## Engage NY Eureka Math 4th Grade Module 5 Lesson 33 Answer Key

### Eureka Math Grade 4 Module 5 Lesson 33 Sprint Answer Key

A

Change Mixed Numbers to Fractions

Answer:

2 + 1 = 3, 2/2 + 1/2 = 3/2, 1 + 1/2 = 3/2, 1(1/2) = 3/2, 4 + 1 = 5, 4/4 + 1/4 = 5/4, 1 + 1/4 = 5/4, 1(1/4) = 5/4, 3 + 1 = 4, 3/3 + 1/3 = 4/3, 1 + 1/3 = 4/3, 1(1/3) = 4/3, 5/5 + 1/5 = 6/5, 1 + 1/5 = 6/5, 1(1/5) = 6/5, 1(2/5) = 7/5, 1(4/5) = 9/5, 1(3/5) = 8/5, 4/4 +3/4 = 7/4, 1 + 3/4 = 4/4, 6/6 + 5/6 = 11/6, 1 + 5/6 = 11/6, 1(5/6) = 11/6, 2 + 1/2 = 5/2, 4/2 + 1/2 = 5/2, 2 + 1/2 = 5/2, 2(1/2) = 5/2, 2 + 1/4 = 2(1/4), 8/4 + 1/4 = 9/4, 2 + 1/4 = 9/4, 2(1/4) = 9/4, 9/3 + 2/3 = 11/3, 3 + 2/3 = 11/3, 3(2/3) = 11/3, 16/4 + 3/4 = 19/4, 4 + 3/4 = 19/4, 4(3/4) = 19/4, 3 + 2/5 = 17/5, 4 + 1/2 = 9/2, 3 + 3/4 = 15/4, 3 + 1/6 = 19/6, 3 + 5/8 = 29/8, 3(4/5) = 19/5, 4(7/8) = 39/8.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

2 + 1 = 3, 2/2 + 1/2 = 3/2, 1 + 1/2 = 3/2, 1(1/2) = 3/2, 4 + 1 = 5, 4/4 + 1/4 = 5/4, 1 + 1/4 = 5/4, 1(1/4) = 5/4, 3 + 1 = 4, 3/3 + 1/3 = 4/3, 1 + 1/3 = 4/3, 1(1/3) = 4/3, 5/5 + 1/5 = 6/5, 1 + 1/5 = 6/5, 1(1/5) = 6/5, 1(2/5) = 7/5, 1(4/5) = 9/5, 1(3/5) = 8/5, 4/4 +3/4 = 7/4, 1 + 3/4 = 4/4, 6/6 + 5/6 = 11/6, 1 + 5/6 = 11/6, 1(5/6) = 11/6, 2 + 1/2 = 5/2, 4/2 + 1/2 = 5/2, 2 + 1/2 = 5/2, 2(1/2) = 5/2, 2 + 1/4 = 2(1/4), 8/4 + 1/4 = 9/4, 2 + 1/4 = 9/4, 2(1/4) = 9/4, 9/3 + 2/3 = 11/3, 3 + 2/3 = 11/3, 3(2/3) = 11/3, 16/4 + 3/4 = 19/4, 4 + 3/4 = 19/4, 4(3/4) = 19/4, 3 + 2/5 = 17/5, 4 + 1/2 = 9/2, 3 + 3/4 = 15/4, 3 + 1/6 = 19/6, 3 + 5/8 = 29/8, 3(4/5) = 19/5, 4(7/8) = 39/8.

Question 1.

2 + 1 = 3.

Answer:

3 = 2 + 1.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

3 = 2 + 1.

2 + 1 = 3.

Question 2.

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

Answer:

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

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

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

1 + 1 = 2.

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

Question 3.

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

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.

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

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 5.

4 + 1 = 5.

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.

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

Answer:

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

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

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

3 + 1 = 4.

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

Question 7.

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

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.

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

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 9.

3 + 1 = 4.

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.

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

Answer:

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

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

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

2 + 1 = 3.

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

Question 11.

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

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 12.

