## Engage NY Eureka Math 4th Grade Module 5 Lesson 34 Answer Key

### Eureka Math Grade 4 Module 5 Lesson 34 Sprint Answer Key

A

Change Mixed Numbers to Fractions

Answer:

4 = 3 + 1/1, 4/3 = 3/3 + 1/3, 4/3 = 1(1/3), 6 = 5 + 1/1, 6/5 = 5/5 + 1/5, 6/5 = 1 + 1/5, 6/5 = 1(1/5), 5 = 4 + 1, 5/4 = 4/4 + 1/5, 5/4 = 1 + 4/4, 5/4 = 1(1/4), 8 = 5 + 3, 8/5 = 5/5 + 3/5, 8/5 = 1+7/5, 8/5 = 1(7/5), 7/5 = 1(6/5), 6/5 = 1(5/5), 9/5 = 1(8/5), 10/5 = 1(9/5), 14/5 = 10/5 + 4/5, 6/5 = 2 + 4/5, 8/4 = 2, 11/4 = 8/4 + 3/4, 11/4 = 8/4 + 3/4, 11/4 = 2 + 9/4,

7/3 = 6/3 + 1/3, 3/3 = 2 + 1/3, 7/3 = 6(1/3), 8/3 = 6/3 + 2/3, 17/5 = 15/5 + 2/5, 17/5 = 15/5 + 2/5, 17/5 = 3(2/5), 13/6 = 11/6 + 2/6, 13/6 = 12/6 + 1/6, 13/6 = 2(1/6), 17/6 = 2(5/6), 9/8 = 1 + 1/8, 13/8 = 1 + 12/8, 19/10 = 1 + 18/10, 19/12 = 12/12 + 7/12, 11/6 = 1 + 10/6.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

4 = 3 + 1/1, 4/3 = 3/3 + 1/3, 4/3 = 1(1/3), 6 = 5 + 1/1, 6/5 = 5/5 + 1/5, 6/5 = 1 + 1/5, 6/5 = 1(1/5), 5 = 4 + 1, 5/4 = 4/4 + 1/5, 5/4 = 1 + 4/4, 5/4 = 1(1/4), 8 = 5 + 3, 8/5 = 5/5 + 3/5, 8/5 = 1+7/5, 8/5 = 1(7/5), 7/5 = 1(6/5), 6/5 = 1(5/5), 9/5 = 1(8/5), 10/5 = 1(9/5), 14/5 = 10/5 + 4/5, 6/5 = 2 + 4/5, 8/4 = 2, 11/4 = 8/4 + 3/4, 11/4 = 8/4 + 3/4, 11/4 = 2 + 9/4,

7/3 = 6/3 + 1/3, 3/3 = 2 + 1/3, 7/3 = 6(1/3), 8/3 = 6/3 + 2/3, 17/5 = 15/5 + 2/5, 17/5 = 15/5 + 2/5, 17/5 = 3(2/5), 13/6 = 11/6 + 2/6, 13/6 = 12/6 + 1/6, 13/6 = 2(1/6), 17/6 = 2(5/6), 9/8 = 1 + 1/8, 13/8 = 1 + 12/8, 19/10 = 1 + 18/10, 19/12 = 12/12 + 7/12, 11/6 = 1 + 10/6.

Question 1.

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 2.

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

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 3.

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

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

Question 5.

6 = 5 + __1___

Answer:

6 = 5 + 1.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

6 = 5 + 1.

5 + 1 = 6.

Question 6.

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

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.

1 + 1/5 = 6/5.

Question 7.

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

Question 8.

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

4 + 1 = 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.

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

Question 12.

\(\frac{5}{4}\) = __4__\(\frac{1}{4}\)

Answer:

5/4 = 4 + 1/4.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

5/4 = 4 + 1/4.

4 + 1 = 5.

4 + 1/4 = 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.

5 + 3 = 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.

5 + 3 = 8.

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

Question 15.

\(\frac{8}{5}\) = 1 + \(\frac{7}{5}\)

Answer:

8/5 = 1 + 7/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

8/5 = 1 + 7/5.

7 + 1 = 8.

7/5 + 1 = 8/5.

Question 16.

