## Engage NY Eureka Math 6th Grade Module 2 Lesson 4 Answer Key

### Eureka Math Grade 6 Module 2 Lesson 4 Example Answer Key

Example 1.
Molly has 1$$\frac{3}{8}$$ cups of strawberries. She needs $$\frac{3}{8}$$ cup of strawberries to make one batch of muffins. How many batches can Molly make?

$$\frac{11}{8} \div \frac{3}{8}$$ = 11 eighths ÷ 3 eighths = $$\frac{11}{3}$$ = 3$$\frac{2}{3}$$
Molly can make 3$$\frac{2}{3}$$ batches of muffins.

Example 2.
Molly’s friend, Xavier, also has $$\frac{11}{8}$$ cups of strawberries. He needs $$\frac{3}{4}$$ cup of strawberries to make a batch of tarts. How many batches can he make? Draw a model to support your solution.

$$\frac{11}{8} \div \frac{6}{8}$$ = 11 eighths ÷ 6 eighths = $$\frac{11}{6}$$ = 1$$\frac{5}{6}$$
Xavier has enough to make 1 and $$\frac{5}{6}$$ batches.

Example 3.
Find the quotient: $$\frac{6}{8} \div \frac{2}{8}$$. Use a model to show your answer.

2 units = 6 eighths
1 unit = 6 eighths ÷ 2 = 3 eighths
8 units = 8 × 3 eIghths = 24 eighths = 3

Example 4.
Find the quotient: $$\frac{3}{4} \div \frac{2}{3}$$. Use a model to show your answer.

We could rewrite this problem to ask $$\frac{9}{12} \div \frac{8}{12}$$ = 9 twelfths ÷ 8 twelfths = $$\frac{9}{8}$$ = 1$$\frac{1}{8}$$.

### Eureka Math Grade 6 Module 2 Lesson 4 Exercise Answer Key

Find each quotient.

Exercise 1.
$$\frac{6}{2} \div \frac{3}{4}$$
We could rewrite this expression and solve as $$\frac{12}{4} \div \frac{3}{4}=\frac{12}{3}$$ = 4.

Exercise 2.
$$\frac{2}{3} \div \frac{2}{5}$$
We could rewrite this expression and solve as $$\frac{10}{15} \div \frac{6}{15}=\frac{10}{6}=1 \frac{4}{6}$$

Exercise 3.
$$\frac{7}{8} \div \frac{1}{2}$$
We could rewrite this as $$\frac{7}{8} \div \frac{4}{8}=\frac{7}{4}=1 \frac{3}{4}$$

Exercise 4.
$$\frac{3}{5} \div \frac{1}{4}$$
This can be rewritten as $$\frac{12}{20} \div \frac{5}{20}=\frac{12}{5}=2 \frac{2}{5}$$

Exercise 5.
$$\frac{5}{4} \div \frac{1}{3}$$
We can be written this as $$\frac{15}{12} \div \frac{4}{12}=\frac{15}{4}=3 \frac{3}{4}$$

### Eureka Math Grade 6 Module 2 Lesson 4 Problem Set Answer Key

Calculate the quotient. If needed, draw a model.

Question 1.
$$\frac{8}{9} \div \frac{4}{9}$$
8 ninths ÷ 4 ninths = 2

Question 2.
$$\frac{9}{10} \div \frac{4}{10}$$
9 tenths ÷ 4 tenths = 2$$\frac{1}{4}$$

Question 3.
$$\frac{3}{5} \div \frac{1}{3}$$
$$\frac{9}{15} \div \frac{5}{15}$$ = 9 fifteenths ÷ 5 fifteenths = $$\frac{9}{5}=1 \frac{4}{5}$$

Question 4.
$$\frac{3}{4} \div \frac{1}{5}$$
$$\frac{15}{20} \div \frac{4}{20}$$ = 15 twentieths ÷ 4 twentieths = $$\frac{15}{4}$$

### Eureka Math Grade 6 Module 2 Lesson 4 Exit Ticket Answer Key

Calculate each quotient. If needed, draw a model.

Question 1.
$$\frac{9}{4} \div \frac{3}{8}$$
This can be rewritten as $$\frac{18}{8} \div \frac{3}{8}$$ = 18 eighths divided by 3 eighths = $$\frac{18}{3}$$ = 6.

Question 2.
$$\frac{3}{5} \div \frac{2}{3}$$
This can be rewritten as $$\frac{9}{15} \div \frac{10}{15}$$ = 9fifteenths divided by 10 fifteenths, or 9 units ÷ 10 units. So, this is equal to $$\frac{9}{10}$$.

### Eureka Math Grade 6 Module 2 Lesson 4 Opening Exercise Answer Key

Write at least three equivalent fractions for each fraction below.

a. $$\frac{2}{3}$$
Sample solution include $$\frac{4}{6}, \frac{6}{9}, \frac{8}{12}, \frac{10}{15}, \frac{12}{18}$$
b. $$\frac{10}{12}$$
Sample solution include $$\frac{5}{6}, \frac{15}{18}, \frac{20}{24}, \frac{25}{30^{\prime}} \frac{30}{36}$$