# Eureka Math Grade 4 Module 5 Lesson 6 Answer Key

Refer to our Eureka 4th Grade Module 5 Lesson 6 Answer Key Solve the problems. You can understand the concepts in-depth with the help of the Eureka Math Book Answers 4th Grade solution Key. We provide the step by step explanations for all the questions by using the figures. You can easily understand the concepts in-depth with the help of the Eureka Math Answer Grade 4th Module 5 Lesson.

## Engage NY Eureka Math 4th Grade Module 5 Lesson 6 Answer Key

Students who feel difficulty in solving the problems can quickly understand the concepts with the help of our Eureka Math Book 4th Grade Module 5 Lesson 6 Answer key. In order to excel in the exam, we suggest the students of 4th standards refer to the Eureka Math Book 4th Grade Module 5 Lesson 6 Answer Key.

### Eureka Math Grade 4 Module 5 Lesson 6 Sprint Answer Key

A
Multiply Whole Numbers Times Fractions 1/3 + 1/3 = 0.66, 2 x 1/3 = 0.66, 1/4 + 1/4 + 1/4 = 0.75, 3 x 1/4 = 0.75, 1/5 + 1/5 = 0.4, 2 x 1/5 = 0.4, 1/5 + 1/5 + 1/5 = 0.6, 3 x 1/5 = 0.6 , 1/5 + 1/5 + 1/5 + 1/5 = 0.8, 4 x 1/5 = 0.8, 1/10 + 1/10 + 1/10 + 1/10 = 0.4, 3 x 1/10 = 0.3, 1/8 + 1/8 + 1/8 = 0.375, 3 x 1/8 = 0.375, 1/2 + 1/2 = 1, 1/3 + 1/3 + 1/3 = 0.99, 3 x 1/3 = 0.99, 1/4 + 1/4 + 1/4 + 1/4 = 1, 4 x 1/4 = 1, 1/2 + 1/2 + 1/2 = 1.5, 3 x 1/2 = 1.5.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/3 + 1/3 = 0.66, 2 x 1/3 = 0.66, 1/4 + 1/4 + 1/4 = 0.75, 3 x 1/4 = 0.75, 1/5 + 1/5 = 0.4, 2 x 1/5 = 0.4, 1/5 + 1/5 + 1/5 = 0.6, 3 x 1/5 = 0.6 , 1/5 + 1/5 + 1/5 + 1/5 = 0.8, 4 x 1/5 = 0.8, 1/10 + 1/10 + 1/10 + 1/10 = 0.4, 3 x 1/10 = 0.3, 1/8 + 1/8 + 1/8 = 0.375, 3 x 1/8 = 0.375, 1/2 + 1/2 = 1, 1/3 + 1/3 + 1/3 = 0.99, 3 x 1/3 = 0.99, 1/4 + 1/4 + 1/4 + 1/4 = 1, 4 x 1/4 = 1, 1/2 + 1/2 + 1/2 = 1.5, 3 x 1/2 = 1.5.  1/3 + 1/3 + 1/3 + 1/3 = 4/3, 4 x 1/3 = 4/3, 5/6 = 5 x 1/6, 5/6 = 5 x 1/6, 5/8 = 5 x 1/8, 5/8 = 5 x 1/8, 7/8 = 7 x 1/8, 7/10 = 7 x 1/10, 6/6 = 6 x 1/6, 1 = 6 x 1/6, 8 /8 = 8 x 1/8, 1 = 8 x 1/8, 9 x 1/10 = 9/10, 7 x 1/5 = 7/5, 1 = 3 x 1/3, 7 x 1/12 = 7/12, 1 = 5 x 1/5, 3/5 = 1/5 + 1/5 + 1/5, 3 x 1/4 = 3/4, 1 = 1/1 + 1/1 + 1/1.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/3 + 1/3 + 1/3 + 1/3 = 4/3, 4 x 1/3 = 4/3, 5/6 = 5 x 1/6, 5/6 = 5 x 1/6, 5/8 = 5 x 1/8, 5/8 = 5 x 1/8, 7/8 = 7 x 1/8, 7/10 = 7 x 1/10, 6/6 = 6 x 1/6, 1 = 6 x 1/6, 8 /8 = 8 x 1/8, 1 = 8 x 1/8, 9 x 1/10 = 9/10, 7 x 1/5 = 7/5, 1 = 3 x 1/3, 7 x 1/12 = 7/12, 1 = 5 x 1/5, 3/5 = 1/5 + 1/5 + 1/5, 3 x 1/4 = 3/4, 1 = 1/1 + 1/1 + 1/1. Question 1.
$$\frac{1}{3}+\frac{1}{3}=$$

1/3 + 1/3 =

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/3 = 0.33.
1/3 + 1/3.
0.33 + 0.33.
0.66.

Question 2.
2 × $$\frac{1}{3}$$ = 0.66

2 x 1/3 = 0.66

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/3 = 0.33.
2 x 0.33
0.66.

Question 3.
$$\frac{1}{4}+\frac{1}{4}+\frac{1}{4}=$$

1/4 + 1/4 + 1/4 = 0.75.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/4 = 0.25.
1/4 + 1/4 + 1/4.
0.25 + 0.25 + 0.25.
0.75.

Question 4.
3 × $$\frac{1}{4}$$

3 x 1/4 = 0.5.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/4 = 0.25.
2 x 1/4.
2 x 0.25
0.5.

Question 5.
$$\frac{1}{5}+\frac{1}{5}$$ = 0.4

1/5 + 1/5 = 0.4

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/5 = 0.2.
1/5 + 1/5.
0.2 + 0.2.
0.4.

Question 6.
2 × $$\frac{1}{5}$$

2 x 1/5 = 0.4

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/5 = 0.2.
2 x 1/5.
2 x 0.2.
0.5.

Question 7.
$$\frac{1}{5}+\frac{1}{5}+\frac{1}{5}$$ = 0.6

1/5 + 1/5 + 1/5 = 0.6

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/5 = 0.2.
1/5 + 1/5 + 1/5.
0.2 + 0.2 + 0.2.
0.2 + 0.2 + 0.2.
0.6

Question 8.
3 × $$\frac{1}{5}$$ = 0.6

3 x 1/5 = 0.6

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/5 = 0.2.
3 x 1/5.
3 x 0.2.
0.6.

Question 9.
$$\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}$$ = 0.8

1/5 + 1/5 + 1/5 + 1/5 = 0.8.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/5 = 0.2.
1/5 + 1/5 + 1/5 + 1/5.
0.2 + 0.2 + 0.2 + 0.2.
0.8.

Question 10.
4 × $$\frac{1}{5}$$ = 0.8

4 x 1/5 = 0.8

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/5 = 0.2.
4 x 1/5.
4 x 0.2.
0.8.

Question 11.
$$\frac{1}{10}+\frac{1}{10}+\frac{1}{10}$$ = 0.3

1/10 + 1/10 + 1/10 = 0.3

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/10 = 0.1.
1/10 + 1/10 + 1/10.
0.1 + 0.1 + 0.1.
0.3.

Question 12.
3 × $$\frac{1}{10}$$

3 x 1/10 = 0.3

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/10 = 0.1.
3 x 1/10.
3 x 0.1.
0.3.

Question 13.
$$\frac{1}{8}+\frac{1}{8}+\frac{1}{8}$$ = 0.375

1/8 + 1/8 + 1/8 = .375

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/8 = 0.125.
1/8 + 1/8 + 1/8.
0.125 + 0.125 + 0.125.
0.375.

Question 14.
3 × $$\frac{1}{8}$$

3 x 1/8 = 0.375

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/8 = 0.125.
3 x 1/3.
0.33 + 0.125.
0.375.

Question 15.
$$\frac{1}{2}+\frac{1}{2}$$ = 1

1/2 + 1/2 = 1

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/2 = 0.5.
1/2 + 1/2.
0.5 + 0.5.
1.

Question 16.
2 × $$\frac{1}{2}$$ = 1.

2 x 1/2 = 1.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/2 = 0.5.
2 x 1/2.
2 x 0.5.
1.

Question 17.
$$\frac{1}{3}+\frac{1}{3}+\frac{1}{3}$$ = 0.99

1/3 + 1/3 + 1/3 = 0.99

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/3 = 0.33.
1/3 + 1/3 + 1/3.
0.33 + 0.33 + 0.33.
0.99.

Question 18.
3 × $$\frac{1}{3}$$ =

3 x 1/3 =  0.99

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/3 = 0.33.
3 x 1/3.
3 x 0.33.
0.99.

Question 19.
$$\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}$$ = 1.

1/4 + 1/4 + 1/4 + 1/4 = 1

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/4 = 0.25.
1/4 + 1/4 + 1/4 + 1/4.
0.25 + 0.25 + 0.25 + 0.25.
1.

Question 20.
4 × $$\frac{1}{4}$$ =

4 x 1/4 =

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/4 = 0.25.
4 x 1/4.
4 x 0.25.
1.

Question 21.
$$\frac{1}{2}+\frac{1}{2}+\frac{1}{2}$$ = 1.5

1/2 + 1/2 + 1/2 = 1.5

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/2 = 0.5.
1/2 + 1/2 + 1/2.
0.5 + 0.5 + 0.5.
1.5.

Question 22.
3 × $$\frac{1}{2}$$ = 1.5

3 x 1/2 = 1.5

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/2 = 0.5.
3 x 1/2.
3 x 0.5.
1.5.

Question 23.
$$\frac{1}{3}+\frac{1}{3}+\frac{1}{3}+\frac{1}{3}$$ = 1.32

1/3 + 1/3 + 1/3 + 1/3 = 1.32

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/3 = 0.33.
1/3 + 1/3 + 1/3 + 1/3.
0.33 + 0.33 + 0.33 + 0.33.
1.32.

Question 24.
4 × $$\frac{1}{3}$$ = 1.32

4 x 1/3 = 1.32

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/3 = 0.33.
4 x 1/3.
4 x 0.33.
1.32.

Question 25.
$$\frac{5}{6}$$ = _5_ × $$\frac{1}{6}$$

5 /6 = 0.8.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
5/6 = 0.83.
1/6 = 0.16.
5 x 0.16 = 0.8

Question 26.
$$\frac{5}{6}$$ = 5 × _1/6_

5/6 = 5 x 1/6.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
5/6 = 0.83.
5 x 1/6.
5 x  0.16.
0.83.

Question 27.
$$\frac{5}{8}$$ = 5 × _1/8_

5/8 = 5 x 1/8

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
5/8 = 5 x 1/8.
5/8 = 0.625.
5 x 1/8.
1/8 = 0.125.
0.625

Question 28.
$$\frac{5}{8}$$ = _5_ × $$\frac{1}{8}$$

5/8 = 5 x 1/8

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
5/8 = 5 x 1/8.
5/8 = 0.625.
5 x 1/8.
1/8 = 0.125.
0.625

Question 29.
$$\frac{7}{8}$$ = 7 × _1/8_

7/8 = 7 x 1/8

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
7/8 = 7 x 1/8.
7/8 = 0.875.
8 x 1/8.
1/8 = 0.125.
0.875

Question 30.
$$\frac{7}{10}$$ = 7 × _1/10_

7/10 = 7 x 1/10.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
7/10 = 7 x 1/10.
7/10 = 0.7.
7 x 1/10.
1/10 = 0.1.
0.7

Question 31.
$$\frac{7}{8}$$ = _7_ × $$\frac{1}{8}$$

7/10 = 7 x 1/10.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
7/10 = 7 x 1/10.
7/10 = 0.7.
7 x 1/10.
1/10 = 0.1.
0.7

Question 32.
$$\frac{7}{10}$$ = _7_ × $$\frac{1}{10}$$

7/10 = 7 x 1/10.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
7/10 = 7 x 1/10.
7/10 = 0.7.
7 x 1/10.
1/10 = 0.1.
0.7

Question 33.
$$\frac{6}{6}$$ = 6 × _1/6_

6/6 = 6 x 1/6.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
6/6 = 6 x 1/6.
6/6 = 1.
6 x 1/6.
1/6 = 0.6.
6 x 1/6.

Question 34.
1 = 6 × _1/6_

1 = 6 x 1/6.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1 = 6 x 1/6.
6/6 = 1.
6 x 1/6.
1/6 = 0.6.
6 x 1/6.

Question 35.
$$\frac{8}{8}$$ = _8_ × $$\frac{1}{8}$$

8/8 = 8 x 1/8.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
8/8 = 8 x 1/8.
8/8 = 1.
8 x 1/8.
1/8 = 0.125.

Question 36.
1 = _8_ × $$\frac{1}{8}$$ = _8_ × $$\frac{1}{8}$$

1 = 8 x 1/8.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1 = 8 x 1/6.
8/8 = 1.
8 x 1/8.
1/8 = 0.125.
8 x 1/8 = 1.

Question 37.
9 × $$\frac{1}{10}$$ = 0.9

9 x 1/10 = 0.9

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/10 = 0.1.
9 x 1/10.
9 x 0.1.
0.9.

Question 38.
7 × $$\frac{1}{5}$$ = 1.4

7 x 1/5 = 1.4

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/5 = 0.2.
7 x 1/5.
7 x  0.2.
1.4.

Question 39.
1 = 3 × _1/3_

3 x 1/3 = 1

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/3 = 0.33.
3 x 1/3.
3 x 0.33.
0.99.

Question 40.
7 × $$\frac{1}{12}$$ = 0.56

7 x 1/12 = 0.56

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/12 = 0.83.
7 x 1/12.
7 x 0.08.
0.56.

Question 41.
1 = _5_ × $$\frac{1}{5}$$

5 x 1/5 = 1

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/5 = 0.2.
5 x 1/5.
5 x 0.2.
1.

