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

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

Question 1.

Draw a tape diagram to solve. Express your answer as a fraction. Show the multiplication sentence to check your answer. The first one is done for you.

a. 1 ÷ 3 = \(\frac{1}{3}\)

b. 2 ÷ 3 =

Answer:

2/3

Explanation:

c. 7 ÷ 5 =

Answer:

1 2/5

Explanation:

d. 14 ÷ 5 =

Answer:

2 4/5

Explanation:

Question 2.

Fill in the chart. The first one is done for you.

Answer:

Question 3.

Greg spent $4 on 5 packs of sport cards.

a. How much did Greg spend on each pack?

Answer:

Greg spent $80 on each pack.

Explanation:

5 units = $4

1 unit = $4 ÷ 5 = 4/5

4/5 of $1= $80

b. If Greg spent half as much money and bought twice as many packs of cards, how much did he spend on each pack? Explain your thinking.

Answer:

He spent $20 dollars on each pack.

Explanation:

10 units = $2

1 unit = 2 ÷ 10 = 2/10 = 1/5

1/5 of $1 = $20. Hence he spent $20 on each pack.

Question 4.

Five pounds of birdseed is used to fill 4 identical bird feeders.

a. What fraction of the birdseed will be needed to fill each feeder?

Answer:

1/4

Explanation:

There are 4 identical bird feeders, so 1/4 of the birdseed would be needed to fill each feeder.

b. How many pounds of birdseed are used to fill each feeder? Draw a tape diagram to show your thinking.

Answer:

1 1/4

4 units = 5lb

1 unit = 5lb ÷ 4

= 5/4

= 1 1/4

Explanation:

1 1/4 lb of birdseed is used to fill each feeder.

c. How many ounces of birdseed are used to fill three bird feeders?

Answer:

1 lb = 16 oz

1 1/4 = x

= 1 1/4 * 16 oz

= 16 oz + 4 oz

= 20 oz

1 unit = 20ounces

3 units = 3*20 = 60 ounces

Explanation:

60 ounces of birdseed are used to fill three birdfeeders.

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

Matthew and his 3 siblings are weeding a flower bed with an area of 9 square yards. If they share the job equally, how many square yards of the flower bed will each child need to weed? Use a tape diagram to show your thinking.

Answer:

Each child will need to weed =2 1/4 square yards

Explanation:

Matthew and his 3 siblings are weeding a flower bed with an area of 9 square yards.

Matthew and his 3 siblings = 1 + 3 = 4

The Total area given is = 9 square yards.

Hence, Each child will need to weed = 9/4 square yards

= 2 1/4 square yards

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

Question 1.

Draw a tape diagram to solve. Express your answer as a fraction. Show the addition sentence to support your answer. The first one is done for you.

a. 1 ÷ 4 = \(\frac{1}{4}\)

b. 4 ÷ 5 =

Answer:

c. 8 ÷ 5 =

Answer:

8/5 = 1 3/8

Explanation:

d. 14 ÷ 3 =

Answer:

2 4/5

Explanation:

Question 2.

Fill in the chart. The first one is done for you.

Answer:

Question 3.

Jackie cut a 2-yard spool into 5 equal lengths of ribbon.

a. What is the length of each ribbon in yards? Draw a tape diagram to show your thinking.

Answer:

2/5 yard

Explanation:

2 ÷ 5 = 2/5 yards

b. What is the length of each ribbon in feet? Draw a tape diagram to show your thinking.

Answer:

1 1/5 ft

Explanation:

1 yd * 0.4 / 3ft * 0.4 = 2/5 yard / ? feet

3 * 2/5 = 6/5 = 1 1/5

Question 4.

Baa Baa, the black sheep, had 7 pounds of wool. If he separated the wool equally into 3 bags, how much wool would be in 2 bags?

Answer:

4 2/3 pounds

Explanation:

2 bags = 2 1/3 + 2 1/3

= 4 2/3 pounds

Question 5.

An adult sweater is made from 2 pounds of wool. This is 3 times as much wool as it takes to make a baby sweater. How much wool does it take to make a baby sweater? Use a tape diagram to solve.

Answer:

2 lbs

Explanation: