## Engage NY Eureka Math 4th Grade Module 5 Lesson 30 Answer Key

### Eureka Math Grade 4 Module 5 Lesson 30 Sprint Answer Key

A

Change Fractions to Mixed Numbers

Answer:

3 = 2 + 1, 3/2 = 2/2 + 1/2, 3/2 = 1 + 1/2, 3/2 = 1(1/2), 5 = 4 + 1, 5/4 = 4/4 + 1/4, 5/4 = 1 + 1/4, 5/4 = 1(1/4), 4 = 3 + 1, 4/3 = 3/3 + 1/3, 4/3 = 1 + 1/3, 4/3 = 1(1/3), 7 = 5 + 2, 7/5 = 5/5 + 2/5, 7/5 = 1 + 2/5, 7/5 = 1(1/5), 8/5 = 1(3/5), 9/5 = 1(4/5), 6/5 = 1(1/5), 10/5 = 2, 11/5 = 10/5 + 1/5, 11/5 = 2 + 1/5, 6/3 = 2, 8/3 = 6/3 + 2/3, 8/3 = 6/3 + 2/3, 8/3 = 2 + 2/3, 8/3 = 2(2/3), 9/4 = 8/4 + 1/4, 9/4 = 2 + 1/4, 11/4 = 2(3/4), 8/3 = 6/3 + 2/3, 8/3 = 6/3 + 2/3, 8/3 = 6/3 + 2/3, 8/3 = 2(2/3), 14/5 = 10/5 + 4/5, 14/5 = 10/5 + 4/5, 14/5 = 2(4/5), 13/5 = 2(3/5), 9/8 = 1 + 1/8, 15/8 = 1 + 7/8, 17/12 = 12/12 + 5/12, 11/8 = 1 + 3/8, 17/12 = 1 + 5/12.

Explanation:

In the above-given question,

given that,

change fractions to mixed numbers.

Question 1.

3 = 2 + ___1___

Answer:

3 = 2 + 1.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

3 = 2 + 1.

2 + 1 = 3.

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

Answer:

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

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

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

2 + 1 = 3.

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

Question 3.

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

Answer:

3/2 = 1 + 1/2.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

3/2 = 1 + 1/2.

2 + 1 = 3.

1 + 1/2 = 3/2.

Question 4.

\(\frac{3}{2}\) = 1\(\frac{1}{2}\)

Answer:

3/2 = 1 x 1/2.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

3/2 = 1 x 1/2.

2 + 1 = 3.

1 x 1/2 = 3/2.

Question 5.

5 = 4 + __1___

Answer:

5 = 4 + 1.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

5 = 4 + 1.

4 + 1 = 5.

Question 6.

\(\frac{5}{4}\) = \(\frac{4}{4}\) + \(\frac{1}{4}\)

Answer:

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

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

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

4 + 1 = 5.

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

Question 7.

\(\frac{5}{4}\) = 1 + \(\frac{1}{4}\)

Answer:

5/4 = 1 + 1/4.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

5/4 = 1 + 1/4.

4 + 1 = 5.

1 + 1/4 = 5/4.

Question 8.

\(\frac{5}{4}\) = 1\(\frac{1}{4}\)

Answer:

5/4 = 1 x 1/4.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

5/4 = 1 x 1/4.

4 + 1 = 5.

1 x 1/4 = 5/4.

Question 9.

4 = __3__ + 1

Answer:

4 = 3 + 1.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

4 = 3 + 1.

3 + 1 = 4.

Question 10.

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

Answer:

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

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

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

3 + 1 = 4.

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

Question 11.

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

Answer:

4/3 = 1 + 1/3.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

4/3 = 1 + 1/3.

3 + 1 = 4.

1/3 + 1 = 4/3.

Question 12.

\(\frac{4}{3}\) = __1___ \(\frac{1}{3}\)

Answer:

4/3 = 1 x 1/3.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

4/3 = 1 x 1/3.

3 + 1 = 4.

1/3 x 1 = 4/3.

Question 13.

7 = __5__ + 2

Answer:

7 = 5 + 2.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

7 = 5 + 2.

2 + 5 = 7.

Question 14.

\(\frac{7}{5}\) = \(\frac{5}{5}\) + \(\frac{2}{5}\)

Answer:

7/5 = 5/5 + 2/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

7/5 = 5/5 + 2/5.

5 + 2 = 7.

5/5 + 2/5 = 7/5.

Question 15.

\(\frac{7}{5}\) = 1 + \(\frac{2}{5}\)

Answer:

7/5 = 1 + 2/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

7/5 = 1 + 2/5.

6 + 1 = 7.

2/5 + 1 = 7/5.

Question 16.

\(\frac{7}{5}\) = 1\(\frac{1}{5}\)

Answer:

7/5 = 1 x 1/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

7/5 = 1 x 1/5.