Question 42.
$$\frac{3}{5}$$ = $$\frac{1}{5}$$ + $$\frac{1}{5}$$ + –

3/5 = 1/5 + 1/5 + 1/5.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
3/5 = 0.6.
1/5 = 0.2.
1/5 + 1/5 + 1/5.
0.2 + 0.2 + 0.2.
0.6.

Question 43.
3 × $$\frac{1}{4}$$ = – + $$\frac{1}{4}$$ + $$\frac{1}{4}$$

3 x 1/4 = 1/4 + 1/4 + 1/4.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/4 = 0.25.
3 x 1/4 = 0.75.
1/4 + 1/4 + 1/4.
0.75.

Question 44.
1 = – + – + –

5 x 1/5 = 1

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/5 = 0.2.
5 x 1/5.
1.

B
Multiply Whole Numbers Times Fractions 1/5 + 1/5 = 0.4, 2 x 1/5 = 0.4 , 1/3 + 1/3 = 0.66, 2 x 1/3 = 0.66, 1/4 + 1/4 + 1/4 = 0.75,  3 x 1/4 = 0.75, 1/5 + 1/5 + 1/5 = 0.6 , 4 x 1/5 = 0.6, 1/8 + 1/8 + 1/8 = 0.375 , 3 x 1/8 = 0.375, 1/10 + 1/10 + 1/10 = 0.3, 3 x 1/10 = 0.3, 1/3 + 1/3 + 1/3 = 0.99, 3 x 1/3 = 0.99, 1/4 + 1/4 + 1/4 + 1/4 = 1, 4 x 1/4 = 1, 1/2 + 1/2 = 1, 2 x 1/2 = 1, 1/3 + 1/3 + 1/3 + 1/3 = 1.32, 4 x 1/3 = 1.32.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/5 + 1/5 = 0.4, 2 x 1/5 = 0.4 , 1/3 + 1/3 = 0.66, 2 x 1/3 = 0.66, 1/4 + 1/4 + 1/4 = 0.75,  3 x 1/4 = 0.75, 1/5 + 1/5 + 1/5 = 0.6 , 4 x 1/5 = 0.6, 1/8 + 1/8 + 1/8 = 0.375 , 3 x 1/8 = 0.375, 1/10 + 1/10 + 1/10 = 0.3, 3 x 1/10 = 0.3, 1/3 + 1/3 + 1/3 = 0.99, 3 x 1/3 = 0.99, 1/4 + 1/4 + 1/4 + 1/4 = 1, 4 x 1/4 = 1, 1/2 + 1/2 = 1, 2 x 1/2 = 1, 1/3 + 1/3 + 1/3 + 1/3 = 1.32, 4 x 1/3 = 1.32.  1/2 + 1/2 + 1/2 = 1.5, 3 x 1/2 = 1.5, 5/6 = 5 x 1/6, 5/6 = 5 x 1/6, 5/8 = 5 x 1/8, 5/8 = 5 x 1/8, 7/8 = 7 x 1/8, 7/10 = 7 x 1/10, 7/8 = 7 x 1/8, 7/10 = 7 x 1/10, 8/8 = 8 x 1, 1 = 8 x 1/1, 6/6 = 6 x 1/6, 1 = 6 x 1/6, 5 x 1/12 = 0.41, 6 x 1/5  = 6/5, 1 = 4 x 1/4, 9 x 1/10 = 9/10, 1 = 3 x 1/3, 3/4 = 1/4 + 1/4 + 1/4, 3 x 1/5 = 1/5 + 1/5 + 1/5, 1 = 1/1 + 1/1 + 1/1 + 1/1.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/2 + 1/2 + 1/2 = 1.5, 3 x 1/2 = 1.5, 5/6 = 5 x 1/6, 5/6 = 5 x 1/6, 5/8 = 5 x 1/8, 5/8 = 5 x 1/8, 7/8 = 7 x 1/8, 7/10 = 7 x 1/10, 7/8 = 7 x 1/8, 7/10 = 7 x 1/10, 8/8 = 8 x 1, 1 = 8 x 1/1, 6/6 = 6 x 1/6, 1 = 6 x 1/6, 5 x 1/12 = 0.41, 6 x 1/5  = 6/5, 1 = 4 x 1/4, 9 x 1/10 = 9/10, 1 = 3 x 1/3, 3/4 = 1/4 + 1/4, 3 x 1/5 = 1/5 + 1/5 + 1/5, 1 = 1/1 + 1/1 + 1/1 + 1/1. Question 1.
$$\frac{1}{5}+\frac{1}{5}$$ = 1.5.