\(\frac{8}{5}\) = 1\(\frac{7}{5}\)

Answer:

8/5 = 1 + 7/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

8/5 = 1 + 7/5.

7 + 1 = 8.

1 + 7/5 = 8/5.

Question 17.

\(\frac{7}{5}\) = 1\(\frac{6}{5}\)

Answer:

7/5 = 1 + 6/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

7/5 = 1 + 6/5.

6 + 1 = 7.

1 + 6/5 = 7/5.

Question 18.

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

Answer:

6/5 = 1 + 5/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

6/5 = 1 + 5/5.

5 + 1 = 6.

1 + 5/5 = 6/5.

Question 19.

\(\frac{9}{5}\) = 1\(\frac{8}{5}\)

Answer:

9/5 = 1 + 8/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

9/5 = 1 + 8/5.

8 + 1 = 9.

1 + 8/5 = 9/5.

Question 20.

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

Answer:

10/5 = 10 + 1/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

10/5 = 10 + 1/5.

9 + 1 = 10.

10 + 1/5 = 10/5.

Question 21.

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

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 22.

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

Answer:

6/5 = 2 + 4/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

6/5 = 2 + 4/5.

4 + 2 = 6.

2 + 4/5 = 6/5.

Question 23.

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

Answer:

8/4 = 7 + 1/4.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

8/4 = 7 + 1/4.

7 + 1 = 8.

7 + 1/4 = 8/4.

Question 24.

\(\frac{11}{4}\) = \(\frac{8}{4}\) + \(\frac{3}{4}\)

Answer:

11/4 = 8/4 + 3/4.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

11/4 = 8/4 + 3/4.

8 + 3 = 11.

8/4 + 3/4 = 11/4.

Question 25.

\(\frac{11}{4}\) = \(\frac{8}{4}\) + \(\frac{3}{4}\)

Answer:

11/4 = 8/4 + 3/4.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

11/4 = 8/4 + 3/4.

8 + 3 = 11.

8/4 + 3/4 = 11/4.

Question 26.

\(\frac{11}{4}\) = 2 + \(\frac{9}{4}\)

Answer:

11/4 = 2 + 9/4.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

11/4 = 2 + 9/4.

9 + 2 = 11.

2 + 9/4 = 11/4.

Question 27.

\(\frac{11}{4}\) = 2\(\frac{9}{4}\)

Answer:

11/4 = 2 + 9/4.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

11/4 = 2 + 9/4.

2 + 9 = 11.

2 + 9/4 = 11/4.

Question 28.

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

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.

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

Question 29.

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

Answer:

3/3 = 2 + 1/3.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

3/3 = 2 + 1/3.

2 + 1 = 3.

2 + 1/3 = 3/3.

Question 30.

\(\frac{7}{3}\) = __6__\(\frac{1}{3}\)

Answer:

7/3 = 6 + 1/3.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

7/3 = 6 + 1/3.

6 + 1 = 7.

6 + 1/3 = 7/3.

Question 31.

\(\frac{8}{3}\) = __6___\(\frac{2}{3}\)

Answer:

8/3 = 6 + 2/3.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

8/3 = 6 + 2/3.

6 + 2 = 8.

6 + 2/3 = 8/3.

Question 32.

\(\frac{17}{5}\) = \(\frac{15}{5}\) + \(\frac{2}{5}\)

Answer:

17/5 = 15/5 + 2/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

17/5 = 15/5 + 2/5.

15 + 2 = 17.

15/5 + 2/5 = 17/5.

Question 33.

\(\frac{17}{5}\) = \(\frac{15}{5}\) + \(\frac{2}{5}\)

Answer:

17/5 = 15/5 + 2/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

17/5 = 15/5 + 2/5.

15 + 2 = 17.

15/5 + 2/5 = 17/5.

Question 34.

\(\frac{17}{5}\) = ___15__ + \(\frac{2}{5}\)

Answer:

17/5 = 15 + 2/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

17/5 = 15 + 2/5.

15 + 2 = 17.

15 + 2/5 = 17/5.

Question 35.

\(\frac{17}{5}\) = _15____ \(\frac{2}{5}\)

Answer:

17/5 = 15 + 2/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

17/5 = 15 + 2/5.

15 + 2 = 17.