6 + 1 = 7.

1/5 x 1 = 7/5.

Question 17.

\(\frac{8}{5}\) = 1\(\frac{1}{5}\)

Answer:

8/5 = 1 x 1/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

8/5 = 1 x 1/5.

7 + 1 = 8.

1/5 x 1 = 8/5.

Question 18.

\(\frac{9}{5}\) = 1\(\frac{4}{5}\)

Answer:

9/5 = 1 x 4/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

9/5 = 1 x 4/5.

8 + 1 = 9.

4/5 x 1 = 9/5.

Question 19.

\(\frac{6}{5}\) = 1\(\frac{1}{5}\)

Answer:

6/5 = 1 x 1/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

6/5 = 1 x 1/5.

5 + 1 = 6.

1/5 x 1 = 6/5.

Question 20.

\(\frac{10}{5}\) = 2.

Answer:

10/5 = 2.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

10/5 = 2.

5 x 2 = 10.

2 = 10/5.

Question 21.

\(\frac{11}{5}\) = \(\frac{10}{5}\) + \(\frac{1}{5}\)

Answer:

11/5 = 10/5 + 1/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

11/5 = 10/5 + 1/5.

10 + 1 = 11.

10/5 + 1/5 = 11/5.

Question 22.

\(\frac{11}{5}\) = 2 + \(\frac{1}{5}\)

Answer:

11/5 = 2 + 1/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

11/5 = 2 + 1/5.

10 + 1 = 11.

1/5 + 2 = 11/5.

Question 23.

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

Answer:

6/3 = 2.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

6/3 = 2.

3 x 2 = 6.

2 = 6/3.

Question 24.

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

Answer:

8/3 = 6/3 + 2/3.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

8/3 = 6/3 + 2/3.

6 + 2 = 8.

2/3 + 6/3 = 8/3.

Question 25.

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

Answer:

8/3 = 6/3 + 2/3.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

8/3 = 6/3 + 2/3.

6 + 2 = 8.

6/3 + 2/3 = 8/3.

Question 26.

\(\frac{8}{3}\) = 2 + \(\frac{2}{3}\)

Answer:

8/3 = 2 + 2/3.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

8/3 = 2 + 2/3.

7 + 1 = 8.

2 + 2/3 = 8/3.

Question 27.

\(\frac{8}{3}\) = 2\(\frac{2}{3}\)

Answer:

8/3 = 2 + 2/3.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

8/3 = 2 + 2/3.

7 + 1 = 8.

2 + 2/3 = 8/3.

Question 28.

\(\frac{9}{4}\) = \(\frac{8}{4}\) + \(\frac{1}{4}\)

Answer:

9/4 = 8/4 + 1/4.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

9/4 = 8/4 + 1/4.

6 + 2 = 8.

1/4 + 8/4 = 9/4.

Question 29.

\(\frac{9}{4}\) = 2 + \(\frac{1}{4}\)

Answer:

9/4 = 2 + 1/4.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

9/4 = 2 + 1/4.

8 + 1 = 9.

2 + 1/4 = 9/4.

Question 30.

\(\frac{9}{4}\) = ___2__ \(\frac{1}{4}\)

Answer:

9/4 = 2 x 1/4.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

9/4 = 2 x 1/4.

8 + 1 = 9.

2 x 1/4 = 9/4.

Question 31.

\(\frac{11}{4}\) = ___2__ \(\frac{3}{4}\)

Answer:

11/4 = 2 x 3/4.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

11/4 = 2 x 3/4.

10 + 1 = 11.

2 x 3/4 = 11/4.

Question 32.

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

Answer:

8/3 = 6/3 + 2/3.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

8/3 = 6/3 + 2/3.

6 + 2 = 8.

6/3 + 2/3 = 8/3.

Question 33.

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

Answer:

8/3 = 6/3 + 2/3.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

8/3 = 6/3 + 2/3.

6 + 2 = 8.

6/3 + 2/3 = 8/3.

Question 34.

\(\frac{8}{3}\) =

Answer:

8/3 = 2 + 2/3.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

8/3 = 2 + 2/3.

6 + 2 = 8.

2/3 + 2 = 8/3.

Question 35.

\(\frac{8}{3}\) = ___2___ \(\frac{2}{3}\)

Answer:

8/3 = 2 x 2/3.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

8/3 = 2 x 2/3.

6 + 2 = 8.

2/3 x 2 = 8/3.

Question 36.

\(\frac{14}{5}\) = \(\frac{10}{5}\) + \(\frac{4}{5}\)

Answer:

14/5 = 10/5 + 4/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

14/5 = 10/5 + 4/5.

10 + 4 = 14.

4/5 + 10/5 = 14/5.

Question 37.

\(\frac{14}{5}\) = ___2___ + \(\frac{4}{5}\)

Answer:

14/5 = 2 + 4/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

14/5 = 2 + 4/5.

