## 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

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

\(\frac{2}{2}\) – \(\frac{1}{2}\) = 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.

Answer:

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.

Answer:

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.

Answer:

\(\frac{3}{3}\) – \(\frac{1}{3}\) = 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.

Answer:

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.

Answer:

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.

Answer:

\(\frac{8}{8}\) – \(\frac{1}{8}\) = 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.

Answer:

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.

Answer:

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.

Answer:

\(\frac{5}{5}\) – \(\frac{1}{5}\) = 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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

\(\frac{4}{3}\) – \(\frac{2}{3}\) = 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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

\(\frac{7}{5}\) – \(\frac{4}{5}\) = 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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

\(\frac{5}{4}\) – \(\frac{2}{4}\) = 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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

\(\frac{3}{3}\) – \(\frac{1}{3}\) = 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.

Answer:

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.

Answer:

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.

Answer:

\(\frac{2}{2}\) – \(\frac{1}{2}\) = 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.

Answer:

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.

Answer:

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.

Answer:

\(\frac{6}{6}\) – \(\frac{1}{6}\) = 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.

Answer:

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.

Answer:

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.

Answer:

\(\frac{10}{10}\) – \(\frac{1}{10}\) = 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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

\(\frac{5}{4}\) – \(\frac{3}{4}\) = 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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

\(\frac{8}{5}\) – \(\frac{4}{5}\) = 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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

\(\frac{7}{6}\) – \(\frac{5}{6}\) = 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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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. \(\frac{3}{4}\) + \(\frac{1}{2}\)

Answer:

\(\frac{3}{4}\) + \(\frac{1}{2}\) = 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. \(\frac{2}{3}\) + \(\frac{3}{6}\)

Answer:

\(\frac{2}{3}\) + \(\frac{3}{6}\) = 1.

Explanation:

In the above-given question,

given that,

\(\frac{2}{3}\) + \(\frac{3}{6}\).

2/3 + 3/6.

3/3 = 1.

c. \(\frac{5}{6}\) + \(\frac{1}{3}\)

Answer:

\(\frac{5}{6}\) + \(\frac{1}{3}\) = 1.

Explanation:

In the above-given question,

given that,

\(\frac{5}{6}\) + \(\frac{1}{3}\).

5/6 + 1/3.

6/6 = 1.

d. \(\frac{4}{5}\) + \(\frac{7}{10}\)

Answer:

\(\frac{4}{5}\) + \(\frac{7}{10}\) = 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. \(\frac{1}{2}\) + \(\frac{3}{4}\)

Answer:

\(\frac{1}{2}\) + \(\frac{3}{4}\) = 1.

Explanation:

In the above-given question,

given that,

\(\frac{1}{2}\) + \(\frac{3}{4}\).

3/4 + 1/2.

4/4 = 1.

b. \(\frac{1}{2}\) + \(\frac{6}{8}\)

Answer:

\(\frac{1}{2}\) + \(\frac{6}{8}\) = 1.

Explanation:

In the above-given question,

given that,

\(\frac{1}{2}\) + \(\frac{6}{8}\).

6/8 + 1/2.

4/4 = 1.

c. \(\frac{7}{10}\) + \(\frac{3}{5}\)

Answer:

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

Explanation:

In the above-given question,

given that,

\(\frac{7}{10}\) + \(\frac{3}{5}\).

7/10 + 3/5.

10/10 = 1.

d. \(\frac{2}{3}\) + \(\frac{5}{6}\)

Answer:

\(\frac{2}{3}\) + \(\frac{5}{6}\) = 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. \(\frac{3}{4}\) + \(\frac{2}{8}\)

Answer:

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

Explanation:

In the above-given question,

given that,

\(\frac{3}{4}\) + \(\frac{2}{8}\).

3/4 + 2/4.

1/4.

b. \(\frac{4}{6}\) + \(\frac{1}{2}\)

Answer:

\(\frac{4}{6}\) + \(\frac{1}{2}\) = 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. \(\frac{4}{6}\) + \(\frac{2}{3}\)

Answer:

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

Explanation:

In the above-given question,

given that,

\(\frac{4}{6}\) + \(\frac{2}{3}\).

4/6 + 2/3.

4/3.

d. \(\frac{8}{10}\) + \(\frac{3}{5}\)

Answer:

\(\frac{8}{10}\) + \(\frac{3}{5}\) = 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. \(\frac{5}{8}\) + \(\frac{3}{4}\)

Answer:

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

Explanation:

In the above-given question,

given that,

\(\frac{5}{8}\) + \(\frac{3}{4}\).

5/8 + 3/4.

8/8 = 1.

f. \(\frac{5}{8}\) + \(\frac{2}{4}\)

Answer:

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

Explanation:

In the above-given question,

given that,

\(\frac{5}{8}\) + \(\frac{2}{4}\).

5/8 + 2/4.