15 + 2/5 = 17/5.

Question 36.

\(\frac{13}{6}\) = \(\frac{12}{6}\) + \(\frac{1}{6}\)

Answer:

13/6 = 12/6 + 1/6.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

13/6 = 12 + 1/6.

12 + 1 = 13.

12 + 1/6 = 13/6.

Question 37.

\(\frac{13}{6}\) = __12/6__ + \(\frac{1}{6}\)

Answer:

13/6 = 12/6 + 1/6.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

13/6 = 12/6 + 1/6.

12 + 1 = 13.

12/6 + 1/6 = 13/6.

Question 38.

\(\frac{13}{6}\) = 2\(\frac{1}{6}\)

Answer:

13/6 = 2 + 1/6.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

13/6 = 2 + 1/6.

12 + 1 = 13.

2 + 1/6 = 13/6.

Question 39.

\(\frac{17}{6}\) = 2 \(\frac{5}{6}\)

Answer:

5/4 = 4 + 1/4.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

5/4 = 4 + 1/4.

4 + 1 = 5.

4 + 1/4 = 5/4.

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 + 1/8 = 9/8.

Question 41.

\(\frac{13}{8}\) = 1 + \(\frac{5}{8}\)

Answer:

13/8 = 1 + 5/8.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

13/8 = 1 + 5/8.

12 + 1 = 13.

1 + 5/8 = 13/8.

Question 42.

\(\frac{19}{10}\) = 1 + \(\frac{9}{10}\)

Answer:

19/10 = 1 + 9/10.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

19/10 = 1 + 9/10.

10 + 9 = 19.

1 + 9/10 = 19/10.

Question 43.

\(\frac{19}{12}\) = \(\frac12}{12}\) + \(\frac{7}{12}\)

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.

12 + 7 = 19.

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

Question 44.

\(\frac{11}{6}\) = 1 + \(\frac{5}{6}\)

Answer:

11/6 = 1 + 5/6.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

11/6 = 1 + 5/6.

10 + 1 = 11.

1 + 5/6 = 11/6.

B

Change Mixed Numbers to Fractions

Answer:

5 = 4 + 1, 5/4 = 4/4 + 1/4, 5/4 = 1 + 1/4, 5/4 = 1(1/4), 3 = 2 + 1, 3/2 = 2/2 + 1/2, 3/2 = 1 + 1/2, 3/2 = 1(1/2), 9 = 8 + 1, 9/8 = 8/8 + 1/8, 9/8 = 1 + 1/8, 9/8 = 1(1/8), 9 = 5 + 4, 9/5 = 5/5 + 4/5, 9/5 = 1 + 4/5, 9/5 = 1(4/5), 8/5 = 1(3/5), 7/5 = 1(2/5), 6/5 = 1(1/5), 8/4 = 7/4 + 1/4, 9/4 = 8/4 + 1/4, 3/4 = 2 + 1/4, 6/3 = 5/3 + 1/3, 8/3 = 6/3 + 2/3, 8/3 = 6/3 + 2/3, 8/3 = 2 + 6/3, 8/3 = 2(6/3), 21/10 = 20/10 + 1/10, 21/10 = 20/10 + 1/10, 21/10 = 2(1/10), 27/10 = 2(7/10), 13/6 = 12/6 + 1/6, 13/6 = 12/6 + 1/6, 13/6 = 12/6 + 1/6, 13/6 = 12(1/6), 17/8 = 16/8 + 1/8, 17/8 = 16/8 + 1/8, 21/8 = 2(5/8), 7/6 = 1 + 1/6, 11/6 = 1 + 5/6, 13/5 = 2 + 3/5, 17/12 = 12/12 + 5/12, 13/8 = 1 + 5/8.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

