Engage NY Eureka Math 4th Grade Module 5 Lesson 39 Answer Key

A
Multiply Whole Numbers Times Fractions

1/3 + 1/3 = 2/3, 2 x 1/3 = 2/3, 1/4 + 1/4 + 1/4 = 3/4, 3 x 1/4 = 3/4, 1/5 + 1/5 = 2/5, 2 x 1/5 = 2/5, 1/5 + 1/5 + 1/5 = 3/5, 3 x 1/5 = 3/5, 1/5 + 1/5 + 1/5 + 1/5 = 4/5, 4 x 1/5 = 4/5, 1/10 + 1/10 + 1/10 = 3/10,  3 x 1/10 = 3/10, 1/8 + 1/8 + 1/8 = 3/8, 3 x 1/8 = 3/8, 1/2 + 1/2 = 2/2, 2 x 1/2 = 2/2, 1/3 + 1/3 + 1/3 = 3/3, 3 x 1/3 = 3/3, 1/4 + 1/4 + 1/4 + 1/4 = 4/4, 4 x 1/4 = 4/4, 1/2 + 1/2 + 1/2 = 3/2, 3 x 1/2 = 3/2, 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 x 1/8 = 7/8, 7/10 = 7 x 1/10, 7/8 = 7 x 1/8, 7/10 = 7 x 1/10, 6/6 = 6 x 1/6, 1 = 1 x 6/6, 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 = 1/4 + 1/4 + 1/4, 1 = 0/1 + 0/1 + 1/1.

Explanation:
In the above-given question,
given that,
multiply whole numbers times fractions.

Question 1.

$$\frac{1}{3}+\frac{1}{3}=$$

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

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

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

2 x 1/3 = 2/3.

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

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

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

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

Question 4.
3 × $$\frac{1}{4}$$

3 x 1/4 = 3/4.

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

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

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

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

Question 6.
2 × $$\frac{1}{5}$$ = 2/5.

2 x 1/5 = 2/5.

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

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

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

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

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

3 x 1/5 = 3/5.

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

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

1/5 + 1/5 + 1/5  + 1/5 = 4/5.

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

Question 10.
3 × $$\frac{1}{5}$$ = 3/5.

3 x 1/5 = 3/5.

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

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

1/8 + 1/8 + 1/8  + 1/8 = 4/8.

Explanation:
In the above-given question,
given that,
multiply whole numbers time fractions.
1/8 + 1/8 + 1/8 + 1/8.
1 + 1 + 1  + 1 = 4.
1/8 + 1/8 + 1/8 + 1/8 = 4/8.

Question 12.
3 × $$\frac{1}{8}$$

3 x 1/8 = 3/8.

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

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

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

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

Question 14.
3 × $$\frac{1}{8}$$ = 3/8.

3 x 1/8 = 3/8.

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

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

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

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

Question 16.
2 × $$\frac{1}{2}$$ = 2/2.

2 x 1/2 = 2/2.

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

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

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

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

Question 18.
3 × $$\frac{1}{3}$$ = 3/3.

3 x 1/3 = 3/3.

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

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

1/4 + 1/4 + 1/4  + 1/4 = 4/4.

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

Question 20.
4 × $$\frac{1}{4}$$ = 4/4.

4 x 1/4 = 4/4.

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

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

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

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

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

3 x 1/2 = 3/2.

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

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

1/3 + 1/3 + 1/3  + 1/3 = 4/3.

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

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

4 x 1/3 = 4/3.

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

Question 25.
$$\frac{5}{6}$$ =

5 x 1/6 = 5/6.

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

Question 26.
$$\frac{5}{6}$$ = 5 × __1/6__

5 x 1/6 = 5/6.

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

Question 27.
$$\frac{5}{8}$$ = 5 × __1/8__

5 x 1/8 = 5/8.

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

Question 28.
$$\frac{5}{8}$$ = _5__ × $$\frac{1}{8}$$

5 x 1/8 = 5/8.

