## Engage NY Eureka Math 4th Grade Module 5 Lesson 21 Answer Key

### Eureka Math Grade 4 Module 5 Lesson 21 Sprint Answer Key

A
Subtract Fractions 2-1 = 1, 2/2 – 1/2 = 0.5,  1 – 1/2 = 0.5, 3 – 1 = 2, 3/3 – 1/3 = 0.67, 1- 1/3 = 0.67, 8-1 = 7, 1- 1/8 = 0.875, 1 – 1/8 = 0.875, 5 – 1 = 4, 5/5 – 1/5 = 0.8, 1 – 1/5 = 0.8, 1- 2/5 = 0.6, 1 – 4/5 = 0.2, 1 – 3/5 = 0.4, 1- 1/4 = 0.75, 1 – 3/4 = 0.25, 1 – 1/10 = 0.9, 1 – 9/10 = 0.1, 1- 3/10 = 0.7, 1 – 7/10 = 0.3, 4-2 = 2.

Explanation:
In the above-given question,
given that,
subtract fractions.
2-1 = 1, 2/2 – 1/2 = 0.5,  1 – 1/2 = 0.5, 3 – 1 = 2, 3/3 – 1/3 = 0.67, 1- 1/3 = 0.67, 8-1 = 7, 1- 1/8 = 0.875, 1 – 1/8 = 0.875, 5 – 1 = 4, 5/5 – 1/5 = 0.8, 1 – 1/5 = 0.8, 1- 2/5 = 0.6, 1 – 4/5 = 0.2, 1 – 3/5 = 0.4, 1- 1/4 = 0.75, 1 – 3/4 = 0.25, 1 – 1/10 = 0.9, 1 – 9/10 = 0.1, 1- 3/10 = 0.7, 1 – 7/10 = 0.3, 4-2 = 2.  4/3 – 2/3 = 0.7, 1(1/3) – 2/3 = 0.7, 1(2/3) – 1/3 = 1.33, 7 – 4 = 3, 7/5 – 4/5 = 0.6, 1(2/5) – 4/5 = 0.6, 1(4/5) – 2/5 = 1.4, 5 -3 = 2, 5/4 – 3/4 = 0.5, 1(1/4) – 3/4 = 0.5, 1(3/4) – 1/4 = 1.5, 1 – 3/8 = 0.625, 1 – 7/8 = 0.125, 1(7/8) – 3/8 = 1.5, 1(3/8) – 7/8 = 0.5, 1 – 1/6 = 0.83, 1 – 5/6 = 0.1, 1(5/6) – 1/6 = 1.66, 1(1/6) – 5/6 = 0.33, 1 – 5/12 = 0.58, 1(1/12) – 7/12 = 5, 1(4/15) – 13/15 = 5.

Explanation:
In the above-given question,
given that,
subtract fractions. Question 1.
2 – 1 = 1.

2 – 1 = 1.

Explanation:
In the above-given question,
given that,
subtract fractions.
2 – 1 = 1.

Question 2.
$$\frac{2}{2}$$ – $$\frac{1}{2}$$ = 1/2.

$$\frac{2}{2}$$ – $$\frac{1}{2}$$ = 1/2.

Explanation:
In the above-given question,
given that,
$$\frac{2}{2}$$ – $$\frac{1}{2}$$.
2/2 – 1/2.
1/2 = 0.5.

Question 3.
1 – $$\frac{1}{2}$$ = 0.5.

1 – $$\frac{1}{2}$$ = 0.5.

Explanation:
In the above-given question,
given that,
1 – $$\frac{1}{2}$$.
1 – 1/2.
1- 0.5.
0.5.

Question 4.
3 – 1 = 2.

3 – 1 = 2.

Explanation:
In the above-given question,
given that,
subtract fractions.
3 – 1 = 2.

Question 5.
$$\frac{3}{3}$$ – $$\frac{1}{3}$$ = 2/3.

$$\frac{3}{3}$$ – $$\frac{1}{3}$$ = 2/3.

Explanation:
In the above-given question,
given that,
$$\frac{3}{3}$$ – $$\frac{1}{3}$$.
3/3 – 1/3.
2/3 = 0.66.

Question 6.
1 – $$\frac{1}{3}$$ = 0.67.

1 – $$\frac{1}{3}$$ = 0.67.

Explanation:
In the above-given question,
given that,
1 – $$\frac{1}{3}$$.
1 – 1/3.
1- 0.33.
0.67.

Question 7.
8 – 1 = 7.

8 – 1 = 7.

Explanation:
In the above-given question,
given that,
subtract fractions.
8 – 1 = 7.

Question 8.
$$\frac{8}{8}$$ – $$\frac{1}{8}$$ = 0.875.

$$\frac{8}{8}$$ – $$\frac{1}{8}$$ = 0.875.

Explanation:
In the above-given question,
given that,
$$\frac{8}{8}$$ – $$\frac{1}{8}$$.
8/8 – 1/8.
7/8 = 0.875.

Question 9.
1 – $$\frac{1}{8}$$ = 0.125.

1 – $$\frac{1}{8}$$ = 0.125.

Explanation:
In the above-given question,
given that,
1 – $$\frac{1}{8}$$.
1 – 1/8.
1- 0.875.
0.125.

Question 10.
5 – 1 = 4.

5 – 1 = 4.

Explanation:
In the above-given question,
given that,
subtract fractions.
5 – 1 = 4.

Question 11.
$$\frac{5}{5}$$ – $$\frac{1}{5}$$ = 0.8.

$$\frac{5}{5}$$ – $$\frac{1}{5}$$ = 4/5.

Explanation:
In the above-given question,
given that,
$$\frac{5}{5}$$ – $$\frac{1}{5}$$.
5/5 – 1/5.
4/5 = 0.8.