5 = 4 + 1, 5/4 = 4/4 + 1/4, 5/4 = 1 + 1/4, 5/4 = 1(1/4), 3 = 2 + 1, 3/2 = 2/2 + 1/2, 3/2 = 1 + 1/2, 3/2 = 1(1/2), 9 = 8 + 1, 9/8 = 8/8 + 1/8, 9/8 = 1 + 1/8, 9/8 = 1(1/8), 9 = 5 + 4, 9/5 = 5/5 + 4/5, 9/5 = 1 + 4/5, 9/5 = 1(4/5), 8/5 = 1(3/5), 7/5 = 1(2/5), 6/5 = 1(1/5), 8/4 = 7/4 + 1/4, 9/4 = 8/4 + 1/4, 3/4 = 2 + 1/4, 6/3 = 5/3 + 1/3, 8/3 = 6/3 + 2/3, 8/3 = 6/3 + 2/3, 8/3 = 2 + 6/3, 8/3 = 2(6/3), 21/10 = 20/10 + 1/10, 21/10 = 20/10 + 1/10, 21/10 = 2(1/10), 27/10 = 2(7/10), 13/6 = 12/6 + 1/6, 13/6 = 12/6 + 1/6, 13/6 = 12/6 + 1/6, 13/6 = 12(1/6), 17/8 = 16/8 + 1/8, 17/8 = 16/8 + 1/8, 21/8 = 2(5/8), 7/6 = 1 + 1/6, 11/6 = 1 + 5/6, 13/5 = 2 + 3/5, 17/12 = 12/12 + 5/12, 13/8 = 1 + 5/8.

Question 1.

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 2.

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

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 3.

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

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

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.

Question 6.

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

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 7.

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

\(\frac{3}{2}\) = 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 9.

9 = __8__ + 1

Answer:

9 = 8 + 1.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

9 = 8 + 1.

8 + 1 = 9.

Question 10.

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

Answer:

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

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

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

8 + 1 = 9.

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

Question 11.

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

Question 12.

\(\frac{9}{8}\) = _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 + 1/8 = 9/8.

Question 13.

9 = __5__ + 4

Answer:

9 = 5 + 4.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

9 = 5 + 4.

5 + 4 = 9.

Question 14.

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

Answer:

9/5 = 5/5 + 4/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

9/5 = 5/5 + 4/5.

5 + 4 = 9.

5/5 + 4/5 = 9/5.

Question 15.

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

Answer:

9/5 = 1 + 4/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

9/5 = 1 + 4/5.

8 + 1 = 9.

1 + 4/5 = 9/5.

Question 16.

\(\frac{9}{5}\) = 1\(\frac{3}{5}\)

Answer:

9/5 = 1 + 3/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

9/5 = 1 + 3/5.

8 + 1 = 9.

1 + 3/5 = 9/5.

Question 17.

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

1 + 3/5 = 8/5.

Question 18.

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

1 + 2/5 = 7/5.

Question 19.

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

Question 20.

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

Answer:

8/4 = 7/4 + 1/4.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

8/4 = 7/4 + 1/4.

7 + 1 = 8.

7/4 + 1/4 = 8/4.

Question 21.

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

Answer:

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

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

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

8 + 1 = 9.

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

Question 22.

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

Answer:

3/4 = 2 + 1/4.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

3/4 = 2 + 1/4.

2 + 1 = 3.

2 + 1/4 = 3/4.

Question 23.

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

Answer:

6/3 = 5/3 + 1/3.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

6/3 = 5/3 + 1/3.

5 + 1 = 6.

5/3 + 1/3 = 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.

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

Answer:

8/3 = 2 + 6/3.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

8/3 = 2 + 6/3.

6 + 2 = 8.

2 + 6/3 = 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.

6 + 2 = 8.

2 + 2/3 = 8/3.

Question 28.

\(\frac{21}{10}\) = \(\frac{20}{10}\) + \(\frac{1}{10}\)

Answer:

21/10 = 20/10 + 1/10.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

21/10 = 20/10 + 1/10.

20 + 1 = 21.

20/10 + 1/10 = 21/10.

Question 29.

\(\frac{21}{10}\) = 2 + \(\frac{1}{10}\)

Answer:

21/10 = 2 + 1/10.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

21/10 = 2 + 1/10.

20 + 1 = 21.

2 + 1/10 = 21/10.

Question 30.

\(\frac{21}{10}\) = __2__\(\frac{1}{10}\)

Answer:

21/10 = 2 + 1/10.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

21/10 = 2 + 1/10.

20 + 1 = 21.

2 + 1/10 = 21/10.

Question 31.