7/4.

g. \(\frac{1}{2}\) + \(\frac{5}{8}\)

Answer:

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

Explanation:

In the above-given question,

given that,

\(\frac{1}{2}\) + \(\frac{5}{8}\).

5/8 + 1/2.

6/8.

h. \(\frac{3}{10}\) + \(\frac{4}{5}\)

Answer:

\(\frac{3}{10}\) + \(\frac{4}{5}\) = 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.

\(\frac{1}{4}\) + \(\frac{7}{8}\)

Answer:

\(\frac{1}{4}\) + \(\frac{7}{8}\) = 1.

Explanation:

In the above-given question,

given that,

\(\frac{1}{4}\) + \(\frac{7}{8}\).

1/4 + 7/8.

8/8 = 1.

Question 2.

\(\frac{2}{3}\) + \(\frac{7}{12}\)

Answer:

\(\frac{2}{3}\) + \(\frac{7}{12}\) = 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. \(\frac{7}{8}\) + \(\frac{1}{4}\)

Answer:

\(\frac{7}{8}\) + \(\frac{1}{4}\) = 1.

Explanation:

In the above-given question,

given that,

\(\frac{7}{8}\) + \(\frac{1}{4}\).

7/8 + 1/4.

8/8 = 1.

b. \(\frac{4}{8}\) + \(\frac{2}{4}\)

Answer:

\(\frac{4}{8}\) + \(\frac{2}{4}\) = 1.

Explanation:

In the above-given question,

given that,

\(\frac{4}{8}\) + \(\frac{2}{4}\).

4/8 + 2/4.

4/4 = 1.

c. \(\frac{4}{6}\) + \(\frac{1}{2}\)

Answer:

\(\frac{4}{6}\) + \(\frac{1}{2}\) = 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. \(\frac{3}{5}\) + \(\frac{8}{10}\)

Answer:

\(\frac{3}{5}\) + \(\frac{8}{10}\) = 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. \(\frac{1}{2}\) + \(\frac{5}{8}\)

Answer:

\(\frac{1}{2}\) + \(\frac{5}{8}\) = 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. \(\frac{3}{4}\) + \(\frac{3}{8}\)

Answer:

\(\frac{3}{4}\) + \(\frac{3}{4}\) = 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. \(\frac{4}{10}\) + \(\frac{4}{5}\)

Answer:

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

Explanation:

In the above-given question,

given that,

\(\frac{4}{10}\) + \(\frac{4}{5}\).

4/10 + 4/5.

6/5.

d. \(\frac{1}{3}\) + \(\frac{5}{6}\)

Answer:

\(\frac{1}{3}\) + \(\frac{5}{6}\) = 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. \(\frac{1}{2}\) + \(\frac{6}{8}\)

Answer:

\(\frac{1}{2}\) + \(\frac{6}{8}\) = 1.

Explanation:

In the above-given question,

given that,

\(\frac{1}{2}\) + \(\frac{6}{8}\).

1/2 + 6/8.

4/4 = 1.

b. \(\frac{7}{8}\) + \(\frac{3}{4}\)

Answer:

\(\frac{7}{8}\) + \(\frac{3}{4}\) = 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. \(\frac{5}{6}\) + \(\frac{1}{3}\)

Answer:

\(\frac{5}{6}\) + \(\frac{1}{3}\) = 1.

Explanation:

In the above-given question,

given that,

\(\frac{5}{6}\) + \(\frac{1}{3}\).

5/6 + 1/3.

6/6 = 1.

d. \(\frac{9}{10}\) + \(\frac{2}{5}\)

Answer:

\(\frac{9}{10}\) + \(\frac{2}{5}\) = 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. \(\frac{4}{12}\) + \(\frac{3}{4}\)

Answer:

\(\frac{4}{12}\) + \(\frac{3}{4}\) = 1.

Explanation:

In the above-given question,

given that,

\(\frac{4}{12}\) + \(\frac{3}{4}\).

3/4 + 4/12.

4/4 = 1.

f. \(\frac{1}{2}\) + \(\frac{5}{6}\)

Answer:

\(\frac{1}{2}\) + \(\frac{5}{6}\) = 1.

Explanation:

In the above-given question,

given that,

\(\frac{1}{2}\) + \(\frac{5}{6}\).

5/6 + 1/2.

6/6 = 1.

g. \(\frac{3}{12}\) + \(\frac{5}{6}\)

Answer:

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

Explanation:

In the above-given question,

given that,

\(\frac{3}{12}\) + \(\frac{5}{6}\).

3/12 + 5/6.

6/6 = 1.

h. \(\frac{7}{10}\) + \(\frac{4}{5}\)

Answer:

\(\frac{7}{10}\) + \(\frac{4}{5}\) = 1.1

Explanation:

In the above-given question,

given that,

\(\frac{7}{10}\) + \(\frac{4}{5}\).

7/10 + 4/5.

11/10 = 1.1.