2/5 = 1/5 + 1/5.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
2/5 = 0.4.
1/5 = 0.2.
1/5 + 1/5.
0.2 + 0.2.
0.4.

Question 2.
2 × $$\frac{1}{5}$$ =

2/5 = 2 x 1/5.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
3/5 = 0.6.
1/5 = 0.2.
1/5 + 1/5 + 1/5.
0.2 + 0.2 + 0.2.
0.6.

Question 3.
$$\frac{1}{3}+\frac{1}{3}$$ = 0.6.

2/3 = 1/3 + 1/3.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
2/3 = 0.6.
1/3 = 0.33.
1/3 + 1/3.
0.33 + 0.33.
0.6.

Question 4.
2 × $$\frac{1}{3}$$ = 0.6.

2/3 = 2 x 1/3.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
2/3 = 0.6.
1/3 = 0.33.
1/3 x 2.
0.33 x 2.
0.6.

Question 5.
$$\frac{1}{4}+\frac{1}{4}+\frac{1}{4}$$ =

3/4 = 1/4 + 1/4 + 1/4.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
3/4 = 0.75.
1/4 = 0.25.
1/4 + 1/4 + 1/4.
0.25 + 0.25 + 0.25.
0.75.

Question 6.
3 × $$\frac{1}{4}$$ = 0.75.

3/4 = 3 x 1/4.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
3/5 = 0.75.
1/4 = 0.25.
3 x 1/4.
3 x 0.25.
0.75.

Question 7.
$$\frac{1}{5}+\frac{1}{5}+\frac{1}{5}$$ = 0.6.

3/5 = 1/5 + 1/5 + 1/5.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
3/5 = 0.6.
1/5 = 0.2.
1/5 + 1/5 + 1/5.
0.2 + 0.2 + 0.2.
0.6.

Question 8.
3 × $$\frac{1}{5}$$ = 0.6.

3/5 = 3 x 1/5.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
3/5 = 0.6.
1/5 = 0.2.
3 x 1/5.
3 x 0.2.
0.6.

Question 9.
$$\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}$$ = 0.8

4/5 = 1/5 + 1/5 + 1/5 + 1/5.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
4/5 = 0.8.
1/5 = 0.2.
1/5 + 1/5 + 1/5 +1/5.
0.2 + 0.2 + 0.2 + 0.2.
0.8.

Question 10.
4 × $$\frac{1}{5}$$ =

4/5 = 4 x 1/5.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
4/5 = 0.8.
1/5 = 0.2.
4 x 1/5.
4 x 0.2.
0.8.

Question 11.
$$\frac{1}{8}+\frac{1}{8}+\frac{1}{8}$$ =

3/8 = 1/8 + 1/8 + 1/8.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
3/8 = 0.375.
1/8 = 0.125.
1/8 + 1/8 + 1/8.
0.125 + 0.125 + 0.125.
0.375.

Question 12.
3 × $$\frac{1}{8}$$ = 0.375

3/8 = 3 x 1/8.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
3/8 = 0.375.
1/8 = 0.125.
1/8 x 3.
3 x 0.125.
0.375.

Question 13.
$$\frac{1}{10}+\frac{1}{10}+\frac{1}{10}$$ = 0.3.

3/10 = 1/10 + 1/10 + 1/10.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
3/10 = 0.3.
1/10 = 0.1.
1/10 + 1/10 + 1/10.
0.1 + 0.1 + 0.1.
0.3.

Question 14.
3 × $$\frac{1}{10}$$ = 0.3.

3/10 = 3 x 1/10.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
3/10 = 0.3.
1/10 = 0.1.
1/10 + 1/10 + 1/10.
0.1 + 0.1 + 0.1.
0.3.

Question 15.
$$\frac{1}{3}+\frac{1}{3}+\frac{1}{3}$$ = 1.

3/3 = 1/3 + 1/3 + 1/3.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
3/3 = 1.
1/3 = 0.33.
1/3 + 1/3 + 1/3.
0.33 + 0.33 + 0.33.
099.

Question 16.
3 × $$\frac{1}{3}$$ =

3/3 = 3 x 1/3.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
3/3 = 1.
1/3 = 0.33.
3 x 1/3.
1.

Question 17.
$$\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}$$ = 1.

4/4 = 1/4 + 1/4 + 1/4 + 1/4.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
4/4 = 1.
1/4 = 0.25.
1/4 + 1/4 + 1/4 + 1/4.
0.25 + 0.25 + 0.25 + 0.25.
1.

Question 18.
4 × $$\frac{1}{4}$$ = 1.

4/4 = 4 x 1/4.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
4/4 = 1.
1/4 = 0.25.
1/4 x 4.
0.25 x 4.
1.