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

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 13.

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

Answer:

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

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

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

4 + 1 = 5.

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

Question 14.

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

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 15.

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

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 16.

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

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 17.

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

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 18.

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

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 19.

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

Answer:

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

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

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

3 + 1 = 4.

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

Question 20.

1 + \(\frac{3}{4}\) = \(\frac{7}{4}\)

Answer:

7/4 = 1 + 3/4.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

7/4 = 1 + 3/4.

6 + 1 = 7.

1 + 3/4 = 7/4.

Question 21.

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

Answer:

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

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

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

5 + 1 = 6.

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

Question 22.

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

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 23.

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

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 24.

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

2 + 1/2 = 5/2.

Question 25.

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

Answer:

4/2 = 1/2 + 3/2.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

4/2 = 1/2 + 3/2.

3 + 1 = 4.

1/2 + 3/2 = 4/2.

Question 26.

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

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.

2 + 1/2 = 5/2.

Question 27.

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

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.

2 + 1/2 = 5/2.

Question 28.

2 + \(\frac{1}{4}\) = 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 29.

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

Answer:

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

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

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

7 + 1 = 8.

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

Question 30.

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

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 31.

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

Answer:

9/4 = 2 + 1/4.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

9/4 = 2 + 1/4.

9 + 1 = 10.

2 + 1/4 = 9/4.

Question 32.

\(\frac{9}{3}\) + \(\frac{2}{3}\) = \(\frac{7}{3}\)

Answer:

9/3 = 2/3 + 7/3.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

9/3 = 2/3 + 7/3.

8 + 1 = 9.

2/3 + 7/3 = 9/3.

Question 33.

3 + \(\frac{2}{3}\) = \(\frac{11}{3}\)

Answer:

11/3 = 3 + 2/3.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

11/3 = 3 + 2/3.

10 + 1 = 11.

3 + 2/3 = 11/3.

Question 34.

3\(\frac{2}{3}\) = \(\frac{11}{3}\)

Answer:

11/3 = 3 + 2/3.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

11/3 = 3 + 2/3.

10 + 1 = 11.

3 + 2/3 = 11/3.

Question 35.

\(\frac{16}{4}\) + \(\frac{3}{4}\) = \(\frac{13}{4}\)

Answer:

16/4 = 3/4 + 13/4.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

16/4 = 3/4 + 13/4.

13 + 3 = 16.

3/4 + 13/4 = 16/4.

Question 36.

4 + \(\frac{3}{4}\) = \(\frac{19}{4}\)

Answer:

19/4 = 4 + 3/4.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

19/4 = 4 + 3/4.

10 + 9 = 19.

4 + 3/4 = 19/4.

Question 37.

4\(\frac{3}{4}\) = \(\frac{19}{4}\)

Answer:

19/4 = 4 + 3/4.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

19/4 = 4 + 3/4.

10 + 9 = 19.

4 + 3/4 = 19/4.

Question 38.

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

Answer:

17/5 = 3 + 2/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

17/5 = 3 + 2/5.

10 + 7 = 17.

3 + 2/5 = 17/5.

Question 39.

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

Answer:

9/2 = 4 + 1/2.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

9/2 = 4 + 1/2.

8 + 1 = 9.

4 + 1/2 = 9/2.

Question 40.

3 + \(\frac{3}{4}\) = \(\frac{15}{4}\)

Answer:

15/4 = 3 + 3/4.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

15/4 = 3 + 3/4.

10 + 5 = 15.

3 + 3/4 = 15/4.

Question 41.

3 + \(\frac{1}{6}\) = \(\frac{10}{6}\)

Answer:

10/6 = 3 + 1/6.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

10/6 = 3 + 1/6.

1 + 9 = 10.

3 + 1/6 = 10/6.

Question 42.

3 + \(\frac{5}{8}\) = \(\frac{16}{8}\)

Answer:

16/8 = 3 + 5/8.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

16/8 = 3 + 5/8.

10 + 6 = 16.

3 + 5/8 = 16/8.

Question 43.