Question 12.
1 – $$\frac{1}{5}$$ = 0.8.

1 – $$\frac{1}{5}$$ = 0.8.

Explanation:
In the above-given question,
given that,
1 – $$\frac{1}{5}$$.
1 – 1/5.
1- 0.2.
0.8.

Question 13.
1 – $$\frac{2}{5}$$ = 0.6.

1 – $$\frac{2}{5}$$ = 0.6.

Explanation:
In the above-given question,
given that,
1 – $$\frac{2}{5}$$.
1 – 2/5.
1- 0.4.
0.6.

Question 14.
1 – $$\frac{4}{5}$$ = 0.2.

1 – $$\frac{4}{5}$$ = 0.2.

Explanation:
In the above-given question,
given that,
1 – $$\frac{4}{5}$$.
1 – 4/5.
1- 0.8.
0.2.

Question 15.
1 – $$\frac{3}{5}$$ = 0.4.

1 – $$\frac{3}{5}$$ = 0.4.

Explanation:
In the above-given question,
given that,
1 – $$\frac{3}{5}$$.
1 – 3/5.
1- 0.6.
0.4.

Question 16.
1 – $$\frac{1}{4}$$ = 0.75.

1 – $$\frac{1}{4}$$ = 0.75.

Explanation:
In the above-given question,
given that,
1 – $$\frac{1}{4}$$.
1 – 1/4.
1- 0.25.
0.75.

Question 17.
1 – $$\frac{3}{4}$$ = 0.25.

1 – $$\frac{3}{4}$$ = 0.25.

Explanation:
In the above-given question,
given that,
1 – $$\frac{3}{4}$$.
1 – 3/4.
1- 0.75.
0.25.

Question 18.
1 – $$\frac{1}{10}$$ = 0.9.

1 – $$\frac{1}{10}$$ = 0.9.

Explanation:
In the above-given question,
given that,
1 – $$\frac{1}{10}$$.
1 – 1/10.
1- 0.1.
0.9.

Question 19.
1 – $$\frac{9}{10}$$ = 0.1

1 – $$\frac{9}{10}$$ = 0.1.

Explanation:
In the above-given question,
given that,
1 – $$\frac{9}{10}$$.
1 – 9/10.
1- 0.9.
0.1.

Question 20.
1 – $$\frac{3}{10}$$ = 0.7.

1 – $$\frac{3}{10}$$ = 0.7.

Explanation:
In the above-given question,
given that,
1 – $$\frac{3}{10}$$.
1 – 3/10.
1- 0.3.
0.7.

Question 21.
1 – $$\frac{7}{10}$$ = 0.3.

1 – $$\frac{7}{10}$$ = 0.3.

Explanation:
In the above-given question,
given that,
1 – $$\frac{7}{10}$$.
1 – 7/10.
1- 0.7.
0.3.

Question 22.
4 – 2 = 2.

4 – 2 = 2.

Explanation:
In the above-given question,
given that,
subtract fractions.
4 – 2 = 2.

Question 23.
$$\frac{4}{3}$$ – $$\frac{2}{3}$$ =2/3.

$$\frac{4}{3}$$ – $$\frac{2}{3}$$ = 2/3.

Explanation:
In the above-given question,
given that,
$$\frac{4}{3}$$ – $$\frac{2}{3}$$.
4/3 – 2/3.
2/3 = 0.66.

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

1$$\frac{1}{3}$$ – $$\frac{2}{3}$$ = 2/3.

Explanation:
In the above-given question,
given that,
1$$\frac{1}{3}$$ – $$\frac{2}{3}$$.
4/3 – 2/3.
2/3 = 0.66.

Question 25.
1$$\frac{2}{3}$$ – $$\frac{1}{3}$$ = 1.33.

1$$\frac{2}{3}$$ – $$\frac{1}{3}$$ = 4/3.

Explanation:
In the above-given question,
given that,
1$$\frac{2}{3}$$ – $$\frac{1}{3}$$.
5/3 – 1/3.
4/3 = 1.33.

Question 26.
7 – 4 = 3.

7 – 4 = 3.

Explanation:
In the above-given question,
given that,
subtract fractions.
7 – 4 = 3.

Question 27.
$$\frac{7}{5}$$ – $$\frac{4}{5}$$ = 0.6.

$$\frac{7}{5}$$ – $$\frac{4}{5}$$ = 3/5.

Explanation:
In the above-given question,
given that,
$$\frac{7}{5}$$ – $$\frac{4}{5}$$.
7/5 – 4/5.
3/5 = 0.6.

Question 28.
1$$\frac{2}{5}$$ – $$\frac{4}{5}$$ = 0.8.

1$$\frac{2}{5}$$ – $$\frac{4}{5}$$ = 4/5.

Explanation:
In the above-given question,
given that,
1$$\frac{2}{5}$$ – $$\frac{4}{5}$$.
1(2/5) – 4/5.
7/5 – 4/5.
4/5 = 0.8.

Question 29.
1$$\frac{4}{5}$$ – $$\frac{2}{5}$$ = 1.4.

1$$\frac{4}{5}$$ – $$\frac{2}{5}$$ = 7/5.

Explanation:
In the above-given question,
given that,
1$$\frac{4}{5}$$ – $$\frac{2}{5}$$.
1(4/5) – 2/5.
9/5 – 2/5.
7/5 = 1.4.

Question 30.
5 – 3 = 2.

7 – 4 = 3.

Explanation:
In the above-given question,
given that,
subtract fractions.
7 – 4 = 3.

Question 31.
$$\frac{5}{4}$$ – $$\frac{2}{4}$$ = 0.75.

$$\frac{5}{4}$$ – $$\frac{2}{4}$$ = 3/4.

