5 x 3/4)

= 143 + 9 3/4 + 6 3/5 + 9/20

=158 + 15/20 + 12/20 + 9/20

= 159 16/20

= 159 4/5 square feet

= 36 + 36/4

= 45 square feet

= 34 + 17/2

= 34 + 8 1/2

= 42 1/2 square feet

159 4/5 + 45 + 42 1/2

= 247 3/10 square feet

So, 621 9/16 – 247 3/10

= 384 21/80

Therefore, 384 21/80 square feet of carpeting is needed.

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Question 1. Find the area of the following rectangles. Draw an area model if it helps you. a. km × km b. 16 m × 4 m c. 4 yd × 5 yd d. mi × 4 mi Answer: a. 5/4 x 12/5 = 60/20 = 3 Therefore, 3 square kilometres b. 16 1/2 x 4 1/5 = (16 x 4) + ( 16 x 1/5) + ( 4 x 1/2) x ( 1/2 x 1/5 ) = 64 + 16/5 + 2 + 1/10 = 66 33/10 = 66 3/10

Question 1. Are the following expressions greater than or less than 1? Circle the correct answer. a. 12 + 27 greater than 1 less than 1 b. 58 + 35 greater than 1 less than 1 c. 1 14 - 13 greater than 1 less than 1 d. 3 5 8 - 2 5 9 greater than1 less than 1 Answer: Explanation : a. 12 + 2 7 = Lcm of 2 and 7 are 14 . 7 14 + 4 14 = 11 14 b. 58 + 35

June 27, 2022 / By Prasanna Do you feel difficulty in helping your child to finish the homework? If yes then we will help you out to solve your problem. This page will help your elementary school child to develop the math skills which is needed to succeed in the classroom.

Engage NY Eureka Math 5th Grade Module 1 Lesson 13 Answer Key Eureka Math Grade 5 Module 1 Lesson 13 Sprint Answer Key A Subtract Decimals Question 1. 5 - 1 = Answer:- 4 Question 2. 5.9 - 1 = Answer:- 4.9 Question 3. 5.93 - 1 = Answer:- 4.93 Question 4. 5.932 - 1 = Answer:- 4.932 Question 5. 5.932 - 2 = Answer:- 3.932 Question 6. 5.932 - 4 =

EngageNY/Eureka Math Grade 5 Module 5 Lesson 13For more videos, please visit http://bit.ly/eurekapusdPLEASE leave a message if a video has a technical diffic...

Engage NY // Eureka Math Grade 5 Module 1 Lesson 13 Homework. Engage NY // Eureka Math Grade 5 Module 1 Lesson 13 Homework.

Question 1. Use your right angle template and straightedge to draw at least three sets of parallel lines in the space below. Answer: Explanation : Parallel lines are drawn from the given points and is shown in above figure . Parallel lines means two lines in the same plane that are at equal distance from each other and never meet.

Question 1. Solve. The first one is done for you. a. Convert weeks to days. 8 weeks = 8 × (1 week) = 8 × (7 days) = 56 days Answer: 8 weeks = 56 days. Explanation: In the above-given question, given that, 8 weeks = 8 x (1 week). 8 x (7 days). 1 week = 7 days. 8 x 7 = 56. 8 weeks = 56 days. b. Convert years to days.

Engage NY Eureka Math 5th Grade Module 4 Lesson 13 Answer Key Eureka Math Grade 5 Module 4 Lesson 13 Problem Set Answer Key. Solve. Draw a rectangular fraction model to show your thinking. Then, write a multiplication sentence. The first one has been done for you. a. Half of \(\frac{1}{4}\) pan of brownies = \(\frac{1}{4}\) pan of brownies.

Eureka Math Grade 5 Module 1 Lesson 13 - YouTube 0:00 / 7:35 Eureka Math Grade 5 Module 1 Lesson 13 Duane Habecker 125K subscribers Subscribe Share 164K views 7 years ago Eureka Math...

EngageNY/Eureka Math Grade 5 Module 2 Lesson 13For more Eureka Math (EngageNY) videos and other resources, please visit http://EMBARC.onlinePLEASE leave a me...

MATEEMATICS aJFRCtJLUM Date 1. œmplete the æntences with the correcž number of unitsand complete the equation. a 3 of b. 6 groups of c 5 groups of tenths is 1.5 hundredths is 0.24 thousandths is 0.045 0.24+6 = 0.045+5= q 2. œmplete the number sentence.

Created Date: 1/27/2014 10:52:06 AM

Eureka Math Grade 5 Module 5 Lesson 13 Answer Key. Eureka Math Grade 5 Module 5 Lesson 13 Homework Answer Key Question 1. Find the area of the following rectangles. Draw an area model if it helps you. a. cm × cm b. ft × 3 ft c. 5 in × 4 in d. m × 6 m Answer: a. 8/3 cm x 24/4 cm = 8/3 x 24/4 = 16 Therefore, 16 square centimetres b. 32/5 feet ...

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Engage NY // Eureka Math Grade 5 Module 5 Lesson 13 Homework. Engage NY // Eureka Math Grade 5 Module 5 Lesson 13 Homework.

Engage NY Eureka Math 5th Grade Module 5 Lesson 13 Answer Key Eureka Math Grade 5 Module 5 Lesson 13 Problem Set Answer Key. Question 1. Find the area of the following rectangles. Draw an area model if it helps you. a. \(\frac{5}{4}\) km × \(\frac{12}{5}\) km b. 16\(\frac{1}{2}\) m × 4\(\frac{1}{5}\) m c. 4\(\frac{1}{3}\) yd × 5\(\frac{2}{3 ...