3\(\frac{4}{5}\) = \(\frac{19}{5}\)

Answer:

19/5 = 3 + 4/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

19/5 = 3 + 4/5.

10 + 9 = 19.

3 + 4/5 = 19/5.

Question 44.

4\(\frac{7}{8}\) = \(\frac{39}{8}\)

Answer:

39/8 = 4 + 7/8.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

39/8 = 4 + 7/8.

30 + 9 = 39.

4 + 7/8 = 39/8.

B

Change Mixed Numbers to Fractions

Answer:

5 + 1 = 6, 5/5 + 1/5 = 6/5, 1 + 1/5 = 6/5, 1(1/5) = 6/5, 3 + 1 = 4, 3/3 + 1/3 = 4/3, 1 + 1/3 = 2/3, 1(1/3) = 4/3, 4 + 1 = 5, 4/4 + 1/4 = 5/4, 1 + 1/4 = 5/4, 1(1/4) = 5/4, 10/10 + 1/10 = 11/10, 1 + 1/10 = 11/10, 1(1/10) = 11/10, 1(2/10) = 12/10, 1(4/10) = 14/10, 1(3/10) = 13/10, 3/3 + 2/3 = 5/3, 1 + 2/3 = 5/3, 8/8 + 7/8 = 15/8, 1 + 7/8 = 15/8, 1(7/8) = 15/8, 2 + 1/2 = 2(1/2), 4/2 + 1/2 = 5/2, 2 + 1/2 = 3/2, 2(1/2) = 3/2, 2 + 1/3 = 7/3, 6/3 + 1/3 = 7/3, 2 + 1/3 = 7/3, 2(1/3) = 7/3, 12/4 + 3/4 = 15/4, 3 + 3/4 = 15/4, 3(3/4) = 15/4, 12/3 + 2/3 = 13/3, 4 + 2/3 = 6/3, 4(2/3) = 6/3, 3 + 3/5 = 6/5, 5 + 1/2 = 6/2, 3 + 2/3 = 11/3, 3 + 1/8 = 25/8, 3 + 1/6 = 19/6, 3(2/5) = 17/5, 4(5/6) = 29/6.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

5 + 1 = 6, 5/5 + 1/5 = 6/5, 1 + 1/5 = 6/5, 1(1/5) = 6/5, 3 + 1 = 4, 3/3 + 1/3 = 4/3, 1 + 1/3 = 2/3, 1(1/3) = 4/3, 4 + 1 = 5, 4/4 + 1/4 = 5/4, 1 + 1/4 = 5/4, 1(1/4) = 5/4, 10/10 + 1/10 = 11/10, 1 + 1/10 = 11/10, 1(1/10) = 11/10, 1(2/10) = 12/10, 1(4/10) = 14/10, 1(3/10) = 13/10, 3/3 + 2/3 = 5/3, 1 + 2/3 = 5/3, 8/8 + 7/8 = 15/8, 1 + 7/8 = 15/8, 1(7/8) = 15/8, 2 + 1/2 = 2(1/2), 4/2 + 1/2 = 5/2, 2 + 1/2 = 3/2, 2(1/2) = 3/2, 2 + 1/3 = 7/3, 6/3 + 1/3 = 7/3, 2 + 1/3 = 7/3, 2(1/3) = 7/3, 12/4 + 3/4 = 15/4, 3 + 3/4 = 15/4, 3(3/4) = 15/4, 12/3 + 2/3 = 13/3, 4 + 2/3 = 6/3, 4(2/3) = 6/3, 3 + 3/5 = 6/5, 5 + 1/2 = 6/2, 3 + 2/3 = 11/3, 3 + 1/8 = 25/8, 3 + 1/6 = 19/6, 3(2/5) = 17/5, 4(5/6) = 29/6.

Question 1.

5 + 1 = 6.

Answer:

6 = 5 + 1.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

6 = 5 + 1.

5 + 1 = 6.

Question 2.

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

Answer:

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

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

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

4 + 1 = 5.

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

Question 3.

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

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 4.