Question 19.
$$\frac{1}{2}+\frac{1}{2}$$ = 1.

2/2 = 1/2 + 1/2.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
2/2 = 1.
1/2 = 0.5.
1/2 + 1/2.
0.5 + 0.5.
1.

Question 20.
2 × $$\frac{1}{2}$$ = 1.

2/2 = 2 x 1/2.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
2/2 = 1.
1/2 = 0.5.
2 x 1/2.
2 + 0.5.
1.

Question 21.
$$\frac{1}{3}+\frac{1}{3}+\frac{1}{3}+\frac{1}{3}$$ = 1.3.

4/3 = 1/3 + 1/3 + 1/3 + 1/3.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
4/3 = 1.33.
1/3 = 0.33.
1/3 + 1/3 + 1/3 + 1/3.
0.33 + 0.33 + 0.33 + 0.33.
1.3.

Question 22.
4 × $$\frac{1}{3}$$ =

4/3 = 4 x 1/3.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
4/3 = 1.3.
1/3 = 0.33.
1/3 x 4.
4 x 0.33.
1.3.

Question 23.
$$\frac{1}{2}+\frac{1}{2}+\frac{1}{2}$$ = 1.5.

3/2 = 1/2 + 1/2 + 1/2.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
3/2 = 1.5.
1/2 = 0.5.
1/2 + 1/2 + 1/2.
0.5 + 0.5 + 0.5.
1.5.

Question 24.
3 × $$\frac{1}{2}$$ =

3/2 = 3 x 1/2.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
3/2 = 1.5.
1/2 = 0.5.
3 x 1/2.
3 x 0.5.
1.5.

Question 25.
$$\frac{5}{6}$$ = _5_ × $$\frac{1}{6}$$

5/6 = 5 x 1/6.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
5/6 = 0.83.
1/6 = 0.16.
5 x 1/6.
5 x 0.16.
0.83.

Question 26.
$$\frac{5}{6}$$ = 5 × _1/6._

5/6 = 5 x 1/6.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
5/6 = 0.83.
1/6 = 0.16.
5 x 1/6.
5 x 0.16.
0.83.

Question 27.
$$\frac{5}{8}$$ = 5 × _1/8_

5/8 = 5 x 1/8.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
5/8 = 0.625.
1/8 = 0.125.
5 x 1/8.
5 x 0.125.
0.625.

Question 28.
$$\frac{5}{8}$$ = _5_ × $$\frac{1}{8}$$

5/8 = 5 x 1/8.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
5/8 = 0.625.
1/8 = 0.125.
5 x 1/8.
5 x 0.125.
0.625.

Question 29.
$$\frac{7}{8}$$ = 7 × _1/8_

7/8 = 7 x 1/8.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
7/8 = 0.875.
1/8 = 0.125.
7 x 1/8.
7 x 0.125.
0.875.

Question 30.
$$\frac{7}{10}$$ = 7 × _1/10_

7/10 = 7 x 1/10.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
7/10 = 0.7.
1/10 = 0.1.
7 x 1/10.
7 x 0.1.
0.7.

Question 31.
$$\frac{7}{8}$$ = _7_ × $$\frac{1}{8}$$

7/8 = 7 x 1/8.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
7/8 = 0.875.
1/8 = 0.125.
7 x 1/8.
7 x 0.125.
0.875.

Question 32.
$$\frac{7}{10}$$ = _7_ × $$\frac{1}{10}$$

7/10 = 7 x 1/10.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
7/10 = 0.7.
1/10 = 0.1.
7 x 1/10.
7 x 0.1.
0.7.

Question 33.
$$\frac{8}{8}$$ = 8 × -1/8.

8/8 = 8 x 1/8.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
8/8 = 1.
1/8 = 0.125.
8 x 1/8.
8 x 0.125.
1.

Question 34.
1 = 8 × -1/8.

8/8 = 8 x 1/8.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
8/8 = 1.
1/8 = 0.125.
8 x 1/8.
8 x 0.125.
1.

Question 35.
$$\frac{6}{6}$$ = _6_ × $$\frac{1}{6}$$

6/6 = 6 x 1/6.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
6/6 = 1.
1/6 = 0.16.
6 x 1/6.
6 x 0.16.
1.

Question 36.
1 = _6_ × $$\frac{1}{6}$$ =

6/6 = 6 x 1/6.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
6/6 = 1.
1/6 = 0.16.
6 x 1/6.
6 x 0.16.
1.

Question 37.
5 × $$\frac{1}{12}$$ = 0.41.

5/12 = 5 x 1/12.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
5/12 = 0.41.
1/12 = 0.083.
5 x 1/12.
5 x 0.083.
0.41.