Explanation:
In the above-given question,
given that,
$$\frac{5}{4}$$ – $$\frac{2}{4}$$.
5/4 – 2/4.
3/4 = 0.75.

Question 32.
1$$\frac{1}{4}$$ – $$\frac{3}{4}$$ = 2/4.

1$$\frac{1}{4}$$ – $$\frac{3}{4}$$ = 2/4.

Explanation:
In the above-given question,
given that,
1$$\frac{1}{4}$$ – $$\frac{3}{4}$$.
1(1/4) – 3/4.
5/4 – 3/4.
2/4 = 0.5.

Question 33.
1$$\frac{3}{4}$$ – $$\frac{1}{4}$$ = 1.5.

1$$\frac{3}{4}$$ – $$\frac{1}{4}$$ = 1/4.

Explanation:
In the above-given question,
given that,
1$$\frac{3}{4}$$ – $$\frac{1}{4}$$.
1(3/4) – 1/4.
7/4 – 1/4.
6/4 = 1.5.

Question 34.
1 – $$\frac{3}{8}$$ = 0.625.

1 – $$\frac{3}{8}$$ = 0.625.

Explanation:
In the above-given question,
given that,
1 – $$\frac{3}{8}$$.
1 – 3/8.
1- 0.375.
0.625.

Question 35.
1 – $$\frac{7}{8}$$ = 0.125.

1 – $$\frac{7}{8}$$ = 0.125.

Explanation:
In the above-given question,
given that,
1 – $$\frac{7}{8}$$.
1 – 7/8.
1- 0.875.
0.125.

Question 36.
1$$\frac{7}{8}$$ – $$\frac{3}{8}$$ = 1.5.

1$$\frac{7}{8}$$ – $$\frac{3}{8}$$ = 1.5.

Explanation:
In the above-given question,
given that,
1$$\frac{7}{8}$$ – $$\frac{3}{8}$$.
1(7/8) – 3/8.
15/8 – 3/8.
12/8 = 1.5.

Question 37.
1$$\frac{3}{8}$$ – $$\frac{7}{8}$$ = 0.5.

1$$\frac{3}{8}$$ – $$\frac{7}{8}$$ = 0.5.

Explanation:
In the above-given question,
given that,
1$$\frac{3}{8}$$ – $$\frac{7}{8}$$.
1(3/8) – 7/8.
11/8 – 7/8.
4/8 = 0.5.

Question 38.
1 – $$\frac{1}{6}$$ = 0.84.

1 – $$\frac{1}{6}$$ = 0.84.

Explanation:
In the above-given question,
given that,
1 – $$\frac{1}{6}$$.
1 – 1/6.
1- 0.16.
0.84.

Question 39.
1 – $$\frac{5}{6}$$ = 0.17.

1 – $$\frac{5}{6}$$ = 0.17.

Explanation:
In the above-given question,
given that,
1 – $$\frac{5}{6}$$.
1 – 5/6.
1- 0.83.
0.17.

Question 40.
1$$\frac{5}{6}$$ – $$\frac{1}{6}$$ = 10/6.

1$$\frac{5}{6}$$ – $$\frac{1}{6}$$ = 1.66.

Explanation:
In the above-given question,
given that,
1$$\frac{5}{6}$$ – $$\frac{1}{6}$$.
1(5/6) – 1/6.
11/6 – 1/6.
10/6 = 1.66.

Question 41.
1$$\frac{1}{6}$$ – $$\frac{5}{6}$$ = 0.33.

1$$\frac{1}{6}$$ – $$\frac{5}{6}$$ = 0.33.

Explanation:
In the above-given question,
given that,
1$$\frac{1}{6}$$ – $$\frac{5}{6}$$.
1(1/6) – 5/6.
7/6 – 5/6.
2/6 = 0.33.

Question 42.
1 – $$\frac{5}{12}$$ = 0.59.

1 – $$\frac{5}{12}$$ = 0.59.

Explanation:
In the above-given question,
given that,
1 – $$\frac{5}{12}$$.
1 – 5/12.
1- 0.41.
0.59.

Question 43.
1$$\frac{1}{12}$$ – $$\frac{7}{12}$$ = 0.5.

Explanation:
In the above-given question,
given that,
1$$\frac{1}{12}$$ – $$\frac{7}{12}$$.
1(1/12) – 7/12.
13/12 – 7/12.
6/12 = 0.5.

Question 44.
1$$\frac{4}{15}$$ – $$\frac{13}{15}$$ = 0.4.

Explanation:
In the above-given question,
given that,
1$$\frac{4}{15}$$ – $$\frac{13}{15}$$.
1(4/15) – 13/15.
19/15 – 13/15.
6/15 = 0.4.

B
Subtract Fractions 3 – 1 = 2, 3/2 – 1/2 = 1, 1 – 1/2 = 0.5, 2 – 1 = 1, 2/2 – 1/2 = 0.5, 1 – 1/2 = 0.5, 6 – 1 = 5, 6/6 – 1/6 = 0.84, 1 – 1/6 = 0.84, 10 – 1 = 9, 10/10 – 1/10 = 0.9, 1 – 1/10 = 0.9, 1 – 2/10 = 0.8, 1 – 4/10 = 0.6, 1 – 3/10 = 0.7, 1 – 1/5 = 0.8, 1 – 4/5 = 0.2, 1 – 1/8 = 0.875, 1 – 7/8 = 0.125, 1 – 3/8 = 0.625, 1 – 5/8 = 0.375, 5 – 3 = 2.