10 + 4 = 14.

4/5 + 2 = 14/5.

Question 38.

\(\frac{14}{5}\) = 2\(\frac{4}{5}\)

Answer:

14/5 = 2 x 4/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

14/5 = 2 x 4/5.

10 + 4 = 14.

4/5 x 2 = 14/5.

Question 39.

\(\frac{13}{5}\) = 2\(\frac{3}{5}\)

Answer:

13/5 = 2 x 3/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

13/5 = 2 x 3/5.

10 + 3 = 13.

3/5 x 2 = 13/5.

Question 40.

\(\frac{9}{8}\) = 1 + \(\frac{1}{8}\)

Answer:

9/8 = 1 + 1/8.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

9/8 = 1 + 1/8.

8 + 1 = 9.

1/8 + 1 = 9/8.

Question 41.

\(\frac{15}{8}\) = 1 + \(\frac{7}{8}\)

Answer:

15/8 = 1 + 7/8.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

15/8 = 1 + 7/8.

10 + 5 = 15.

7/8 + 1 = 15/8.

Question 42.

\(\frac{17}{12}\) = \(\frac{12}{12}\) + \(\frac{5}{12}\)

Answer:

17/12 = 12/12 + 5/12.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

17/12 = 12/12 + 5/12.

12 + 5 = 17.

5/12 + 12/12 = 17/12.

Question 43.

\(\frac{11}{8}\) = 1 + \(\frac{3}{8}\)

Answer:

11/8 = 1 + 3/8.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

11/8 = 1 + 3/8.

10 + 1 = 11.

3/8 + 1 = 11/8.

Question 44.

\(\frac{17}{12}\) = 1 + \(\frac{5}{12}\)

Answer:

17/12 = 1 + 5/12.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

17/12 = 1 + 5/12.

10 + 1 = 11.

5/12 + 1 = 17/12.

B

Change Fractions to Mixed Numbers

Answer:

6 = 5 +1, 6/5 = 5/5 + 1/5, 6/5 = 1 + 1/5, 6/5 = 1(1/5), 4 = 3 + 1, 4/3 = 3/3 + 1/3, 4/3 = 1 + 1/3, 4/3 = 1(1/3), 5 = 4 + 1, 5/4 = 4/4 + 1/4, 5/4 = 1 + 1/4, 5/4 = 1(1/4), 8 = 5 + 3, 8/5 = 5/5 + 3/8, 8/5 = 1 + 3/5, 8/5 = 1(1/5), 9/5 = 1(4/5), 6/5 = 1(1/5), 7/5 = 1(2/5), 6/3 = 2, 7/3 = 6/3 + 1/3, 7/3 = 2 + 1/3, 4/2 = 2, 5/2 = 4/2 + 1/2, 5/2 = 4/2 + 1/2, 5/2 = 4/2 + 1/2, 5/2 = 2 + 1/2, 5/2 = 2(1/2), 11/5 = 10/5 + 1/5, 11/5 = 2 + 1/5, 11/5 = 2(1/5), 13/5 = 2(3/5), 5/3 = 4/3 + 1/3, 5/2 = 4/2 + 1/2, 5/2 = 2 + 1/2, 5/2 = 2(1/2), 12/5 = 10/5 + 2/5, 12/5 = 2 + 2/5, 12/5 = 2(2/5), 14/5 = 2(4/5), 9/8 = 1 + 1/8, 11/8 = 1 + 3/8, 19/12 = 12/12 + 7/12, 15/8 = 1 + 7/8, 19/12 = 1 + 7/12.

Explanation:

In the above-given question,

given that,

change fractions to mixed numbers.

Question 1.

6 = 5 + __1____

Answer:

6 = 5 + 1.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

6 = 5 + 1.

1 + 5 = 6.

Question 2.

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

Answer:

6/5 = 5/5 + 1/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

6/5 = 5/5 + 1/5.

5 + 1 = 6.

5/5 + 1/5 = 6/5.

Question 3.

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

Answer:

6/5 = 1 + 1/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

6/5 = 1 + 1/5.

5 + 1 = 6.

1/5 + 1 = 6/5.

Question 4.

\(\frac{6}{5}\) = 1\(\frac{1}{5}\)

Answer:

6/5 = 1 x 1/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

6/5 = 1 x 1/5.

5 + 1 = 6.

1/5 + 1 = 6/5.

Question 5.

4 = 3 + __1___

Answer:

4 = 3 + 1.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

4 = 3 + 1.

1 + 3 = 4.

Question 6.

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

Answer:

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

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

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

3 + 1 = 4.

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

Question 7.

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

Answer:

4/3 = 1 + 1/3.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

4/3 = 1 + 1/3.

3 + 1 = 4.

1/3 + 1 = 4/3.

Question 8.