Question 38.
6 × $$\frac{1}{5}$$ = 1.2

6/5 = 6 x 1/5.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
6/5 = 1.2.
1/5 = 0.2.
6 x 1/5.
6 x 0.2.
1.2.

Question 39.
4 = 4 × _1/1_

4 = 4 x 1/1.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
4 = 4 x 1/1.
1/1 = 1.

Question 40.
9 × $$\frac{1}{10}$$ = 9/10.

9/10 = 9 x 1/10.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
9/10 = 0.9.
1/10 = 0.1.
9 x 1/10.
9 x 0.1.
0.9.

Question 41.
1 = 3__ × $$\frac{1}{3}$$ = 1.

1 = 3 x 1/3.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
1/3 x 3 = 1.
1/3 = 0.33.
3 x 1/3.
3 x 0.33.
1.

Question 42.
$$\frac{3}{4}$$ = $$\frac{1}{4}$$ + $$\frac{1}{4}$$ + -1/4

3/4 = 1/4 + 1/4 + 1/4.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
6/6 = 1.
1/6 = 0.16.
6 x 1/6.
6 x 0.16.
1.

Question 43.
3 × $$\frac{1}{5}$$ = – + $$\frac{1}{5}$$ + $$\frac{1}{5}$$

3/5 = 3 x 1/5.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
3/5 = 0.6.
1/5 = 0.2.
3 x 1/5.
3 x 0.2.
0.6.

Question 44.
1 = – + – + – + –

1 = 6 x 1/6.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.
6/6 = 1.
1/6 = 0.16.
6 x 1/6.
6 x 0.16.
1.

### Eureka Math Grade 4 Module 5 Lesson 6 Problem Set Answer Key

Question 1.
Each rectangle represents 1. Draw horizontal lines to decompose each rectangle into the fractional units as indicated. Use the model to give the shaded area as a sum and as a product of unit fractions. Use parentheses to show the relationship between the number sentences. The first one has been partially done for you.
a. Sixths 2/3 = 4/6.

Explanation:
In the above-given question,
given that,
2/3 + 2/3 = (1/6 + 1/6) + (1/6 + 1/6) = 4/6.
(1/6 + 1/6) + (1/6 + 1/6).
(2 x 1/6) + (2 x 1/6) = 4/6.
2/3 = 4 x 1/6 = 4/6. b. Tenths 2/5 = 4/10.

Explanation:
In the above-given question,
given that,
2/5 + 2/5 = (1/10 + 1/10) + (1/10 + 1/10) = 4/10.
(1/10 + 1/10) + (1/10 + 1/10).
(2 x 1/10) + (2 x 1/10) = 4/10.
2/5 = 4 x 1/10 = 4/10. c. Twelfths 3/4 = 6/12.

Explanation:
In the above-given question,
given that,
3/4 + 3/4 = (1/4 + 1/4 + 1/4) + (1/4 + 1/4 + 1/4) = 6/12.
(1/4 + 1/4 + 1/4) + (1/4 + 1/4 + 1/4).
(3 x 1/12) + (3 x 1/12) = 6/12.
3/4 = 6 x 1/12 = 6/12. Question 2.
Draw area models to show the decompositions represented by the number sentences below. Express each as a sum and product of unit fractions. Use parentheses to show the relationship between the number sentences.
a. $$\frac{3}{5}$$ = $$\frac{6}{10}$$

3/5 = 6/10.

Explanation:
In the above-given question,
given that,
3/5 + 3/5 = (1/10 + 1/10 + 1/10) + (1/10 + 1/10 + 1/10) = 6/10.
(1/10 + 1/10 + 1/10) + (1/10  + 1/10 + 1/10).
(3 x 1/10) + (3 x 1/10) = 6/10.
3/5 = 6 x 1/10 = 6/10. b. $$\frac{3}{4}$$ = $$\frac{6}{8}$$

3/4 = 6/8.

Explanation:
In the above-given question,
given that,
3/4 + 3/4 = (1/8 + 1/8 + 1/8) + (1/8 + 1/8 + 1/8) = 6/8.
(1/8 + 1/8 + 1/8) + (1/8 + 1/8 + 1/8).
(3 x 1/8) + (3 x 1/8) = 6/8.
3/4 = 6 x 1/8 = 6/8. Question 3.
Step 1: Draw an area model for a fraction with units of thirds, fourths, or fifths.
Step 2: Shade in more than one fractional unit.
Step 3: Partition the area model again to find an equivalent fraction.
Step 4: Write the equivalent fractions as a number sentence. (If you’ve written a number sentence like this one already on this Problem Set, start over.)

1/2 = 2/4.