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

Answer:

6/5 = 1 + 1/5.

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 5.

3 + 1 = 4.

Answer:

4 = 3 + 1.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

4 = 3 + 1.

3 + 1 = 4.

Question 6.

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

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 7.

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

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 8.

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

Answer:

4/3 = 1 + 1/3.

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 9.

4 + 1 = 5.

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.

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

Answer:

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

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

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

4 + 1 = 5.

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

Question 11.

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

Answer:

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

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

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

4 + 1 = 5.

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

Question 12.

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

Answer:

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

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

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

4 + 1 = 5.

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

Question 13.

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

Answer:

10/10 = 1/10 + 9/10.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

10/10 = 1/10 + 9/10.

9 + 1 = 10.

1/10 + 9/10 = 10/10.

Question 14.

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

Answer:

11/10 = 1 + 1/10.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

11/10 = 1 + 1/10.

10 + 1 = 11.

1 + 1/10 = 11/10.

Question 15.

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

Answer:

11/10 = 1 + 1/10.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

11/10 = 1 + 1/10.

10 + 1 = 11.

1 + 1/10 = 11/10.

Question 16.

1\(\frac{2}{10}\) = \(\frac{12}{10}\)

Answer:

12/10 = 1 + 2/10.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

12/10 = 1 + 2/10.

10 + 2 = 12.

1 + 2/10 = 12/10.

Question 17.

1\(\frac{4}{10}\) = \(\frac{14}{10}\)

Answer:

14/10 = 1 + 4/10.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

14/10 = 1 + 4/10.

10 + 4 = 14.

1 + 4/10 = 14/10.

Question 18.

1\(\frac{3}{10}\) = \(\frac{13}{10}\)

Answer:

13/10 = 1 + 3/10.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

13/10 = 1 + 3/10.

10 + 3 = 13.

1 + 3/10 = 13/10.

Question 19.

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

Answer:

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

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

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

2 + 1 = 3.

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

Question 20.

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

Answer:

5/3 = 1 + 2/3.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

5/3 = 1 + 2/3.

4 + 1 = 5.

1 + 2/3 = 5/3.

Question 21.

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

Answer:

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

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

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

7 + 1 = 8.

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

Question 22.

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

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.

1 + 7/8 = 15/8.

Question 23.

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

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.

1 + 7/8 = 15/8.

Question 24.

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

3 + 2 = 5.

2 + 1/2 = 5/2.

Question 25.

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

Answer:

4/2 = 1/2 + 3/2.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

4/2 = 1/2 + 3/2.

3 + 1 = 4.

1/2 + 3/2 = 4/2.

Question 26.

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

Answer:

5/2 = 2 + 1/2.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

5/2 = 2 + 1/2.

3 + 2 = 5.

2 + 1/2 = 5/2.

Question 27.

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

Answer:

5/2 = 2 + 1/2.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

5/2 = 2 + 1/2.

3 + 2 = 5.

2 + 1/2 = 5/2.

Question 28.

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

2 + 1/3 = 7/3.

Question 29.

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

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.

2 + 1/3 = 7/3.

Question 30.

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

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.

2 + 1/3 = 7/3.

Question 31.

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

Answer:

7/3 = 2 + 1/3.

In the above-given question,

given that,

change mixed numbers to fractions.

7/3 = 2 + 1/3.

5 + 2 = 7.

2 + 1/3 = 7/3.

Question 32.

\(\frac{12}{4}\) + \(\frac{3}{4}\) = \(\frac{9}{4}\)

Answer:

12/4 = 3/4 + 9/4.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

12/4 = 3/4 + 9/4.

9 + 3 = 12.

3/4 + 9/4 = 12/4.

Question 33.

3 + \(\frac{3}{4}\) = \(\frac{15}{4}\)

Answer:

15/4 = 3 + 3/4.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

15/4 = 3 + 3/4.

12 + 3 = 5.

3 + 3/4 = 15/4.

Question 34.