Explanation:
In the above-given question,
given that,
subtract fractions.
3 – 1 = 2, 3/2 – 1/2 = 1, 1 – 1/2 = 0.5, 2 – 1 = 1, 2/2 – 1/2 = 0.5, 1 – 1/2 = 0.5, 6 – 1 = 5, 6/6 – 1/6 = 0.84, 1 – 1/6 = 0.84, 10 – 1 = 9, 10/10 – 1/10 = 0.9, 1 – 1/10 = 0.9, 1 – 2/10 = 0.8, 1 – 4/10 = 0.6, 1 – 3/10 = 0.7, 1 – 1/5 = 0.8, 1 – 4/5 = 0.2, 1 – 1/8 = 0.875, 1 – 7/8 = 0.125, 1 – 3/8 = 0.625, 1 – 5/8 = 0.375, 5 – 3 = 2.  5/4 – 3/4 = 0.5, 1(1/4) – 3/4 = 0.5, 1(3/4) – 1/4 = 1.5, 8 – 4 = 4, 8/5 – 4/5 = 0.8, 1(3/5) – 4/5 = 0.8, 1(4/5) – 3/5 = 1.2, 7 – 5 = 2, 7/6 – 5/6 = 0.33, 1(1/6) – 5/6 = 0.33, 1(5/6) – 1/6 = 1.6, 1 – 5/8 = 0.375, 1 – 7/8 = 1 – 0.875 = 0.375, 1(7/8) – 5/8 = 1.25, 1 (5/8) – 7/8 = 1, 1 – 1/4 = 0.75, 1 – 3/4 = 0.25, 1(3/4) – 1/4 = 1.5, 1(1/6) – 3/4 = 0.41, 1 – 7/12 = 0.42, 1(1/12) – 5/12 = 8/12 = 0.66, 1 (7/15) – 11/15 = 0.6.

Explanation:
In the above-given question,
given that,
subtract fractions.
5/4 – 3/4 = 0.5, 1(1/4) – 3/4 = 0.5, 1(3/4) – 1/4 = 1.5, 8 – 4 = 4, 8/5 – 4/5 = 0.8, 1(3/5) – 4/5 = 0.8, 1(4/5) – 3/5 = 1.2, 7 – 5 = 2, 7/6 – 5/6 = 0.33, 1(1/6) – 5/6 = 0.33, 1(5/6) – 1/6 = 1.6, 1 – 5/8 = 0.375, 1 – 7/8 = 1 – 0.875 = 0.375, 1(7/8) – 5/8 = 1.25, 1 (5/8) – 7/8 = 1, 1 – 1/4 = 0.75, 1 – 3/4 = 0.25, 1(3/4) – 1/4 = 1.5, 1(1/6) – 3/4 = 0.41, 1 – 7/12 = 0.42, 1(1/12) – 5/12 = 8/12 = 0.66, 1 (7/15) – 11/15 = 0.6. Question 1.
3 – 1 = 2.

3 – 1 = 2.

Explanation:
In the above-given question,
given that,
subtract fractions.
3 – 1 = 2.

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

$$\frac{3}{3}$$ – $$\frac{1}{3}$$ = 2/3.

Explanation:
In the above-given question,
given that,
$$\frac{3}{3}$$ – $$\frac{1}{3}$$.
3/3 – 1/3.
2/3 = 0.66.

Question 3.
1 – $$\frac{1}{3}$$ = 0.67.

1 – $$\frac{1}{3}$$ = 0.67.

Explanation:
In the above-given question,
given that,
1 – $$\frac{1}{3}$$.
1 – 1/3.
1- 0.33.
0.67.

Question 4.
2 – 1 = 1.

7 – 4 = 3.

Explanation:
In the above-given question,
given that,
subtract fractions.
7 – 4 = 3.

Question 5.
$$\frac{2}{2}$$ – $$\frac{1}{2}$$ = 0.5.

$$\frac{2}{2}$$ – $$\frac{1}{2}$$ = 1/2.

Explanation:
In the above-given question,
given that,
$$\frac{2}{2}$$ – $$\frac{1}{2}$$.
1 – 1/2.
1 – 0.5.
0.5.

Question 6.
1 – $$\frac{1}{2}$$ = 0.5.

1 – $$\frac{1}{2}$$ = 0.5.

Explanation:
In the above-given question,
given that,
1 – $$\frac{1}{2}$$.
1 – 1/2.
1- 0.5.
0.5.

Question 7.
6 – 1 = 5.

6 – 1 = 5.

Explanation:
In the above-given question,
given that,
subtract fractions.
6 – 1 = 5.

Question 8.
$$\frac{6}{6}$$ – $$\frac{1}{6}$$ = 0.9.

$$\frac{6}{6}$$ – $$\frac{1}{6}$$ = 0.9.

Explanation:
In the above-given question,
given that,
$$\frac{6}{6}$$ – $$\frac{1}{6}$$.
1 – 1/6.
1 -0.1.
0.9.

Question 9.
1 – $$\frac{1}{6}$$ = 0.84.

1 – $$\frac{1}{6}$$ = 0.84.

Explanation:
In the above-given question,
given that,
1 – $$\frac{1}{6}$$.
1 – 1/6.
1- 0.1..
0.84.

Question 10.
10 – 1 = 9.

10 – 1 = 9.

Explanation:
In the above-given question,
given that,
subtract fractions.
10 – 1 = 9.

Question 11.
$$\frac{10}{10}$$ – $$\frac{1}{10}$$ = 0.9.

$$\frac{10}{10}$$ – $$\frac{1}{10}$$ = 0.9.

Explanation:
In the above-given question,
given that,
$$\frac{10}{10}$$ – $$\frac{1}{10}$$.
1 – 1/10.
1 -0.1.
0.9.

Question 12.
1 – $$\frac{1}{10}$$ = 0.9.

1 – $$\frac{1}{10}$$ = 0.9.

