## Engage NY Eureka Math 5th Grade Module 4 Lesson 28 Answer Key

### Eureka Math Grade 5 Module 4 Lesson 28 Problem Set Answer Key

Question 1.

Create and solve a division story problem about 5 meters of rope that is modeled by the tape diagram below.

Answer:

The number of fourths altogether is 20.

Explanation:

Tom has 5 meters of rope. He cuts each meter equally into four parts. How many fourths will he have altogether?

Answer:

As Tom has 5 meters of rope and he cuts each meter equally into four parts, so the number of fourths altogether is

5 ÷ \(\frac{1}{4}\) = 20.

Question 2.

Create and solve a story problem about \(\frac{1}{4}\) pound of almonds that is modeled by the tape diagram below.

Answer:

The number of pounds of almonds is in each bag is \(\frac{1}{20}\) pounds.

Explanation:

Sam bought \(\frac{1}{4}\) pound of almonds. She shares the almonds equally into 5 bags. How many pounds of almonds are in each bag?

Answer:

Here, Sam bought \(\frac{1}{4}\) pound of almonds and she shares the almonds equally into 5 bags. So the number of pounds of almonds are in each bags is

\(\frac{1}{4}\) ÷ 5 which is \(\frac{1}{20}\) pounds in each bag.

Question 3.

Draw a tape diagram and create a word problem for the following expressions, and then solve.

a. 2 ÷ \(\frac{1}{3}\)

Answer:

The number of slices will she have altogether is6 slices.

Explanation:

Mike bought 2 pizzas. He wants to cut each pizza into thirds. How many slices will she have altogether?

Answer:

Here, Mike bought 2 pizzas and he wants to cut each pizza into thirds, so the number of slices will she have altogether is

2 ÷ \(\frac{1}{3}\) which is 6 slices.

b. \(\frac{1}{3}\) ÷ 4

Answer:

The number of kgs of flour will be in each container is which is \(\frac{1}{12}\) kg of flour.

Explanation:

Kite bought \(\frac{1}{3}\) kg of flour. He poured it equally into 4 containers. How many kg of flour will be in each container?

Answer:

Here, Kite bought \(\frac{1}{3}\) kg of flour and he poured it equally into 4 containers, so the number of kgs of flour will be in each container is \(\frac{1}{3}\) ÷ 4 which is \(\frac{1}{12}\) kg of flour.

c. \(\frac{1}{4}\) ÷ 3

Answer:

The number of pounds of sunflower seeds will she eat each day is \(\frac{1}{12}\).

Explanation:

Ricky bought \(\frac{1}{4}\) pound of sunflower seeds. She wants to share them divide them equally over 3 days as a snack. How many pounds of sunflower seeds will she eat each day?

Answer:

Here, Ricky bought \(\frac{1}{4}\) pound of sunflower seeds and she wants to share them divide them equally over 3 days as a snack, so the number of pounds of sunflower seeds will she eat each day is \(\frac{1}{4}\) ÷ 3 which is \(\frac{1}{12}\).

d. 3 ÷ \(\frac{1}{5}\)

Answer:

The many fifths will he have altogether is 15.

Explanation:

Sean bought 3m of ribbon. He cut each meter into fifths. How many fifths will he have altogether?

Answer:

Here, Sean bought 3m of ribbon and he cut each meter into fifths, so the many fifths will he have altogether is 3 ÷ \(\frac{1}{5}\) which is 15.

### Eureka Math Grade 5 Module 4 Lesson 28 Exit Ticket Answer Key

Create a word problem for the following expressions, and then solve.

a. 4 ÷ \(\frac{1}{2}\)

Answer:

Joe share the cake with his friends is 8

Explanation:

Joe has \(\frac{1}{2}\) of a cake and he has to share it with 4 of his friends. How does Joe share the cake with his friends?

Answer:

Here, Joe has \(\frac{1}{2}\) of a cake and he has to share it with 4 of his friends, so Joe share the cake with his friends is

\(\frac{1}{2}\) ÷ 4, on solving we will get the result as \(\frac{1}{8}\).

b. \(\frac{1}{2}\) ÷ 4

Answer:

Ana shares \(\frac{1}{8}\) part of pizza with his friends.