3\(\frac{3}{4}\) = \(\frac{15}{4}\)

Answer:

15/4 = 3 + 3/4.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

15/4 = 3 + 3/4.

12 + 3 = 5.

3 + 3/4 = 15/4.

Question 35.

\(\frac{12}{3}\) + \(\frac{2}{3}\) = \(\frac{14}{3}\)

Answer:

14/3 = 12/3 + 2/3.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

14/3 = 12/3 + 2/3.

12 + 2 = 14.

2/3 + 12/3 = 14/3.

Question 36.

4 + \(\frac{2}{3}\) = \(\frac{14}{3}\)

Answer:

14/3 = 12/3 + 2/3.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

14/3 = 12/3 + 2/3.

12 + 2 = 14.

2/3 + 12/3 = 14/3.

Question 37.

4\(\frac{3}{4}\) = \(\frac{19}{4}\)

Answer:

19/4 = 4 + 3/4.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

19/4 = 4 + 3/4.

17 + 2 = 19.

4 + 3/4 = 19/4.

Question 38.

3 + \(\frac{3}{5}\) = \(\frac{18}{5}\)

Answer:

18/5 = 3 + 3/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

18/5 = 3 + 3/5.

16 + 2 = 18.

3 + 3/5 = 18/5.

Question 39.

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

Answer:

11/2 = 5 + 1/2.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

11/2 = 5 + 1/2.

10 + 1 = 11.

5 + 1/2 = 11/2.

Question 40.

3 + \(\frac{2}{3}\) = \(\frac{11}{3}\)

Answer:

11/2 = 5 + 1/2.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

11/2 = 5 + 1/2.

10 + 1 = 11.

5 + 1/2 = 11/2.

Question 41.

3 + \(\frac{1}{8}\) = \(\frac{25}{8}\)

Answer:

25/8 = 3 + 1/8.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

25/8 = 3 + 1/8.

20 + 5 = 25.

3 + 1/8 = 25/8.

Question 42.

3 + \(\frac{1}{6}\) = \(\frac{19}{6}\)

Answer:

19/6 = 3 + 1/6.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

19/6 = 3 + 1/6.

10 + 9 = 19.

3 + 1/6 = 19/6.

Question 43.

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

Answer:

17/5 = 3 + 2/5.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

17/5 = 3 + 2/5.

10 + 7 = 17.

3 + 2/5 = 17/5.

Question 44.

4\(\frac{5}{6}\) = \(\frac{29}{6}\)

Answer:

29/6 = 4 + 5/6.

Explanation:

In the above-given question,

given that,

change mixed numbers to fractions.

29/6 = 4 + 5/6.

20 + 9 = 29.

4 + 5/6 = 29/6.

## Eureka Math Grade 4 Module 5 Lesson 33 Problem Set Answer Key

Question 1.

Write a related addition sentence. Subtract by counting on. Use a number line or the arrow way to help. The first one has been partially done for you.

a. 3\(\frac{1}{3}\) – 1 \(\frac{2}{3}\) = _____

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

Answer:

3(1/3) – 1(2/3) = 1(2/3).

Explanation:

In the above-given question,

given that,

decomposing the fractional part of the number you are subtracting.

3(1/3) – 1(2/3).

2(1/3) – 2/3.

1(2/3).

b. 5\(\frac{1}{4}\) – 2\(\frac{3}{4}\) = __2(2/4)____

Answer:

5(1/4) – 2(3/4) = 2(2/4).

Explanation:

In the above-given question,

given that,

decomposing the fractional part of the number you are subtracting.

5(1/4) – 2(3/4).

3(1/4) – 3/4.

2(2/4).

Question 2.

Subtract, as shown in Problem 2(a), by decomposing the fractional part of the number you are subtracting. Use a number line or the arrow way to help you.

Answer:

3(1/4) – 1(3/4) = 1(2/4).

Explanation:

In the above-given question,

given that,

decomposing the fractional part of the number you are subtracting.

3(1/4) – 1(3/4).

2(1/4) – 3/4.

1(2/4).

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

Answer:

4(1/5) – 2(4/5) = 1(2/5).