\(\frac{4}{3}\) = 1\(\frac{1}{3}\)

Answer:

6/5 = 5/5 + 1/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

6/5 = 5/5 + 1/5.

5 + 1 = 6.

5/5 + 1/5 = 6/5.

Question 9.

5 = __4__ + 1

Answer:

5 = 4 + 1.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

5 = 4 + 1.

1 + 4 = 5.

Question 10.

\(\frac{5}{4}\) = \(\frac{4}{4}\) + \(\frac{1}{4}\)

Answer:

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

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

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

4 + 1 = 5.

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

Question 11.

\(\frac{5}{4}\) = 1 + \(\frac{1}{4}\)

Answer:

5/4 = 1 + 1/4.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

5/4 = 1 + 1/4.

4 + 1 = 5.

1/4 + 1 = 5/4.

Question 12.

\(\frac{5}{4}\) = __1___ \(\frac{1}{4}\)

Answer:

5/4 = 1 x 1/4.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

5/4 = 1 x 1/4.

4 + 1 = 5.

1/4 x 1 = 5/4.

Question 13.

8 = __5__ + 3

Answer:

8 = 5 + 3.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

8 = 5 + 3.

3 + 5 = 8.

Question 14.

\(\frac{8}{5}\) = \(\frac{5}{5}\) + \(\frac{3}{5}\)

Answer:

8/5 = 5/5 + 3/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

8/5 = 5/5 + 3/5.

7 + 1 = 8.

5/5 + 3/5 = 8/5.

Question 15.

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

Answer:

8/5 = 1 + 3/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

8/5 = 1 + 3/5.

7 + 1 = 8.

3/5 + 1 = 8/5.

Question 16.

\(\frac{8}{5}\) = 1\(\frac{3}{5}\)

Answer:

8/5 = 1 x 3/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

8/5 = 1 x 3/5.

7 + 1 = 8.

3/5 x 1 = 8/5.

Question 17.

\(\frac{9}{5}\) = 1\(\frac{4}{5}\)

Answer:

9/5 = 1 x 4/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

9/5 = 1 x 4/5.

8 + 1 = 9.

4/5 x 1 = 9/5.

Question 18.

\(\frac{6}{5}\) = 1\(\frac{1}{5}\)

Answer:

6/5 = 1 x 1/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

6/5 = 1 x 1/5.

5 + 1 = 6.

1/5 x 1 = 6/5.

Question 19.

\(\frac{7}{5}\) = 1\(\frac{2}{5}\)

Answer:

7/5 = 1 x 2/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

7/5 = 1 x 2/5.

6 + 1 = 7.

2/5 x 1 = 7/5.

Question 20.

\(\frac{6}{3}\) = 2

Answer:

2 = 6/3.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

2 = 6/3.

3 x 2 = 6.

6/3 = 2.

Question 21.

\(\frac{7}{3}\) = \(\frac{6}{3}\) + \(\frac{1}{3}\)

Answer:

7/3 = 6/3 + 1/3.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

7/3 = 6/3 + 1/3.

6 + 1 = 7.

1/3 + 6/3 = 7/3.

Question 22.

\(\frac{7}{3}\) = 2 + \(\frac{1}{3}\)

Answer:

7/3 = 2 + 1/3.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

7/3 = 2 + 1/3.

5 + 2 = 7.

1/3 + 2 = 7/3.

Question 23.

\(\frac{4}{2}\) = 2.

Answer:

2 = 4/2.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

2 = 4/2.

2 x 2 = 4.

4/2 = 2.

Question 24.

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

Answer:

5/2 = 4/2 + 1/2.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

5/2 = 4/2 + 1/2.

4 + 1 = 5.

1/2 + 4/2 = 5/2.

Question 25.

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

Answer:

5/2 = 4/2 + 1/2.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

5/2 = 4/2 + 1/2.

4 + 1 = 5.

1/2 + 4/2 = 5/2.

Question 26.

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

Answer:

5/2 = 2 + 1/2.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

5/2 = 2 + 1/2.

4 + 1 = 5.

1/2 + 2 = 5/2.

Question 27.

\(\frac{5}{2}\) = 2\(\frac{1}{2}\)

Answer:

5/2 = 2 x 1/2.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

5/2 = 2 x 1/2.

4 + 1 = 5.

1/2 x 2 = 5/2.

Question 28.

\(\frac{11}{5}\) = \(\frac{10}{5}\) + \(\frac{1}{5}\)

Answer:

11/5 = 10/5 + 1/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

11/5 = 10/5 + 1/5.

10 + 1 = 11.

10/5 + 1/5 = 11/5.

Question 29.

\(\frac{11}{5}\) = 2 + \(\frac{1}{5}\)

Answer:

11/5 = 2 + 1/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

11/5 = 2 + 1/5.

10 + 1 = 11.

1/5 + 2 = 11/5.