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

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

7 x 1/8 = 7/8.

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

Question 30.
$$\frac{7}{10}$$ = 7 × __1/10___

7 x 1/10 = 7/10.

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

Question 31.
$$\frac{7}{8}$$ = __7___ × $$\frac{1}{8}$$

7 x 1/8 = 7/8.

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

Question 32.
$$\frac{7}{10}$$ = __7__ × $$\frac{1}{10}$$

7 x 1/10 = 7/10.

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

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

6 x 1/6 = 1.

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

Question 34.
1 = 6 × __6___

1 x 6 = 6.

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

Question 35.
$$\frac{8}{8}$$ = __8___ × $$\frac{1}{8}$$

8 x 1/8 = 1.

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

Question 36.
1 = __8__ × $$\frac{1}{8}$$

8 x 1/8 = 1.

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

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

9 x 1/10 = 9/10.

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

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

7 x 1/5 = 7/5.

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

Question 39.
1 = 3 × __3__

1 x 3 = 3.

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

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

7 x 1/12 = 7/12.

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

Question 41.
1 = _5___ × $$\frac{1}{5}$$

5 x 1/5 = 1.

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

Question 42.
$$\frac{3}{5}$$ = $$\frac{1}{5}$$ + $$\frac{1}{5}$$ + _1/5___

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

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

Question 43.
3 × $$\frac{1}{4}$$ = __1/4__ + $$\frac{1}{4}$$ + $$\frac{1}{4}$$

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

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

Question 44.
1 = _0/4__ + _0/4___ + __1___

0/4 + 0/4 + 1 = 1.

Explanation:
In the above-given question,
given that,
multiply whole numbers time fractions.
0/4 + 0/4 + 1.
0 + 0 + 1 = 1.
0/4 + 0/4 + 1 = 1.

B
Multiply Whole Numbers Times Fractions

1/5 + 1/5 = 2/5, 2 x 1/5 = 2/5, 1/3 + 1/3 = 2/3, 2 x 1/3 = 2/3, 1/4 + 1/4 + 1/4 = 3/4, 3 x 1/4 = 3/4, 1/5 + 1/5 + 1/5 = 3/5, 3 x 1/5 = 3/5, 1/5 + 1/5 + 1/5 + 1/5 = 4/5, 4 x 1/5 = 4/5, 1/8 + 1/8 + 1/8 = 3/8, 3 x 1/8 = 3/8, 1/10 + 1/10 + 1/10 = 3/10, 3 x 1/10 = 3/10, 1/3 + 1/3 + 1/3 = 3/3, 3 x 1/3 = 3/3, 1/4 + 1/4 + 1/4 + 1/4 = 4/3, 4 x 1/4 = 4/4, 1/2 + 1/2 = 2/2, 2 x 1/2 = 2/2, 1/3 + 1/3 + 1/3 + 1/3 = 4/3, 4 x 1/3 = 4/3, 1/2 + 1/2 + 1/2 = 3/2, 3 x 1/2 = 3/2, 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 1/8, 1 = 8/8, 6/6 = 6 x 1/6, 1 = 6 x 1/6, 5 x 1/12 = 5/12, 6 x 1/5 = 6/5, 1 = 3 x 1/3, 3/4 = 1/4 + 1/4 + 1/4, 3 x 1/5 = 3/5, 1 = 0/4 + 0/4 + 1.

Explanation:
In the above-given question,
given that,
multiply whole numbers time fractions.

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

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

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

Question 2.
2 × $$\frac{1}{5}$$ = 2/5.

2 x 1/5 = 2/5.

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

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

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

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

Question 4.
2 × $$\frac{1}{3}$$

2 x 1/3 = 2/3.

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

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

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

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

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

3 x 1/4 = 3/4.

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

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

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

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

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

3 x 1/5 = 3/5.

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

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

1/5 + 1/5 + 1/5  + 1/5 = 4/5.