Explanation:

In the above-given question,

given that,

decomposing the fractional part of the number you are subtracting.

4(1/5) – 2(4/5).

2(1/5) – 4/5.

1(2/5).

c. 5\(\frac{3}{7}\) – 3\(\frac{6}{7}\)

Answer:

5(3/7) – 3(6/7) = 1(4/7).

Explanation:

In the above-given question,

given that,

decomposing the fractional part of the number you are subtracting.

5(3/7) – 3(6/7).

2(3/7) – 6/7.

1(4/7).

Question 3.

Subtract, as shown in Problem 3(a), by decomposing to take one out.

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

Answer:

4(3/6) – 3(5/6) = 1(1/3).

Explanation:

In the above-given question,

given that,

decomposing the fractional part of the number you are subtracting.

4(3/6) – 3(5/6).

1(3/6) – 5/6.

1(1/3).

c. 8\(\frac{3}{10}\) – 2\(\frac{7}{10}\)

Answer:

8(3/10) – 2(7/10) = 5(4/10).

Explanation:

In the above-given question,

given that,

decomposing the fractional part of the number you are subtracting.

8(3/10) – 2(7/10).

6(3/10) – 7/10.

5(4/10).

Question 4.

Solve using any method.

a. 6\(\frac{1}{4}\) – 3\(\frac{3}{4}\)

Answer:

6(1/4) – 3(3/4) = 10/4.

Explanation:

In the above-given question,

given that,

subtract the ones first.

6(1/4) – 3(3/4).

6 x 4 = 24.

3 x 4 = 12.

24 + 1/4 = 25/4.

12 + 3/4 = 15/4.

25/4 – 15/4 = 10/4.

b. 5\(\frac{1}{8}\) – 2\(\frac{7}{8}\)

Answer:

5(1/8) – 2(7/8) = 18/8.

Explanation:

In the above-given question,

given that,

subtract the ones first.

5(1/8) – 2(7/8).

5 x 8 = 40.

2 x 8 = 16.

40 + 1/8 = 41/8.

16 + 7/8 = 23/8.

41/8 – 23/8 = 18/8.

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).

8 x 12 = 96.

12 x 3 = 36.

96 + 3/12 = 99/12.

36 + 8/12 = 44/12.

99/12 – 44/12 = 55/12.

d. 5\(\frac{1}{100}\) – 2\(\frac{97}{100}\)

Answer:

5(1/100) – 2(97/100) = 204/100.

Explanation:

In the above-given question,

given that,

subtract the ones first.

5(1/100) – 2(97/100).

5 x 100 = 500.

100 x 2 = 200.

500 + 1/100 = 501/100.

200 + 97/100 = 297/100.

501/100 – 297/100 = 204/100.

### Eureka Math Grade 4 Module 5 Lesson 33 Exit Ticket Answer Key

Solve using any strategy.

Question 1.

4\(\frac{2}{3}\) – 2\(\frac{1}{3}\)

Answer:

4(2/3) – 2(1/3) = 7/3.

Explanation:

In the above-given question,

given that,

subtract the ones first.

4(2/3) – 2(1/3).

4 x 3 = 12.

3 x 2 = 6.

12 + 2/3 = 14/3.

6 + 1/3 = 7/3.

14/3 – 7/3 = 7/3.

Question 2.

12\(\frac{5}{8}\) – 8\(\frac{7}{8}\)

Answer:

12(5/8) – 8(7/8) = 30/8.

Explanation:

In the above-given question,

given that,

subtract the ones first.

12(5/8) – 8(7/8).

12 x 8 = 96.

8 x 8 = 64.

96 + 5/8 = 101/8.

64 + 7/8 = 71/8.

101/8 – 71/8 = 30/8.

Eureka Math Grade 4 Module 5 Lesson 33 Homework Answer Key

Question 1.