Explanation:

Ana has \(\frac{1}{2}\) of a pizza and she has to share it with 4 of his friends. How does Ana share the pizza with his friends?

Answer:

Here, Ana has \(\frac{1}{2}\) of a pizza and she has to share it with 4 of his friends, so Ana share the cake with his friends is

4 ÷ \(\frac{1}{2}\) on solving we will get the result as \(\frac{1}{8}\).

### Eureka Math Grade 5 Module 4 Lesson 28 Homework Answer Key

Question 1.

Create and solve a division story problem about 7 feet of rope that is modeled by the tape diagram below.

Answer:

The number of sevens altogether is 14.

Explanation:

Sian has 7 feet of rope. He cuts each meter equally into seven parts. How many sevens will he have altogether?

Answer:

As Sain has 7 feet of rope and he cuts each meter equally into seven parts, so the number of sevens altogether is

7 ÷ \(\frac{1}{2}\) = 14.

Question 2.

Create and solve a story problem about \(\frac{1}{3}\) pound of flour that is modeled by the tape diagram below.

Answer:

The number of pounds of flour is in each bag is \(\frac{1}{9}\) pounds.

Explanation:

Tim bought \(\frac{1}{3}\) pound of flour. She shares the flour equally into 3 bags. How many pounds of flour is in each bag?

Answer:

Here, Tim bought \(\frac{1}{3}\) pound of flour and she shares the flour equally into 3 bags. So the number of pounds of flour are in each bags is

\(\frac{1}{3}\) ÷ 3 which is \(\frac{1}{9}\) pounds in each bag.

Question 3.

Draw a tape diagram and create a word problem for the following expressions. Then, solve and check.

a. 2 ÷ \(\frac{1}{4}\)

Answer:

The number of pounds of apples will she eat each day is \(\frac{1}{8}\).

Explanation:

Rache bought \(\frac{1}{4}\) pound of apples. She wants to share them divide them equally over 2 days as a snack. How many pounds of apples will she eat each day?

Answer:

Here, Rache bought \(\frac{1}{4}\) pound of apples and she wants to share them divide them equally over 2 days as a snack, so the number of pounds of apples will she eat each day is \(\frac{1}{4}\) ÷ 2 which is \(\frac{1}{8}\).

b. \(\frac{1}{4}\) ÷ 2

Answer:

The number of slices of cake will she eat each day is \(\frac{1}{8}\).

Explanation:

Monica bought \(\frac{1}{4}\) of cake. She wants to share them divide them equally over 2 days as a snack. How many pieces of cake will she eat each day?

Answer:

Here, Monica bought \(\frac{1}{4}\) of cake and she wants to share them divide them equally over 2 days as a snack, so the number of slices of cake will she eat each day is \(\frac{1}{4}\) ÷ 2 which is \(\frac{1}{8}\).

c. \(\frac{1}{3}\) ÷ 5

Answer:

The number of cookies in each bag is \(\frac{1}{15}\).

Explanation:

Park bought \(\frac{1}{3}\) of cookies. He wants to share them divide them equally over 5 bags. How many cookies will he have in each bag?

Answer:

Here, Park bought \(\frac{1}{3}\) of cookies and he wants to share them divide them equally over 5 bags, so the number of cookies in each bag is \(\frac{1}{3}\) ÷ 5 which is \(\frac{1}{15}\).

d. 3 ÷ \(\frac{1}{10}\)

Answer:

The number of toffies in each bag is \(\frac{1}{30}\).

Explanation:

Nancy bought \(\frac{1}{10}\) of toffies. She wants to share them divide them equally over 3 bags. How many toffies will she have in each bag?

Answer:

Here, Nancy bought \(\frac{1}{10}\) of toffies and she wants to share them divide them equally over 3 bags, so the number of cookies in each bag is \(\frac{1}{10}\) ÷ 3 which is \(\frac{1}{30}\).