Explanation:
In the above-given question,
given that,
1 – $$\frac{1}{10}$$.
1 – 1/10.
1- 0.1.
0.9.

Question 13.
1 – $$\frac{2}{10}$$ = 0.8.

1 – $$\frac{2}{10}$$ = 0.8.

Explanation:
In the above-given question,
given that,
1 – $$\frac{2}{10}$$.
1 – 2/10.
1- 0.2.
0.8.

Question 14.
1 – $$\frac{4}{10}$$ = 0.9.

1 – $$\frac{1}{10}$$ = 0.9.

Explanation:
In the above-given question,
given that,
1 – $$\frac{1}{10}$$.
1 – 1/10.
1- 0.1.
0.9.

Question 15.
1 – $$\frac{3}{10}$$ = 0.7.

1 – $$\frac{3}{10}$$ = 0.7.

Explanation:
In the above-given question,
given that,
1 – $$\frac{3}{10}$$.
1 – 3/10.
1- 0.3.
0.7.

Question 16.
1 – $$\frac{1}{5}$$ = 0.8.

1 – $$\frac{1}{5}$$ = 0.8.

Explanation:
In the above-given question,
given that,
1 – $$\frac{1}{5}$$.
1 – 1/5.
1- 0.2.
0.8.

Question 17.
1 – $$\frac{4}{5}$$ = 0.2.

1 – $$\frac{4}{5}$$ = 0.2.

Explanation:
In the above-given question,
given that,
1 – $$\frac{4}{5}$$.
1 – 4/5.
1- 0.8.
0.2.

Question 18.
1 – $$\frac{1}{8}$$ = 0.875.

1 – $$\frac{1}{8}$$ = 0.875.

Explanation:
In the above-given question,
given that,
1 – $$\frac{1}{8}$$.
1 – 1/8.
1- 0.125.
0.875.

Question 19.
1 – $$\frac{7}{8}$$ = 0.125.

1 – $$\frac{7}{8}$$ = 0.125.

Explanation:
In the above-given question,
given that,
1 – $$\frac{7}{8}$$.
1 – 7/8.
1- 0.875.
0.125.

Question 20.
1 – $$\frac{3}{8}$$ = 0.625.

1 – $$\frac{3}{8}$$ = 0.625.

Explanation:
In the above-given question,
given that,
1 – $$\frac{3}{8}$$.
1 – 3/8.
1- 0.375.
0.625.

Question 21.
1 – $$\frac{5}{8}$$ = 0.375.

1 – $$\frac{5}{8}$$ = 0.375.

Explanation:
In the above-given question,
given that,
1 – $$\frac{5}{8}$$.
1 – 5/8.
1- 0.625.
0.375.

Question 22.
5 – 3 = 2.

5 – 3 = 2.

Explanation:
In the above-given question,
given that,
subtract fractions.
5 – 3 = 2.

Question 23.
$$\frac{5}{4}$$ – $$\frac{3}{4}$$ = 0.5.

$$\frac{5}{4}$$ – $$\frac{3}{4}$$ = 0.5.

Explanation:
In the above-given question,
given that,
$$\frac{5}{4}$$ – $$\frac{3}{4}$$.
5/4 – 3/4.
2/4 .
0.5.

Question 24.
1$$\frac{1}{4}$$ – $$\frac{3}{4}$$ = 0.5.

1$$\frac{1}{4}$$ – $$\frac{3}{4}$$ = 0.5.

Explanation:
In the above-given question,
given that,
1$$\frac{1}{4}$$ – $$\frac{3}{4}$$.
1(1/4) – 3/4.
5/4 – 3/4.
2/4 = 0.5.

Question 25.
1$$\frac{3}{4}$$ – $$\frac{1}{4}$$ = 1.5.

1$$\frac{3}{4}$$ – $$\frac{1}{4}$$ = 1.5.

Explanation:
In the above-given question,
given that,
1$$\frac{3}{4}$$ – $$\frac{1}{4}$$.
1(3/4) – 1/4.
7/4 – 1/4.
6/4 = 1.5.

Question 26.
8 – 4 = 4.

8 – 4 = 4.

Explanation:
In the above-given question,
given that,
subtract fractions.
8 – 4 = 4.

Question 27.
$$\frac{8}{5}$$ – $$\frac{4}{5}$$ = 0.8.

$$\frac{8}{5}$$ – $$\frac{4}{5}$$ = 0.8.

Explanation:
In the above-given question,
given that,
$$\frac{8}{5}$$ – $$\frac{4}{5}$$.
(8/5) – 4/5.
4/5 = 0.8.

Question 28.
1$$\frac{3}{5}$$ – $$\frac{4}{5}$$ = 0.8.

1$$\frac{3}{5}$$ – $$\frac{4}{5}$$ = 0.8.

Explanation:
In the above-given question,
given that,
1$$\frac{3}{5}$$ – $$\frac{4}{5}$$.
1(3/5) – 4/5.
8/5 – 4/5.
4/5 = 0.8.

Question 29.
1$$\frac{4}{5}$$ – $$\frac{3}{5}$$ = 1.2.

1$$\frac{4}{5}$$ – $$\frac{3}{5}$$ = 1.2.

Explanation:
In the above-given question,
given that,
1$$\frac{4}{5}$$ – $$\frac{3}{5}$$.
1(4/5) – 3/5.
9/5 – 3/5.
6/5 = 1.2.

Question 30.
7 – 5 = 2.

7 – 5 = 2.

Explanation:
In the above-given question,
given that,
subtract fractions.
7 – 5 = 2.

Question 31.
$$\frac{7}{6}$$ – $$\frac{5}{6}$$ = 0.33.

$$\frac{7}{6}$$ – $$\frac{5}{6}$$ = 0.33.