Explanation:
In the above-given question,
given that,
multiply whole numbers time fractions.
1/5 + 1/5 + 1/5 + 1/5.
1 + 1 + 1  + 1 = 3.
1/5 + 1/5 + 1/5 + 1/5 = 4/5.

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

4 x 1/5 = 4/5.

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

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

1/8 + 1/8 + 1/8  = 3/8.

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

Question 12.
3 × $$\frac{1}{8}$$

3 x 1/8 = 3/8.

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

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

1/10 + 1/10 + 1/10  = 3/10.

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

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

3 x 1/10 = 3/10.

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

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

1/3 + 1/3 + 1/3  = 3/3.

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

Question 16.
3 × $$\frac{1}{3}$$ = 3/3.

3 x 1/3 = 3/3.

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

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

1/4 + 1/4 + 1/4 + 1/4  = 4/4.

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

Question 18.
4 × $$\frac{1}{4}$$ = 4/4.

4 x 1/4 = 4/4.

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

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

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

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

Question 20.
2 × $$\frac{1}{2}$$ = 2/2.

2 x 1/2 = 2/2.

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

Question 21.
$$\frac{1}{3}+\frac{1}{3}+\frac{1}{3}+\frac{1}{3}$$ = 4/3.

1/3 + 1/3 + 1/3 + 1/3  = 4/3.

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

Question 22.
4 × $$\frac{1}{3}$$ = 4/3.

4 x 1/3 = 4/3.

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

Question 23.
$$\frac{1}{2}+\frac{1}{2}+\frac{1}{2}$$ = 3/2.

1/2 + 1/2 + 1/2  = 3/2.

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

Question 24.
3 × $$\frac{1}{2}$$ = 3/2.

3 x 1/2 = 3/2.

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

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

5 x 1/6 = 5/6.

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

Question 26.
$$\frac{5}{6}$$ = 5 × 1/6

5 x 1/6 = 5/6.

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

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

5 x 1/8 = 5/8.

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

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

5 x 1/8 = 5/8.

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

Question 29.
$$\frac{7}{8}$$ = 7 × 1/8

7 x 1/8 = 7/8.

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

Question 30.
$$\frac{7}{10}$$ = 7 × 1/10

7 x 1/10 = 7/10.

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

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

7 x 1/8 = 7/8.

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

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

7 x 1/10 = 7/10.

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

Question 33.
$$\frac{8}{8}$$ = 8 × __1/8__

8 x 1/8 = 1

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

Question 34.
1 = 8 × __1/8___

8 x 1/8 = 1

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

Question 35.
$$\frac{6}{6}$$ = __6___ × $$\frac{1}{6}$$

6 x 1/6 = 1

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

Question 36.
1 = _6___ × $$\frac{1}{6}$$

6 x 1/6 = 1

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

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

5 x 1/12 = 5/12.

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

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

6 x 1/5 = 6/5.

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

Question 39.
1 = 4 × __1/4__

4 x 1/4 = 1

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

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

9 x 1/10 = 9/10.

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

Question 41.
1 = __3__ × $$\frac{1}{3}$$

3 x 1/3 = 1

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

Question 42.
$$\frac{3}{4}$$ = $$\frac{1}{4}$$ + $$\frac{1}{4}$$ + _1/4___

1/4 + 1/4 + 1/4  = 3/4.

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

Question 43.
3 × $$\frac{1}{5}$$ = __1/5__ + $$\frac{1}{5}$$ + $$\frac{1}{5}$$

1/5 + 1/5 + 1/5  = 3/5.

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

Question 44.
1 = _0/4__ + _0/4___ + _0/4___ + _1___

0/4 + 0/4 + 1  = 1.

Explanation:
In the above-given question,
given that,
multiply whole numbers time fractions.
0/4 + 0/4 + 1.
0 + 0  + 1 = 1.
0/4 + 0/4 + 1 = 1.