\(\frac{27}{10}\) = ___2__\(\frac{7}{10}\)

Answer:

27/10 = 2 + 7/10.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

27/10 = 2 + 7/10.

20 + 7 = 27.

2 + 7/10 = 27/10.

Question 32.

\(\frac{13}{6}\) = \(\frac{12}{6}\) + \(\frac{1}{6}\)

Answer:

13/6 = 12/6 + 1/6.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

13/6 = 12/6 + 1/6.

12 + 1 = 13.

12/6 + 1/6 = 13/6.

Question 33.

\(\frac{13}{6}\) = \(\frac{12}{6}\) + \(\frac{1}{6}\)

Answer:

13/6 = 12/6 + 1/6.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

13/6 = 1/6 + 12/6.

12 + 1 = 13.

1/6 + 12/6 = 13/6.

Question 34.

\(\frac{13}{6}\) = _2____ + \(\frac{1}{6}\)

Answer:

13/6 = 2 + 1/6.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

13/6 = 2 + 1/6.

12 + 1 = 13.

2 + 1/6 = 13/6.

Question 35.

\(\frac{13}{6}\) = __2___ \(\frac{1}{6}\)

Answer:

13/6 = 2 + 1/6.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

13/6 = 2 + 1/6.

12 + 1 = 13.

2 + 1/6 = 13/6.

Question 36.

\(\frac{17}{8}\) = \(\frac{16}{8}\) + \(\frac{1}{8}\)

Answer:

17/8 = 16/8 + 1/8.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

17/8 = 16/8 + 1/8.

16 + 1 = 17.

16/8 + 1/8 = 17/8.

Question 37.

\(\frac{17}{8}\) = \(\frac{16}{8}\) + \(\frac{1}{8}\)

Answer:

17/8 = 16/8 + 1/8.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

17/8 = 16/8 + 1/8.

16 + 1 = 17.

16/8 + 1/8 = 17/8.

Question 38.

\(\frac{17}{8}\) = 2\(\frac{1}{8}\)

Answer:

17/8 = 2 + 1/8.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

17/8 = 2 + 1/8.

16 + 1 = 17.

2 + 1/8 = 17/8.

Question 39.

\(\frac{21}{8}\) = 2 \(\frac{5}{8}\)

Answer:

21/8 = 2 + 5/8.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

21/8 = 2 + 5/8.

20 + 1 = 21.

2 + 5/8 = 21/8.

Question 40.

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

Answer:

7/6 = 1 + 1/6.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

7/6 = 1 + 1/6.

7 + 1 = 8.

1 + 1/6 = 7/6.

Question 41.

\(\frac{11}{6}\) = 1 + \(\frac{5}{6}\)

Answer:

11/6 = 1 + 5/6.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

11/6 = 1 + 5/6.

10 + 1 = 11.

1 + 5/6 = 11/6.

Question 42.

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

Answer:

13/5 = 2 + 3/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

13/5 = 2 + 3/5.

12 + 1 = 13.

2 + 3/5 = 13/5.

Question 43.

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

Answer:

17/12 = 1/12 + 5/12.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

17/12 = 1/12 + 5/12.

15 + 2 = 17.

1/12 + 5/12 = 17/12.

Question 44.

\(\frac{13}{8}\) = 1 + \(\frac{5}{8}\)

Answer:

13/8 = 1 + 5/8.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

13/8 = 1 + 5/8.

12 + 1 = 13.

1 + 5/8 = 13/8.

## Eureka Math Grade 4 Module 5 Lesson 34 Problem Set Answer Key

Question 1.

Subtract.

Answer:

4(1/3) – 2/3 = 11/3.

Explanation:

In the above-given question,

given that,

subtract the fractions.

4(1/3) – 2/3.

4 x 3 = 12.

12 + 1/3 = 13/3.

13/3 – 2/3 = 11/3.

b. 5\(\frac{2}{4}\) – \(\frac{3}{4}\)

Answer:

5(2/4) – 3/4 = 11/3.

Explanation:

In the above-given question,

given that,

subtract the fractions.

5(2/4) – 3/4.

5 x 4 = 20.

20 + 2/4 = 22/4.

22/4 – 3/4 = 19/4.

c. 8\(\frac{3}{5}\) – \(\frac{4}{5}\)

Answer:

8(3/5) – 4/5 = 39/5.