Explanation:
In the above-given question,
given that,
$$\frac{7}{6}$$ – $$\frac{5}{6}$$.
(7/6) – 5/6.
2/6 = 0.33.

Question 32.
1$$\frac{1}{6}$$ – $$\frac{5}{6}$$ = 0.33.

1$$\frac{1}{6}$$ – $$\frac{5}{6}$$ = 0.33.

Explanation:
In the above-given question,
given that,
1$$\frac{1}{6}$$ – $$\frac{5}{6}$$.
1(1/6) – 5/6.
7/6 – 5/6.
2/6 = 0.33.

Question 33.
1$$\frac{5}{6}$$ – $$\frac{1}{6}$$ = 1.66.

1$$\frac{5}{6}$$ – $$\frac{1}{6}$$ = 1.66.

Explanation:
In the above-given question,
given that,
1$$\frac{5}{6}$$ – $$\frac{1}{6}$$.
1(5/6) – 1/6.
11/6 – 1/6.
10/6 = 1.66.

Question 34.
1 – $$\frac{5}{8}$$ = 0.375.

1 – $$\frac{5}{8}$$ = 0.375.

Explanation:
In the above-given question,
given that,
1 – $$\frac{5}{8}$$.
1 – 5/8.
1- 0.625.
0.375.

Question 35.
1 – $$\frac{7}{8}$$ = 0.125.

1 – $$\frac{7}{8}$$ = 0.125.

Explanation:
In the above-given question,
given that,
1 – $$\frac{7}{8}$$.
1 – 7/8.
1- 0.875.
0.125.

Question 36.
1$$\frac{7}{8}$$ – $$\frac{5}{8}$$ = 1.25.

1$$\frac{7}{8}$$ – $$\frac{5}{8}$$ = 1.25.

Explanation:
In the above-given question,
given that,
1$$\frac{7}{8}$$ – $$\frac{5}{8}$$.
1(7/8) – 5/8.
15/8 – 5/8.
10/8 = 1.25.

Question 37.
1$$\frac{5}{8}$$ – $$\frac{7}{8}$$ = 1.

1$$\frac{5}{8}$$ – $$\frac{7}{8}$$ = 1.

Explanation:
In the above-given question,
given that,
1$$\frac{5}{8}$$ – $$\frac{7}{8}$$.
1(5/8) – 7/8.
13/8 – 7/8.
8/8 = 1.

Question 38.
1 – $$\frac{1}{4}$$ = 0.75.

1 – $$\frac{1}{4}$$ = 0.75.

Explanation:
In the above-given question,
given that,
1 – $$\frac{1}{4}$$.
1 – 1/4.
1- 0.25.
0.75.

Question 39.
1 – $$\frac{3}{4}$$ = 0.25.

1 – $$\frac{3}{4}$$ = 0.25.

Explanation:
In the above-given question,
given that,
1 – $$\frac{3}{4}$$.
1 – 3/4.
1- 0.75.
0.25.

Question 40.
1$$\frac{3}{4}$$ – $$\frac{1}{4}$$ = 1.5.

1$$\frac{3}{4}$$ – $$\frac{1}{4}$$ = 1.5.

Explanation:
In the above-given question,
given that,
1$$\frac{3}{4}$$ – $$\frac{1}{4}$$.
1(3/4) – 1/4.
7/4 – 1/4.
6/4 = 1.5.

Question 41.
1$$\frac{1}{4}$$ – $$\frac{3}{4}$$ = 0.5.

1$$\frac{1}{4}$$ – $$\frac{3}{4}$$ = 0.5.

Explanation:
In the above-given question,
given that,
1$$\frac{1}{4}$$ – $$\frac{3}{4}$$.
1(1/4) – 3/4.
5/4 – 3/4.
2/4 = 0.5.

Question 42.
1 – $$\frac{7}{12}$$ = 0.42.

1 – $$\frac{7}{12}$$ = 0.42.

Explanation:
In the above-given question,
given that,
1 – $$\frac{7}{12}$$.
1 – 7/12.
1- 0.58.
0.42.

Question 43.
1$$\frac{1}{12}$$ – $$\frac{5}{12}$$ = 0.66.

1$$\frac{1}{12}$$ – $$\frac{5}{12}$$ = 0.66.

Explanation:
In the above-given question,
given that,
1$$\frac{1}{12}$$ – $$\frac{5}{12}$$.
1(1/12) – 5/12.
13/12 – 5/12.
8/12 = 0.66.

Question 44.
1$$\frac{7}{15}$$ – $$\frac{11}{15}$$ = 0.73.

1$$\frac{7}{15}$$ – $$\frac{11}{15}$$ = 0.73.

Explanation:
In the above-given question,
given that,
1$$\frac{7}{15}$$ – $$\frac{11}{15}$$.
1(7/15) – 11/15.
22/15 – 11/15.
11/15 = 0.73.

### Eureka Math Grade 4 Module 5 Lesson 21 Problem Set Answer Key

Question 1.
Draw a tape diagram to represent each addend. Decompose one of the tape diagrams to make like units. Then, write a complete number sentence. Use a number bond to write each sum as a mixed number.

a. $$\frac{3}{4}$$ + $$\frac{1}{2}$$

$$\frac{3}{4}$$ + $$\frac{1}{2}$$ = 1 + 1/4.

Explanation:
In the above-given question,
given that,
$$\frac{3}{4}$$ + $$\frac{1}{2}$$.
3/4 + 1/2.
4/4 = 1.

b. $$\frac{2}{3}$$ + $$\frac{3}{6}$$

$$\frac{2}{3}$$ + $$\frac{3}{6}$$ = 1.