Eureka Math Grade 4 Module 5 Lesson 39 Problem Set Answer Key

Use the RDW process to solve.
Question 1.
Tameka ran 2$$\frac{5}{8}$$ miles. Her sister ran twice as far. How far did Tameka’s sister run?

The far did Tameka’s sister run = 4 miles.

Explanation:
In the above-given question,
given that,
Tameka ran 2$$\frac{5}{8}$$ miles.
Her sister ran twice as far.
2(5/8).
8 x 2/8.
16/8 + 16/8 = 4

Question 2.
Natasha’s sculpture was 5$$\frac{3}{16}$$ inches tall. Maya’s was 4 times as tall. How much shorter was Natasha’s sculpture than Maya’s?

The shorter was Natasha’s sculpture = 20.72 inches.

Explanation:
In the above-given question,
given that,
Natasha’s sculpture was 5$$\frac{3}{16}$$ inches tall.
Maya’s was 4 times as tall.
5 x 3/16.
5 + 3/16 = 80 + 3/16.
83/16.
5.18.
5.18 x 4 = 20.72 inches.

Question 3.
A seamstress needs 1$$\frac{5}{8}$$ yards of fabric to make a child’s dress. She needs 3 times as much fabric to make a woman’s dress. How many yards of fabric does she need for both dresses?

The number of yards of fabric does she need for both dresses = 52/8 yards.

Explanation:
In the above-given question,
given that,
A seamstress needs 1$$\frac{5}{8}$$ yards of fabric to make a child’s dress.
she needs 3 times as much fabric to make a woman’s dress.
1(5/8).
13/8.
13/8 + 39/8.
52/8.
so the number of yards of fabric she needs for both dresses = 52/8 yards.

Question 4.
A piece of blue yarn is 5$$\frac{2}{3}$$ yards long. A piece of pink yarn is 5 times as long as the blue yarn. Bailey tied them together with a knot that used $$\frac{1}{3}$$ yard from each piece of yarn. What is the total length of the yarn tied together?

The total length of the yarn tied together = 28 yards.

Explanation:
In the above-given question,
given that,
A piece of blue yarn is 5$$\frac{2}{3}$$ yards long.
A piece of pink yarn is 5 times as long as the blue yarn.
bailey tied them with a knot that used 1/3 yard from each piece of yarn.
5(2/3) = 17/3.
17/3 x 5 = 85/3.
85 – 1/3 = 84/3.
84/3 = 28 yards.

Question 5.
A truck driver drove 35$$\frac{2}{10}$$ miles before he stopped for breakfast. He then drove 5 times as far before he stopped for lunch. How far did he drive that day before his lunch break?

The far did he drive that day before his lunch break = 176 miles.

Explanation:
In the above-given question,
given that,
A truck driver drove 35$$\frac{2}{10}$$ miles before he stopped for breakfast.
He then drove 5 times as far before he stopped for lunch.
35(2/10) = 35 x 10 /10.
350 x 10 /10.
352/10 = 35.2.
35.2 x 5 = 176.

Question 6.
Mr. Washington’s motorcycle needs 5$$\frac{5}{10}$$ gallons of gas to fill the tank. His van needs 5 times as much gas to fill it. If Mr. Washington pays $3 per gallon for gas, how much will it cost him to fill both the motorcycle and the van? Answer: The much will it cost him to fill both the motorcycle and the van = 24.5 gallons. Explanation: In the above-given question, given that, Mr. Washington’s motorcycle needs 5$$\frac{5}{10}$$ gallons of gas to fill the tank. his van needs 5 times as much gas to fill it. Mr. Washington pays$3 per gallon for gas.
5(5/10) = 50 + 5/10.
55/10 = 5.5.
5.5 x 5 = 27.5.
27.5 – 3 = 24.5 galloons.

Eureka Math Grade 4 Module 5 Lesson 39 Exit Ticket Answer Key

Use the RDW process to solve.
Jeff has ten packages that he wants to mail. Nine identical packages weigh 2$$\frac{7}{8}$$ pounds each. A tenth package weighs two times as much as one of the other packages. How many pounds do all ten packages weigh?

