## 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. 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?
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. 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?

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 ÷ $$\frac{1}{3}$$

The number of slices will she have altogether is 6 slices.

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

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

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?

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

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?

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 ÷ $$\frac{1}{5}$$

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?

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 ÷ $$\frac{1}{2}$$

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?

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

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?

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. 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?

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. 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?

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 ÷ $$\frac{1}{4}$$

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?

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

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?

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

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?

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 ÷ $$\frac{1}{10}$$
The number of toffies in each bag is $$\frac{1}{30}$$.
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?
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 $$\frac{1}{30}$$.