Write a related addition sentence. Subtract by counting on. Use a number line or the arrow way to help. The first one has been partially done for you.

a. 3\(\frac{2}{5}\) – 1\(\frac{4}{5}\) = ___1(3/5)___

1\(\frac{4}{5}\) + _2/5___ = 3\(\frac{2}{5}\)

Answer:

3(2/5) – 1(4/5) = 1(3/5).

Explanation:

In the above-given question,

given that,

decomposing the fractional part of the number you are subtracting.

3(2/5) – 1(4/5).

2(2/5) – 4/5.

1(3/5).

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

Answer:

5(3/8) – 2(5/8) = 2(5/8).

Explanation:

In the above-given question,

given that,

decomposing the fractional part of the number you are subtracting.

5(3/8) – 2(5/8).

3(3/8) – 5/8.

2(5/8).

Question 2.

Subtract, as shown in Problem 2(a) below, by decomposing the fractional part of the number you are subtracting. Use a number line or the arrow way to help you.

b. 4\(\frac{1}{7}\) – 2\(\frac{4}{7}\)

Answer:

4(1/7) – 2(4/7) = 1(4/7).

Explanation:

In the above-given question,

given that,

decomposing the fractional part of the number you are subtracting.

4(1/7) – 2(4/7).

2(1/7) – 4/7.

1(4/7).

c. 5\(\frac{5}{12}\) – 3\(\frac{8}{12}\)

Answer:

5(5/12) – 3(8/12) = 1(9/12).

Explanation:

In the above-given question,

given that,

decomposing the fractional part of the number you are subtracting.

5(5/12) – 3(8/12).

2(5/12) – 8/12.

1(9/12).

Question 3.

Subtract, as shown in 3(a) below, by decomposing to take one out.

b. 4\(\frac{3}{12}\) – 3\(\frac{8}{12}\)

Answer:

4(3/12) – 3(8/12) = 2(4/12).

Explanation:

In the above-given question,

given that,

decomposing the fractional part of the number you are subtracting.

4(3/12) – 3(8/12).

1(3/12) – 8/12.

2(4/12).

c. 9\(\frac{1}{10}\) – 6\(\frac{9}{10}\)

Answer:

9(1/10) – 6(9/10) = 2(2/10).

Explanation:

In the above-given question,

given that,

decomposing the fractional part of the number you are subtracting.

9(1/10) – 6(9/10).

3(1/10) – 9/10.

2(2/10).

Question 4.

Solve using any strategy.

a. 6\(\frac{1}{9}\) – 4\(\frac{3}{9}\)

Answer:

6(1/9) – 4(3/9) = 16/9.

Explanation:

In the above-given question,

given that,

subtract the ones first.

6(1/9) – 4(3/9).

6 x 9 = 54.

4 x 9 = 36.

54 + 1/9 = 55/9.

36 + 3/9 = 39/9.

55/9 – 39/9 = 16/9.

b. 5\(\frac{3}{10}\) – 3\(\frac{6}{10}\)

Answer:

5(3/10) – 3(6/10) = 17/10.

Explanation:

In the above-given question,

given that,

subtract the ones first.

5(3/10) – 3(6/10).

5 x 10 = 50.

3 x 10 = 30.

50 + 3/10 = 53/10.

30 + 6/10 = 36/10.

53/10 – 36/10 = 17/10.

c. 8\(\frac{7}{12}\) – 5\(\frac{9}{12}\)

Answer:

8(7/12) – 5(9/12) = 34/12.

Explanation:

In the above-given question,

given that,

subtract the ones first.

8(7/12) – 5(9/12).

8 x 12 = 96.

5 x 12 = 60.

96 + 7/12 = 103/12.

60 + 9/12 = 69/12.

103/12 – 69/12 = 34/12.

d. 7\(\frac{4}{100}\) – 2\(\frac{92}{100}\)

Answer:

7(4/100) – 2(92/100) = 412/100.

Explanation:

In the above-given question,

given that,

subtract the ones first.

7(4/100) – 2(92/100).

7 x 100 = 700.

2 x 100 = 200.

700 + 4/100 = 704/100.

200 + 92/100 = 292/100.

704/100 – 292/100 = 412/100.