Explanation:

In the above-given question,

given that,

subtract the fractions.

8(3/5) – 4/5.

8 x 5 = 40.

40 + 3/5 = 43/5.

43/5 – 4/5 = 39/5.

Question 2.

Subtract the ones first.

Answer:

3(1/4) – 1(3/4) = 1(2/4).

Explanation:

In the above-given question,

given that,

subtract the ones first.

3(1/4) – 1(3/4).

3 – 1 = 2.

2(1/4) – 3/4.

1(2/4).

b. 4\(\frac{2}{5}\) – 1\(\frac{3}{5}\)

Answer:

4(2/5) – 1(3/5) = 2(4/5).

Explanation:

In the above-given question,

given that,

subtract the ones first.

4(2/5) – 1(3/5).

4 – 1 = 3.

3(2/5) – 3/5.

2(4/5).

c. 5\(\frac{2}{6}\) – 3\(\frac{5}{6}\)

Answer:

5(2/6) – 3(5/6) = 1(3/6).

Explanation:

In the above-given question,

given that,

subtract the ones first.

5(2/6) – 3(5/6).

5 – 3 = 2.

2(2/6) – 5/6.

1(3/6).

d. 9\(\frac{3}{5}\) – 2\(\frac{4}{5}\)

Answer:

9(3/5) – 2(4/5) = 6(4/5).

Explanation:

In the above-given question,

given that,

subtract the ones first.

9(3/5) – 2(4/5).

9 – 2 = 7.

7(3/5) – 4/5.

6(4/5).

Question 3.

Solve using any strategy.

a. 7\(\frac{3}{8}\) – 2\(\frac{5}{8}\)

Answer:

7(3/8) – 2(5/8) = 38/8.

Explanation:

In the above-given question,

given that,

subtract the ones first.

7(3/8) – 2(5/8).

8 x 7 = 56.

8 x 2 = 16.

56 + 3/8 = 59/8.

16 + 5/8 = 21/8.

59/8 – 21/8 = 38/8.

b. 6\(\frac{4}{10}\) – 3\(\frac{8}{10}\)

Answer:

6(4/10) – 3(8/10) = 26/10.

Explanation:

In the above-given question,

given that,

subtract the ones first.

6(4/10) – 3(8/10).

6 x 10 = 60.

3 x 10 = 30.

60 + 4/10 = 64/10.

30 + 8/10 = 38/10.

64/10 – 38/10 = 26/10.

c. 8\(\frac{3}{12}\) – 3\(\frac{8}{12}\)

Answer:

8(3/12) – 3(8/12) = 55/12.

Explanation:

In the above-given question,

given that,

subtract the ones first.

8(3/12) – 3(8/12).

12 x 8 = 96.

12 x 3 = 36.

96 + 3/12 = 99/12.

36 + 8/12 = 44/12.

99/12 – 44/12 = 55/12.

d. 14\(\frac{2}{50}\) – 6\(\frac{43}{50}\)

Answer:

14(2/50) – 6(43/50) = 359/50.

Explanation:

In the above-given question,

given that,

subtract the ones first.

14(2/50) – 6(43/50).

14 x 50 = 700.

6 x 50 = 300.

700 + 2/50 = 702/50.

300 + 43/50 = 343/50.

702/50 – 343/50 = 359/50.

## Eureka Math Grade 4 Module 5 Lesson 34 Exit Ticket Answer Key

Solve.

Question 1.

7\(\frac{1}{6}\) – 2\(\frac{4}{6}\)

Answer:

7(1/6) – 2(4/6) = 27/6.

Explanation:

In the above-given question,

given that,

subtract the ones first.

7(1/6) – 2(4/6).

6 x 7 = 42.

6 x 2 = 12.

42 + 1/6 = 43/6.

12 + 4/6 = 16/6.

43/6 – 16/6 = 27/6.

Question 2.

12\(\frac{5}{8}\) – 3\(\frac{7}{8}\)

Answer:

12(5/8) – 3(7/8) = 71/8.

Explanation:

In the above-given question,

given that,

subtract the ones first.

12(5/8) – 3(7/8).

12 x 8 = 96.

8 x 3 = 24.