Explanation:
In the above-given question,
given that,
1/2 + 1/2 = (1/2 + 1/2) + (1/2 + 1/2) = 2/4.
(1/2 + 1/2) + (1/2 + 1/2).
(1 x 1/2) + (1 x 1/2) = 2/4.
1/2 = 2 x 1/4 = 2/4. ### Eureka Math Grade 4 Module 5 Lesson 6 Exit Ticket Answer Key

Question 1.
The rectangle below represents 1. Draw horizontal lines to decompose the rectangle into eighths. Use the model to give the shaded area as a sum and as a product of unit fractions. Use parentheses to show the relationship between the number sentences. 3/4 = 6/8.

Explanation:
In the above-given question,
given that,
3/2 + 3/2 = (1/2 + 1/2 + 1/2) + (1/2 + 1/2 + 1/2) = 6/8.
(1/2 + 1/2 + 1/2) + (1/2 + 1/2 + 1/2).
(3 x 1/8) + (3 x 1/8) = 6/8.
3/4 = 6 x 1/8 = 6/8. Question 2.
Draw an area model to show the decomposition represented by the number sentence below.
$$\frac{4}{5}$$ = $$\frac{8}{10}$$

4/5 = 8/10.

Explanation:
In the above-given question,
given that,
4/5 + 4/5 = (1/5 + 1/5 + 1/5 + 1/5) + (1/5 +1/5 + 1/5 + 1/5) = 8/10.
(1/5 + 1/5  +1/5 + 1/5) + (1/5 + 1/5 + 1/5).
(2 x 1/5) + (2 x 1/5) = 8/10.
4/5 = 8 x 1/10 = 8/10. ### Eureka Math Grade 4 Module 5 Lesson 6 Homework Answer Key

Question 1.
Each rectangle represents 1. Draw horizontal lines to decompose each rectangle into the fractional units as indicated. Use the model to give the shaded area as a sum and as a product of unit fractions. Use parentheses to show the relationship between the number sentences. The first one has been partially done for you.
a. Tenths 2/5 = 4/10.

Explanation:
In the above-given question,
given that,
2/5 + 2/5 = (1/10 + 1/10) + (1/10 + 1/10) = 4/10.
(1/10 + 1/10) + (1/10 + 1/10).
(2 x 1/10) + (2 x 1/10) = 4/10.
2/5 = 4 x 1/10 = 4/10. b. Eighths 2/4 = 4/8.

Explanation:
In the above-given question,
given that,
2/4 + 2/4 = (1/8 + 1/8) + (1/8 + 1/8) = 4/8.
(1/8 + 1/8) + (1/8 + 1/8).
(2 x 1/8) + (2 x 1/8) = 4/8.
2/4 = 4 x 1/8 = 4/8. c. Fifteenths 4/5 = 12/15.

Explanation:
In the above-given question,
given that,
4/5 + 4/5 + 4/5 = (1/5 + 1/5 + 1/5 + 1/5) + (1/5 + 1/5 + 1/5 + 1/5) = 12/15.
(1/5 + 1/5 + 1/5 + 1/5) + (1/5 + 1/5 + 1/5 + 1/5).
(4 x 1/5) + (4 x 1/5) = 12/15.
4/5 = 12 x 1/15 = 12/15.

Question 2.
Draw area models to show the decompositions represented by the number sentences below. Express each as a sum and product of unit fractions. Use parentheses to show the relationship between the number sentences.
a. $$\frac{2}{3}$$ = $$\frac{4}{6}$$

2/3 = 4/6.

Explanation:
In the above-given question,
given that,
2/3 + 2/3 = (1/6 + 1/6) + (1/6 + 1/6) = 4/6.
(1/6 + 1/6) + (1/6 + 1/6).
(2 x 1/6) + (2 x 1/6) = 4/6.
2/3 = 4 x 1/6 = 4/6. b. $$\frac{4}{5}$$ = $$\frac{8}{10}$$

4/5 = 8/10.

Explanation:
In the above-given question,
given that,
4/5 + 4/5 = (1/5 + 1/5 + 1/5 + 1/5) + (1/5 +1/5 + 1/5 + 1/5) = 8/10.
(1/5 + 1/5  +1/5 + 1/5) + (1/5 + 1/5 + 1/5).
(2 x 1/5) + (2 x 1/5) = 8/10.
4/5 = 8 x 1/10 = 8/10. Question 3.
Step 1: Draw an area model for a fraction with units of thirds, fourths, or fifths.
Step 2: Shade in more than one fractional unit.
Step 3: Partition the area model again to find an equivalent fraction.
Step 4: Write the equivalent fractions as a number sentence. (If you have written a number sentence like this one already in this Homework, start over.) 