Question 30.

\(\frac{11}{5}\) = __2___ \(\frac{1}{5}\)

Answer:

11/5 = 2 x 1/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

11/5 = 2 x 1/5.

10 + 1 = 11.

1/5 x 2 = 11/5.

Question 31.

\(\frac{13}{5}\) = __2___ \(\frac{3}{5}\)

Answer:

13/5 = 2 x 3/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

13/5 = 2 x 3/5.

10 + 3 = 13.

3/5 x 2 = 13/5.

Question 32.

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

Answer:

5/3 = 4/3 + 1/3.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

5/3 = 4/3 + 1/3.

4 + 1 = 5.

1/3 + 4/3 = 5/3.

Question 33.

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

Answer:

5/2 = 4/2 + 1/2.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

5/2 = 4/2 + 1/2.

4 + 1 = 5.

1/2 + 4/2 = 5/2.

Question 34.

\(\frac{5}{2}\) = ____2__ + \(\frac{1}{2}\)

Answer:

5/2 = 2 + 1/2.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

5/2 = 2 + 1/2.

4 + 1 = 5.

1/2 + 2 = 5/2.

Question 35.

\(\frac{5}{2}\) = __2____ \(\frac{1}{2}\)

Answer:

5/2 = 2 x 1/2.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

5/2 = 2 x 1/2.

4 + 1 = 5.

1/2 x 2 = 5/2.

Question 36.

\(\frac{12}{5}\) = \(\frac{10}{5}\) + \(\frac{2}{5}\)

Answer:

12/5 = 10/5 + 2/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

12/5 = 10/5 + 2/5.

10 + 2 = 12.

2/5 + 10/5 = 12/5.

Question 37.

\(\frac{12}{5}\) = ___2___ + \(\frac{2}{5}\)

Answer:

12/5 = 2 + 2/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

12/5 = 2 + 2/5.

11 + 1 = 12.

2/5 + 2 = 12/5.

Question 38.

\(\frac{12}{5}\) = 2\(\frac{2}{5}\)

Answer:

12/5 = 2 x 2/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

12/5 = 2 x 2/5.

11 + 1 = 12.

2/5 x 2 = 12/5.

Question 39.

\(\frac{14}{5}\) = 2\(\frac{4}{5}\)

Answer:

14/5 = 2 x 4/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

14/5 = 2 x 4/5.

13 + 1 = 14.

4/5 x 2 = 14/5.

Question 40.

\(\frac{9}{8}\) = 1 + \(\frac{1}{8}\)

Answer:

9/8 = 1 + 1/8.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

9/8 = 1 + 1/8.

8 + 1 = 9.

1/8 + 1 = 9/8.

Question 41.

\(\frac{11}{8}\) = 1 + \(\frac{3}{8}\)

Answer:

11/8 = 1 + 3/8.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

11/8 = 1 + 3/8.

8 + 1 = 9.

3/8 + 1 = 11/8.

Question 42.

\(\frac{19}{12}\) = \(\frac{12}{12}\) + \(\frac{7}{12}\)

Answer:

19/12 = 12/12 + 7/12.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

19/12 = 12/12 + 7/12.

10 + 2 = 12.

7/12 + 12/12 = 19/12.

Question 43.

\(\frac{15}{8}\) = 1 + \(\frac{7}{8}\)

Answer:

15/8 = 1 + 7/8.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

15/8 = 1 + 7/8.

14 + 1 = 15.

7/8 + 1 = 15/8.

Question 44.

\(\frac{19}{12}\) = 1 + \(\frac{7}{12}\)

Answer:

19/12 = 1 + 7/12.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

19/12 = 1 + 7/12.

10 + 9 = 19.

7/12 + 1 = 19/12.

Eureka Math Grade 4 Module 5 Lesson 30 Problem Set Answer Key

Question 1.

Solve.

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

Answer:

3(1/4) + (1/4) = 14/4.

Explanation:

In the above-given question,

given that,

Addition the fractions.

3(1/4) + (1/4).

3 x 4 = 12.

12 + 1/4 = 13/4.

13/4 + 1/4 = 14/4.

3(1/4) + (1/4) = 14/4.

b. 7\(\frac{3}{4}\) + \(\frac{1}{4}\)

Answer:

7(3/4) + (1/4) = 32/4.

Explanation:

In the above-given question,

given that,

Addition the fractions.

7(3/4) + (1/4).

7 x 4 = 28.

28 + 3/4 = 31/4.

31/4 + 1/4 = 32/4.

7(3/4) + (1/4) = 32/4.

c. \(\frac{3}{8}\) + 5\(\frac{2}{8}\)

Answer:

5(2/8) + (3/8) = 46/8.

Explanation:

In the above-given question,

given that,

Add the fractions.

5(2/8) + (3/8).

5 x 8 = 40.

