## Engage NY Eureka Math 6th Grade Module 2 Lesson 2 Answer Key

### Eureka Math Grade 6 Module 2 Lesson 2 Example Answer Key

Example 1.
Question # _________
Write It as a division expression. ______________
Write It as a multiplication expression. ______________
Make a rough draft of a model to represent the problem:
As you travel to each model, be sure to answer the following questions:

Example 2.
Molly has 9 cups of flour. If this is $$\frac{3}{4}$$ of the amount she needs to make bread, how many cups does she need?
a. Construct the tape diagram by reading it backward. Draw a tape diagram and label the unknown.

b. Next, shade in $$\frac{3}{4}$$.

c. Label the shaded region to show that 9 is equal to $$\frac{3}{4}$$ of the total.

d. Analyze the model to determine the quotient.
3 units = 9
1 unit = 9 ÷ 3 = 3
4units = 4 × 3 = 12
Molly needs 12 cups of flour to make bread.

### Eureka Math Grade 6 Module 2 Lesson 2 Exercise Answer Key

Exercise 1.
A construction company is setting up signs on 2 miles of a road. If the company places a sign at every mile, how many signs will it use?
2 ÷ $$\frac{1}{4}$$ → Haw many $$\frac{1}{4}$$ in 2?

2 ÷ $$\frac{1}{4}$$ = 8 fourths ÷ 1 fourth = 8
There are 8 fourths in 2. The company will use 8 signs.

Exercise 2.
George bought 4 submarine sandwiches for a birthday party. If each person will eat $$\frac{2}{3}$$ of a sandwich, how many people can George feed?
4 ÷ $$\frac{2}{3}$$ → Haw many $$\frac{2}{3}$$ in 2?

4 ÷ $$\frac{2}{3}$$ = 12 thirds ÷ 2 thirds = 8
There are 6 two-thirds in 4. George can feed 6 people.

Exercise 3.
Miranda buys 6 pounds of nuts. If she puts $$\frac{3}{4}$$ pound In each bag, how many bags can she make?
6 ÷ $$\frac{3}{4}$$ → Haw many $$\frac{3}{4}$$ in 6?

6 ÷ $$\frac{3}{4}$$ = 24 fourths ÷ 3 fourths = 8
There are 8 three-fourths in 6. Miranda can make 8 bags.

Exercise 4.
Margo freezes 8 cups of strawberries. If this is $$\frac{2}{3}$$ of the total strawberries that she picked, how many cups of strawberries did Margo pick?
8 ÷ $$\frac{2}{3}$$ → 8 is $$\frac{2}{3}$$ group of what size?

2 units = 8
1 unit = 8 ÷ 2 = 4
3 units = 3 × 4 = 12
Margo picked 12 cups of strawberries.

Exercise 5.
Regina is chopping up wood. She has chopped 10 logs so far. If the 10 logs represent $$\frac{5}{8}$$ of all the logs that need to be chopped, how many logs need to be chopped in all?
10 ÷ $$\frac{5}{8}$$ → 10 is 6 ÷ $$\frac{5}{8}$$ group of what size?

5 units = 10
1 unit = 10 ÷ 5 = 2
B units = 8 × 2 = 16
Regina will chop 16 logs.

### Eureka Math Grade 6 Module 2 Lesson 2 Problem Set Answer Key

Question 1.
Nicole used $$\frac{3}{8}$$ of her ribbon to wrap a present. If she used 6 feet of ribbon for the present, how much ribbon did Nicole have at first?
6 ÷ $$\frac{3}{8}$$
6 is $$\frac{3}{8}$$ of what number?

3 units = 6
1 unit = 6 ÷ 3 = 2
8 units = 8 × 2 = 16
Nicole started with 16 feet of ribbon.

Question 2.
A Boy Scout has 3 meters of rope. He cuts the rope into cords $$\frac{3}{5}$$m long. How many cords will he make?
How many $$\frac{3}{5}$$ are in 3?

3 ÷ $$\frac{3}{5}$$ = 15 fifths ÷ 3 fifths = $$\frac{15}{3}$$ = 5
The Boy Scout can make 5 cords.

Question 3.
12 gallons of water fill a tank to $$\frac{3}{4}$$ capacity.
a. What is the capacity of the tank?
12 ÷ $$\frac{3}{4}$$
12 is $$\frac{3}{4}$$ of what number?

3units = 12
1 unit = 12 ÷ 3 = 4
4 units = 4 × 4 = 16
The tank’s capacity is 16 gallons.

b. If the tank is then filled to capacity, how many half-gallon bottles can be filled with the water in the tank?
How many $$\frac{1}{2}$$ are in 16?
16 ÷ $$\frac{1}{2}$$ = 32 halves ÷ 1 half = 32
32 bottles can be filled.

Question 4.
Hunter spent $$\frac{2}{3}$$ of his money on a video game before spending half of his remaining money on lunch. If his lunch costs $10, how much money did he have at first? Answer:$10 is $$\frac{1}{6}$$ of what number?
10 ÷ $$\frac{1}{6}$$

1 unit = $10 6 units = 6 ×$10 = $60 Hunter had$60 at first.

Question 5.
Students were surveyed about their favorite colors. $$\frac{1}{4}$$ of the students preferred red, $$\frac{1}{8}$$ of the students preferred blue, and of the remaining students preferred green. If 15 students preferred green, how many students were surveyed?
15 is $$\frac{3}{8}$$ of what number?
15 ÷ $$\frac{3}{8}$$

3 units = 15
1 unit = 15 ÷ 3 = 5
8 units = 8 × 5 = 40
40 students were surveyed.

Question 6.
Mr. Scruggs got some money for his birthday. He spent $$\frac{1}{5}$$ of it on dog treats. Then, he divided the remainder equally among his 3 favorite charities.
a. What fraction of his money did each charity receive?
$$\frac{4}{5} \div 3=\frac{1}{3} \times \frac{4}{5}=\frac{4}{15}$$ Each charity received $$\frac{4}{15}$$ of Mr. Scruggs’ birthday money.

b. If he donated $60 to each charity, how much money did he receive for his birthday? Answer: 60 is $$\frac{4}{15}$$ of what number? 60 ÷ $$\frac{4}{15}$$ 4 units =$60
1 unit = $60 ÷ 4 =$15
15 units = 15 × $15 =$225
Mr. Scruggs got \$225 for his birthday.

### Eureka Math Grade 6 Module 2 Lesson 2 Exit Ticket Answer Key

Solve each division problem using a model.

Question 1.
Henry bought 4 pies, which he plans to share with a group of his friends. If there Is exactly enough to give each member of the group one-sixth of the pie, how many people are In the group?
4 ÷ $$\frac{1}{6}$$ → How many $$\frac{1}{6}$$ in 4?

There are 6 sixths in 1, and 24 sixths in 4. Henry can share the pies with 24 people.

Question 2.
Rachel finished $$\frac{3}{4}$$ of the race in 6 hours. How long was the entire race?
6 ÷ $$\frac{3}{4}$$ → $$\frac{3}{4}$$ of what number is 6?