Explanation:
In the above-given question,
given that,
$$\frac{2}{3}$$ + $$\frac{3}{6}$$.
2/3 + 3/6.
3/3 = 1.

c. $$\frac{5}{6}$$ + $$\frac{1}{3}$$

$$\frac{5}{6}$$ + $$\frac{1}{3}$$ = 1.

Explanation:
In the above-given question,
given that,
$$\frac{5}{6}$$ + $$\frac{1}{3}$$.
5/6 + 1/3.
6/6 = 1.

d. $$\frac{4}{5}$$ + $$\frac{7}{10}$$

$$\frac{4}{5}$$ + $$\frac{7}{10}$$ = 1.

Explanation:
In the above-given question,
given that,
$$\frac{4}{5}$$ + $$\frac{7}{10}$$.
4/5 + 7/10.
11/10.

Question 2.
Draw a number line to model the addition. Then, write a complete number sentence. Use a number bond to write each sum as a mixed number.

a. $$\frac{1}{2}$$ + $$\frac{3}{4}$$

$$\frac{1}{2}$$ + $$\frac{3}{4}$$ = 1.

Explanation:
In the above-given question,
given that,
$$\frac{1}{2}$$ + $$\frac{3}{4}$$.
3/4 + 1/2.
4/4 = 1.

b. $$\frac{1}{2}$$ + $$\frac{6}{8}$$

$$\frac{1}{2}$$ + $$\frac{6}{8}$$ = 1.

Explanation:
In the above-given question,
given that,
$$\frac{1}{2}$$ + $$\frac{6}{8}$$.
6/8 + 1/2.
4/4 = 1.

c. $$\frac{7}{10}$$ + $$\frac{3}{5}$$

$$\frac{7}{10}$$ + $$\frac{3}{5}$$ = 1.

Explanation:
In the above-given question,
given that,
$$\frac{7}{10}$$ + $$\frac{3}{5}$$.
7/10 + 3/5.
10/10 = 1.

d. $$\frac{2}{3}$$ + $$\frac{5}{6}$$

$$\frac{2}{3}$$ + $$\frac{5}{6}$$ = 1 + 1/6.

Explanation:
In the above-given question,
given that,
$$\frac{2}{3}$$ + $$\frac{5}{6}$$.
2/3 + 5/6.
7/6 = 1 + 1/6.

Question 3.
Solve. Write the sum as a mixed number. Draw a model if needed.

a. $$\frac{3}{4}$$ + $$\frac{2}{8}$$

$$\frac{3}{4}$$ + $$\frac{2}{8}$$ = 1/4.

Explanation:
In the above-given question,
given that,
$$\frac{3}{4}$$ + $$\frac{2}{8}$$.
3/4 + 2/4.
1/4.

b. $$\frac{4}{6}$$ + $$\frac{1}{2}$$

$$\frac{4}{6}$$ + $$\frac{1}{2}$$ = 0.5.

Explanation:
In the above-given question,
given that,
$$\frac{4}{6}$$ + $$\frac{1}{2}$$.
4/6 + 1/2.
3/6 = 1/2.
1/2 = 0.5.

c. $$\frac{4}{6}$$ + $$\frac{2}{3}$$

$$\frac{4}{6}$$ + $$\frac{2}{3}$$ = 4/3.

Explanation:
In the above-given question,
given that,
$$\frac{4}{6}$$ + $$\frac{2}{3}$$.
4/6 + 2/3.
4/3.

d. $$\frac{8}{10}$$ + $$\frac{3}{5}$$

$$\frac{8}{10}$$ + $$\frac{3}{5}$$ = 7/5.

Explanation:
In the above-given question,
given that,
$$\frac{8}{10}$$ + $$\frac{3}{5}$$.
8/10 + 3/5.
8/10 = 4/5.
4/5 + 3/5.
7/5.

e. $$\frac{5}{8}$$ + $$\frac{3}{4}$$

$$\frac{5}{8}$$ + $$\frac{3}{4}$$ = 1.

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

f. $$\frac{5}{8}$$ + $$\frac{2}{4}$$

$$\frac{5}{8}$$ + $$\frac{2}{4}$$ = 7/4.

Explanation:
In the above-given question,
given that,
$$\frac{5}{8}$$ + $$\frac{2}{4}$$.
5/8 + 2/4.
7/4.

g. $$\frac{1}{2}$$ + $$\frac{5}{8}$$

$$\frac{1}{2}$$ + $$\frac{5}{8}$$ = 6/8.

Explanation:
In the above-given question,
given that,
$$\frac{1}{2}$$ + $$\frac{5}{8}$$.
5/8 + 1/2.
6/8.

h. $$\frac{3}{10}$$ + $$\frac{4}{5}$$

$$\frac{3}{10}$$ + $$\frac{4}{5}$$ = 7/10.

Explanation:
In the above-given question,
given that,
$$\frac{3}{10}$$ + $$\frac{4}{5}$$.
3/10 + 4/5.
7/10 = 0.7.

### Eureka Math Grade 4 Module 5 Lesson 21 Exit Ticket Answer Key

Solve. Write a complete number sentence. Use a number bond to write each sum as a mixed number.
Use a model if needed.

Question 1.
$$\frac{1}{4}$$ + $$\frac{7}{8}$$

$$\frac{1}{4}$$ + $$\frac{7}{8}$$ = 1.

Explanation:
In the above-given question,
given that,
$$\frac{1}{4}$$ + $$\frac{7}{8}$$.
1/4 + 7/8.
8/8 = 1.

Question 2.
$$\frac{2}{3}$$ + $$\frac{7}{12}$$

$$\frac{2}{3}$$ + $$\frac{7}{12}$$ = 3/4.