40 + 3/8 = 43/8.

43/8 + 3/8 = 46/8.

5(2/8) + (3/8) = 46/8.

d. \(\frac{1}{8}\) + 6\(\frac{7}{8}\)

Answer:

6(7/8) + (1/8) = 56/8.

Explanation:

In the above-given question,

given that,

Add the fractions.

6(7/8) + (1/8).

6 x 8 = 48.

48 + 7/8 = 55/8.

55/8 + 1/8 = 56/8.

6(7/8) + (1/8) = 56/8.

Question 2.

Complete the number sentences.

a. 4\(\frac{7}{8}\) + _1____ = 5

Answer:

4(7/8) + 1 = 5.

Explanation:

In the above-given question,

given that,

complete the number sentences.

4(7/8) + 1.

8 x 4 = 32.

32 + 7 = 39.

39 + 1 = 40.

40/8 = 5.

b. 7\(\frac{2}{5}\) + __3___ = 8

Answer:

7(2/5) + 3 = 8.

Explanation:

In the above-given question,

given that,

complete the number sentences.

7(2/5) + 3.

7 x 5 = 35.

35 + 2 = 37.

37 + 3 = 40.

40/5 = 8.

c. 3 = 2\(\frac{1}{6}\) + ___5___

Answer:

2(1/6) + 5 = 3.

Explanation:

In the above-given question,

given that,

complete the number sentences.

2(1/6) + 5.

2 x 6 = 12.

12 + 1 = 13.

13 + 5 = 18.

18/6 = 3.

d. 12 = 11\(\frac{1}{12}\) + ___12___

Answer:

11(1/12) + 12 = 12.

Explanation:

In the above-given question,

given that,

complete the number sentences.

11(1/12) + 12.

11 x 12 = 132.

132 + 12 = 144.

144/12 = 12.

Question 3.

Use a number bond and the arrow way to show how to make one. Solve.

Answer:

2(3/4) + (2/4) = 13/4.

Explanation:

In the above-given question,

given that,

Addition the fractions.

2(3/4) + (2/4).

2 x 4 = 8.

8 + 3/4 = 11/4.

11/4 + 2/4 = 13/4.

2(3/4) + (2/4) = 13/4.

Question 4.

Solve.

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

Answer:

4(2/3) + (2/3) = 16/3.

Explanation:

In the above-given question,

given that,

Addition the fractions.

4(2/3) + (2/3).

3 x 4 = 12.

12 + 2/3 = 14/3.

14/3 + 2/3 = 16/3.

4(2/3) + (2/3) = 16/3.

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

Answer:

3(3/5) + (4/5) = 22/5.

Explanation:

In the above-given question,

given that,

Addition the fractions.

3(3/5) + (4/5).

3 x 5 = 15.

15 + 3/5 = 18/5.

18/5 + 4/5 = 22/5.

3(3/5) + (4/5) = 22/5.

c. 5\(\frac{4}{6}\) + \(\frac{5}{6}\)

Answer:

5(4/6) + (5/6) = 39/6.

Explanation:

In the above-given question,

given that,

Addition the fractions.

5(4/6) + (5/6).

5 x 6 = 30.

30 + 4/6 = 34/6.

34/6 + 5/6 = 39/6.

5(4/6) + (5/6) = 39/6.

d. \(\frac{7}{8}\) + 6\(\frac{4}{8}\)

Answer:

6(4/8) + (7/8) = 59/8.

Explanation:

In the above-given question,

given that,

Addition the fractions.

6(4/8) + (7/8).

6 x 8 = 48.

48 + 4/8 = 52/8.

52/8 + 7/8 = 59/8.

6(4/8) + (7/8) = 59/8.

e. \(\frac{7}{10}\) + 7\(\frac{9}{10}\)

Answer:

7(9/10) + (7/10) = 86/10.

Explanation:

In the above-given question,

given that,

Addition the fractions.

7(9/10) + (7/10).

7 x 10 = 70.

70 + 9/10 = 79/10.

79/10 + 7/10 = 86/10.

7(9/10) + (7/10) = 86/10.

f. 9\(\frac{7}{12}\) + \(\frac{11}{12}\)

Answer:

9(7/12) + (11/12) = 126/2.

Explanation:

In the above-given question,

given that,

Addition the fractions.

9(7/12) + (11/12).

9 x 12 = 108.

108 + 7/12 = 115/12.

115/12 + 11/12 = 126/12.

9(7/12) + (11/12) = 126/2.

g. 2\(\frac{70}{100}\) + \(\frac{87}{100}\)

Answer:

2(70/100) + (87/100) = 357/100.

Explanation:

In the above-given question,

given that,

Addition the fractions.

2(70/100) + (87/100).

100 x 2 = 200.

200 + 70/100 = 270/100.

270/100 + 87/100 = 357/100.