The pounds do all the ten packages weigh = 23 pounds.

Explanation:
In the above-given question,
given that,
Jeff has ten packages that he wants to mail.
Nine identical package weigh 2$$\frac{7}{8}$$ pounds each.
a tenth package weighs two times as much as one of the other packages.
2(7/8) = 16 + 7/8.
23/8.
23/8 + 2 = 46/2.
46/2 = 23.

Use the RDW process to solve.
Question 1.
Ground turkey is sold in packages of 2$$\frac{1}{2}$$ pounds. Dawn bought eight times as much turkey that is sold in 1 package for her son’s birthday party. How many pounds of ground turkey did Dawn buy?

The pounds of ground turkey did Dawn buys = 4 pounds.

Explanation:
In the above-given question,
given that,
Ground turkey is sold in packages of 2(1/2) pounds.
Dawn bought eight times as much turkey that is sold in 1 package for her son’s birthday party.
2(1/2) = 4 + 1/2.
5/2.
1(1/2) = 2 + 1/2.
5/2 + 3/2 = 8/2.
8/2 = 4.

Question 2.
Trevor’s stack of books is 7$$\frac{7}{8}$$ inches tall. Rick’s stack is 3 times as tall. What is the difference in the heights of their stacks of books?

The difference in the heights of their stacks of books = 8.25 inches.

Explanation:
In the above-given question,
given that,
Trevor’s stack of books is 7(7/8) inches tall.
rick’s stack is 3 times as tall.
7(7/8) = 56 + 7/8.
63/8.
63/8 + 3 = 66/8.
66/8 = 8.25.

Question 3.
It takes 8$$\frac{3}{4}$$ yards of fabric to make one quilt. Gail needs three times as much fabric to make three quilts. She already has two yards of fabric. How many more yards of fabric does Gail need to buy in order to make three quilts?

The many more yards of fabric does Gail need to buy in order to make three quilts = 26.25 yards.

Explanation:
In the above-given question,
given that,
It takes 8(3/4) yards of fabric to make one quilt.
Gail needs three times as much fabric to make three quilts.
she already has two yards of fabric.
8(3/4) = 32 + 3/4.
35/4 x 3 = 105/4.
105/4 = 26.25.

Question 4.
Carol made punch. She used 13$$\frac{3}{8}$$ cups of juice and then added three times as much ginger ale. Then, she added 1 cup of lemonade. How many cups of punch did her recipe make?

The number of cups of punch did her recipe make = 13.5 cups.

Explanation:
In the above-given question,
given that,
she used 13(3/8) cups of juice and then added three times as much ginger ale.
13(3/8) = 104 + 3/8.
107/8 + 1 = 108/8.
108/8 = 13.5 cups.

Question 5.
Brandon drove 72$$\frac{7}{10}$$ miles on Monday. He drove 3 times as far on Tuesday. How far did he drive in the two days?

The far did he drive in the two days = 72.7 miles.

Explanation:
In the above-given question,
given that,
Brandon drove 72(7/10) miles on Monday.
he drove 3 times as far on Tuesday.
72(7/10) = 720 + 7/10.
727/10 = 2181/30.
72.7 miles.

Question 6.
Mrs. Reiser used 9$$\frac{8}{10}$$ gallons of gas this week. Mr. Reiser used five times as much gas as Mrs. Reiser used this week. If Mr. Reiser pays $3 for each gallon of gas, how much did Mr. Reiser pay for gas this week? Answer: Mr. Reiser pay for gas this week =$46.

Explanation:
In the above-given question,
given that,
Mrs. Reiser used 9(8/10) gallons of gas this week.
Mr. Reiser used five times as much gas as Mrs. Reiser used this week.
9(8/10) = 90 + 8/10.
98/10.
9.8 x 5 = 49.
49 – 3 = 46.