Explanation:
In the above-given question,
given that,
$$\frac{2}{3}$$ + $$\frac{7}{12}$$.
2/3 + 7/12.
9/12 = 3/4.

### Eureka Math Grade 4 Module 5 Lesson 21 Homework Answer Key

Question 1.
Draw a tape diagram to represent each addend. Decompose one of the tape diagrams to make like units. Then, write a complete number sentence. Use a number bond to write each sum as a mixed number.

a. $$\frac{7}{8}$$ + $$\frac{1}{4}$$

$$\frac{7}{8}$$ + $$\frac{1}{4}$$ = 1.

Explanation:
In the above-given question,
given that,
$$\frac{7}{8}$$ + $$\frac{1}{4}$$.
7/8 + 1/4.
8/8 = 1.

b. $$\frac{4}{8}$$ + $$\frac{2}{4}$$

$$\frac{4}{8}$$ + $$\frac{2}{4}$$ = 1.

Explanation:
In the above-given question,
given that,
$$\frac{4}{8}$$ + $$\frac{2}{4}$$.
4/8 + 2/4.
4/4 = 1.

c. $$\frac{4}{6}$$ + $$\frac{1}{2}$$

$$\frac{4}{6}$$ + $$\frac{1}{2}$$ = 1.

Explanation:
In the above-given question,
given that,
$$\frac{4}{6}$$ + $$\frac{1}{2}$$.
4/6 + 1/2.
3/6 = 1/2.
1/2 = 0.5.

d. $$\frac{3}{5}$$ + $$\frac{8}{10}$$

$$\frac{3}{5}$$ + $$\frac{8}{10}$$ = 7/5.

Explanation:
In the above-given question,
given that,
$$\frac{3}{5}$$ + $$\frac{8}{10}$$.
3/5 + 8/10.
7/5.

Question 2.
Draw a number line to model the addition. Then, write a complete number sentence. Use a number bond to write each sum as a mixed number.
a. $$\frac{1}{2}$$ + $$\frac{5}{8}$$

$$\frac{1}{2}$$ + $$\frac{5}{8}$$ = 3/4.

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

b. $$\frac{3}{4}$$ + $$\frac{3}{8}$$

$$\frac{3}{4}$$ + $$\frac{3}{4}$$ = 3/2.

Explanation:
In the above-given question,
given that,
$$\frac{3}{4}$$ + $$\frac{3}{4}$$.
3/4 + 3/4.
6/4 = 3/2.

c. $$\frac{4}{10}$$ + $$\frac{4}{5}$$

$$\frac{4}{10}$$ + $$\frac{4}{5}$$ = 6/5.

Explanation:
In the above-given question,
given that,
$$\frac{4}{10}$$ + $$\frac{4}{5}$$.
4/10 + 4/5.
6/5.

d. $$\frac{1}{3}$$ + $$\frac{5}{6}$$

$$\frac{1}{3}$$ + $$\frac{5}{6}$$ = 1.

Explanation:
In the above-given question,
given that,
$$\frac{1}{3}$$ + $$\frac{5}{6}$$.
5/6 + 1/3.
6/6 = 1.

Question 3.
Solve. Write the sum as a mixed number. Draw a model if needed.

a. $$\frac{1}{2}$$ + $$\frac{6}{8}$$

$$\frac{1}{2}$$ + $$\frac{6}{8}$$ = 1.

Explanation:
In the above-given question,
given that,
$$\frac{1}{2}$$ + $$\frac{6}{8}$$.
1/2 + 6/8.
4/4 = 1.

b. $$\frac{7}{8}$$ + $$\frac{3}{4}$$

$$\frac{7}{8}$$ + $$\frac{3}{4}$$ = 5/2.

Explanation:
In the above-given question,
given that,
$$\frac{7}{8}$$ + $$\frac{3}{4}$$.
3/4 + 7/8.
10/8 = 5/2.

c. $$\frac{5}{6}$$ + $$\frac{1}{3}$$

$$\frac{5}{6}$$ + $$\frac{1}{3}$$ = 1.

Explanation:
In the above-given question,
given that,
$$\frac{5}{6}$$ + $$\frac{1}{3}$$.
5/6 + 1/3.
6/6 = 1.

d. $$\frac{9}{10}$$ + $$\frac{2}{5}$$

$$\frac{9}{10}$$ + $$\frac{2}{5}$$ = 1.1.

Explanation:
In the above-given question,
given that,
$$\frac{9}{10}$$ + $$\frac{2}{5}$$.
9/10 + 2/5.
11/10 = 1.1.

e. $$\frac{4}{12}$$ + $$\frac{3}{4}$$

$$\frac{4}{12}$$ + $$\frac{3}{4}$$ = 1.

Explanation:
In the above-given question,
given that,
$$\frac{4}{12}$$ + $$\frac{3}{4}$$.
3/4 + 4/12.
4/4 = 1.

f. $$\frac{1}{2}$$ + $$\frac{5}{6}$$

$$\frac{1}{2}$$ + $$\frac{5}{6}$$ = 1.

Explanation:
In the above-given question,
given that,
$$\frac{1}{2}$$ + $$\frac{5}{6}$$.
5/6 + 1/2.
6/6 = 1.

g. $$\frac{3}{12}$$ + $$\frac{5}{6}$$

$$\frac{3}{12}$$ + $$\frac{5}{6}$$ = 1.

Explanation:
In the above-given question,
given that,
$$\frac{3}{12}$$ + $$\frac{5}{6}$$.
3/12 + 5/6.
6/6 = 1.

h. $$\frac{7}{10}$$ + $$\frac{4}{5}$$

$$\frac{7}{10}$$ + $$\frac{4}{5}$$ = 1.1
$$\frac{7}{10}$$ + $$\frac{4}{5}$$.