2(70/100) + (87/100) = 357/100.

h. \(\frac{50}{100}\) + 16\(\frac{78}{100}\)

Answer:

16(78/100) + (50/100) = 1728/100.

Explanation:

In the above-given question,

given that,

Addition the fractions.

16(78/100) + (50/100).

100 x 16 = 1600.

1600 + 78/100 = 1678/100.

1678/100 + 50/4 = 1728/100.

16(78/100) + (50/100) = 1728/100.

Question 5.

To solve 7\(\frac{9}{10}\) + \(\frac{5}{10}\), Maria thought, “7\(\frac{9}{10}\) + \(\frac{1}{10}\) = 8 and 8 + \(\frac{4}{10}\) = 8 \(\frac{4}{10}\) .” Paul thought, “7\(\frac{9}{10}\) + \(\frac{5}{10}\) = 7 \(\frac{14}{10}\) = 7 + \(\frac{10}{10}\) + \(\frac{4}{10}\) = 8\(\frac{4}{10}\)” Explain why Maria and Paul are both right.

Answer:

Yes, Maria and Paul are right.

Explanation:

In the above-given question,

given that,

Maria thought,

7\(\frac{9}{10}\) + \(\frac{1}{10}\) = 8.

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

7(9/10) + 1/10.

70 + 9/10 + 1/10.

79 + 1/10 = 80/10 = 8.

8 + 4/10 = 84/10.

8 x 4/10 = 84/10.

Eureka Math Grade 4 Module 5 Lesson 30 Exit Ticket Answer Key

Solve.

Question 1.

3\(\frac{2}{5}\) + __3__ = 4

Answer:

3(2/5) + 3 = 4.

Explanation:

In the above-given question,

given that,

complete the number sentences.

3(2/5) + 3.

3 x 5 = 15.

15 + 2 = 17.

17 + 3 = 20.

20/5 = 4.

Question 2.

2\(\frac{3}{8}\) + \(\frac{7}{8}\)

Answer:

2(3/8) + 7/8 = 26/8.

Explanation:

In the above-given question,

given that,

complete the number sentences.

2(3/8) + 7/8.

2 x 8 = 16.

16 + 3/8 = 19/8.

19/8 + 7/8 = 26/8.

2(3/8) + 7/8 = 26/8.

Eureka Math Grade 4 Module 5 Lesson 30 Homework Answer Key

Question 1.

Solve.

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

Answer:

4(1/3) + 1/3 = 14/3.

Explanation:

In the above-given question,

given that,

complete the number sentences.

4(1/3) + 1/3.

4 x 3 = 12.

12 + 1/3 = 13/3.

13/3 + 1/3 = 14/3.

4(1/3) + 1/3 = 14/3.

b. 5\(\frac{1}{4}\) + \(\frac{2}{4}\)

Answer:

5(1/4) + 2/4 = 23/4.

Explanation:

In the above-given question,

given that,

complete the number sentences.

5(1/4) + 2/4.

5 x 4 = 20.

20 + 1/4 = 21/4.

21/4 + 2/4 = 23/4.

5(1/4) + 2/4 = 23/4.

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

Answer:

3(4/6) + 2/6 = 29/8.

Explanation:

In the above-given question,

given that,

complete the number sentences.

3(4/6) + 7/8.

3 x 6 = 18.

18 + 4/6 = 22/6.

22/6 + 7/8 = 29/8.

3(4/6) + 2/6 = 29/8.

d. \(\frac{5}{8}\) + 7\(\frac{3}{8}\)

Answer:

7(3/8) + 5/8 = 64/8.

Explanation:

In the above-given question,

given that,

complete the number sentences.

7(3/8) + 5/8.

7 x 8 = 56.

56 + 3/8 = 59/8.

59/8 + 5/8 = 64/8.

7(3/8) + 5/8 = 64/8.

Question 2.

Complete the number sentences.

a. 3\(\frac{5}{6}\) + __1___ = 4

Answer:

3(5/6) + 1 = 4.

Explanation:

In the above-given question,

given that,

complete the number sentences.

3(5/6) + 1.

3 x 6 = 18.

18 + 5/6 = 23/6.

1 + 23/6 = 24/6.

24/6 = 4.

b. 5\(\frac{3}{7}\) + ___4____ = 6

Answer:

5(3/7) + 4 = 6.

Explanation:

In the above-given question,

given that,

complete the number sentences.

5(3/7) + 4.

5 x 7 = 35.

35 + 3/7 = 38/7.

38/7 + 4 = 42/7.

42/7 = 6.

c. 5 = 4\(\frac{1}{8}\) + __7____

Answer:

4(1/8) + 7 = 5.

Explanation:

In the above-given question,

given that,

complete the number sentences.

4(1/8) + 7.

4 x 8 = 32.

32 + 1/8 = 33/8.

7 + 33/8 = 40/8.