96 + 5/8 = 101/8.

24 + 7/8 = 31/8.

101/8 – 31/8 = 71/8.

## Eureka Math Grade 4 Module 5 Lesson 34 Homework Answer Key

Question 1.

Subtract

Answer:

5(1/4) – 3/4 = 18/4.

Explanation:

In the above-given question,

given that,

subtract the fractions.

5(1/4) – 3/4.

5 x 4 = 20.

20 + 1/4 = 21/4.

21/4 – 3/4 = 18/4.

b. 6\(\frac{3}{8}\) – \(\frac{6}{8}\)

Answer:

6(3/8) – 6/8 = 11/3.

Explanation:

In the above-given question,

given that,

subtract the fractions.

6(3/8) – 6/8.

6 x 8 = 48.

48 + 3/8 = 51/8.

51/8 – 6/8 = 45/8.

c. 7\(\frac{4}{6}\) – \(\frac{5}{6}\)

Answer:

7(4/6) – 5/6 = 11/3.

Explanation:

In the above-given question,

given that,

subtract the fractions.

7(4/6) – 5/6.

6 x 7 = 42.

42 + 4/6 = 46/6.

46/6 – 5/6 = 41/6.

Question 2.

Subtract the ones first.

Answer:

4(1/5) – 1(3/5) = 2(3/5).

Explanation:

In the above-given question,

given that,

subtract the ones first.

4(1/5) – 1(3/5).

4 – 1 = 3.

3(1/5) – 3/5.

2(3/5).

b. 4\(\frac{3}{6}\) – 2\(\frac{5}{6}\)

Answer:

4(3/6) – 2(5/6) = 1(4/6).

Explanation:

In the above-given question,

given that,

subtract the ones first.

4(3/6) – 2(5/6).

4 – 2 = 2.

2(3/6) – 5/6.

1(4/6).

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

Answer:

8(3/8) – 2(5/8) = 5(6/8).

Explanation:

In the above-given question,

given that,

subtract the ones first.

8(3/8) – 2(5/8).

8 – 2 = 6.

6(3/8) – 5/8.

5(6/8).

d. 13\(\frac{3}{10}\) – 8\(\frac{7}{10}\)

Answer:

13(3/10) – 8(7/10) = 6(6/10).

Explanation:

In the above-given question,

given that,

subtract the ones first.

13(3/10) – 8(7/10).

13 – 8 = 5.

5(3/10) – 7/10.

6(6/10).

Question 3.

Solve using any strategy.

a. 7\(\frac{3}{12}\) – 4\(\frac{9}{12}\)

Answer:

7(3/12) – 4(9/12) = 30/12.

Explanation:

In the above-given question,

given that,

subtract the ones first.

7(3/12) – 4(9/12).

12 x 7 = 84.

12 x 4 = 48.

84 + 3/12 = 87/12.

48 + 9/12 = 57/12.

87/12 – 57/12 = 30/12.

b. 9\(\frac{6}{10}\) – 5\(\frac{8}{10}\)

Answer:

9(6/10) – 5(8/10) = 38/10.

Explanation:

In the above-given question,

given that,

subtract the ones first.

9(6/10) – 5(8/10).

10 x 9 = 90.

10 x 5 = 50.

90 + 6/10 = 96/10.

50 + 8/10 = 58/10.

96/10 – 58/10 = 38/10.

c. 17\(\frac{2}{16}\) – 9\(\frac{7}{16}\)

Answer:

17(2/16) – 9(7/16) = 27/6.

Explanation:

In the above-given question,

given that,

subtract the ones first.

17(2/16) – 9(7/16).

17 x 16 = 272.

16 x 9 = 144.

272 + 2/16 = 274/16.

144 + 7/16 = 201/16.

274/16 – 201/16 = 73/16.

d. 12\(\frac{5}{100}\) – 8\(\frac{94}{100}\)

Answer:

12(5/100) – 8(94/100) = 311/100.

Explanation:

In the above-given question,

given that,

subtract the ones first.

12(5/100) – 8(94/100).

12 x 100 = 1200.

100 x 8 = 800.

1200 + 5/100 = 1205/100.

800 + 94/100 = 894/100.

1205/100 – 894/100 = 311/100.