40/8 = 5.

d. 15 = 14\(\frac{4}{12}\) + ___8___

Answer:

14(4/12) + 8 = 15.

Explanation:

In the above-given question,

given that,

complete the number sentences.

14(4/12) + 8.

14 x 12 = 168.

168 + 4/12 = 172/12.

8 + 172/12 = 180/12.

180/12 = 15.

Question 3.

Draw a number bond and the arrow way to show how to make one. Solve.

Answer:

5(1/4) + 2/4 = 23/4.

Explanation:

In the above-given question,

given that,

complete the number sentences.

5(1/4) + 2/4.

5 x 4 = 20.

20 + 1/4 = 21/4.

21/4 + 2/4 = 23/4.

5(1/4) + 2/4 = 23/4.

Question 4.

Solve.

a. 2\(\frac{3}{5}\) + \(\frac{3}{5}\)

Answer:

2(3/5) + 3/5 = 16/5.

Explanation:

In the above-given question,

given that,

complete the number sentences.

2(3/5) + 3/5.

2 x 5 = 10.

10 + 3/5 = 13/5.

13/5 + 3/5 = 16/5.

2(3/5) + 3/5 = 16/5.

b. 3\(\frac{6}{8}\) + \(\frac{4}{8}\)

Answer:

3(6/8) + 4/8 = 34/8.

Explanation:

In the above-given question,

given that,

complete the number sentences.

3(6/8) + 4/8.

3 x 8 = 24.

24 + 6/8 = 30/8.

30/8 + 4/8 = 34/8.

3(6/8) + 4/8 = 34/8.

c. 5\(\frac{4}{6}\) + \(\frac{3}{6}\)

Answer:

5(4/6) + 3/6 = 37/6.

Explanation:

In the above-given question,

given that,

complete the number sentences.

5(4/6) + 3/6.

5 x 6 = 30.

30 + 4/6 = 34/6.

34/6 + 3/6 = 37/6.

5(4/6) + 3/6 = 37/6.

d. \(\frac{7}{10}\) + 6\(\frac{6}{10}\)

Answer:

6(6/10) + 7/10 = 74/10.

Explanation:

In the above-given question,

given that,

complete the number sentences.

6(6/10) + 7/10.

6 x 10 = 60.

60 + 7/10 = 67/10.

67/10 + 7/10 = 74/10.

6(6/10) + 7/10 = 74/10.

e. \(\frac{5}{10}\) + 8\(\frac{9}{10}\)

Answer:

8(9/10) + 5/10 = 94/10.

Explanation:

In the above-given question,

given that,

complete the number sentences.

8(9/10) + 5/10.

8 x 10 = 80.

80 + 9/10 = 89/10.

89/10 + 5/10 = 94/10.

8(9/10) + 5/10 = 94/10.

f. 7\(\frac{8}{12}\) + \(\frac{11}{12}\)

Answer:

7(8/12) + 11/12 = 103/12.

Explanation:

In the above-given question,

given that,

complete the number sentences.

7(8/12) + 11/12.

7 x 12 = 84.

84 + 8/12 = 92/12.

92/12 + 11/12 = 103/12.

7(8/12) + 11/12 = 103/12.

g. 3\(\frac{90}{100}\) + \(\frac{58}{100}\)

Answer:

3(90/100) + 58/100 = 448/100.

Explanation:

In the above-given question,

given that,

complete the number sentences.

3(90/100) + 2/4.

3 x 100 = 300.

300 + 90/100 = 390/100.

390/100 + 58/100 = 448/100.

3(90/100) + 58/100 = 448/100.

h. \(\frac{60}{100}\) + 14\(\frac{79}{100}\)

Answer:

14(79/100) + 60/100 = 1539/100.

Explanation:

In the above-given question,

given that,

complete the number sentences.

14(79/100) + 60/100.

14 x 100 = 1400.

1400 + 60/100 = 1460/100.

1460/100 + 79/100 = 1539/100.

14(79/100) + 60/100 = 1539/100.

Question 5.

To solve 4\(\frac{8}{10}\) + \(\frac{3}{10}\), Carmen thought, “”4\(\frac{8}{10}\) + \(\frac{2}{10}\) = 5, and 5 + \(\frac{1}{10}\) = 5 \(\frac{1}{10}\).” Benny thought, “”4\(\frac{8}{10}\) + \(\frac{3}{10}\) = 4\(\frac{11}{10}\) = 4 + \(\frac{10}{10}\) + \(\frac{1}{10}\) = 5\(\frac{1}{10}\).” Explain why Carmen and Benny are both right.

Answer:

Carmen and Benny are right.

Explanation:

In the above-given question,

given that,

4(8/10) + 2/10 = 5.

4 x 10 = 40.

40 + 8/10 = 48/10.

48/10 + 2/10 = 50/10.

50/10 = 5.