## Engage NY Eureka Math 4th Grade Module 5 Lesson 25 Answer Key

### Eureka Math Grade 4 Module 5 Lesson 25 Problem Set Answer Key

Question 1.

Convert each mixed number to a fraction greater than 1. Draw a number line to model your work.

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

Answer:

3(1/4) = 13/4.

Explanation:

In the above-given question,

given that,

3(1/4).

3 + 1/4.

12/4 + 1/4.

13/4.

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

Answer:

2(4/5) = 14/5.

Explanation:

In the above-given question,

given that,

2(4/5).

2 + 4/5.

10/5 + 4/5.

14/5.

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

Answer:

3(5/8) = 29/8.

Explanation:

In the above-given question,

given that,

3(5/8).

3 + 5/8.

24/8 + 5/8.

29/8.

d. 4\(\frac{4}{10}\)

Answer:

4(4/10) = 44/10.

Explanation:

In the above-given question,

given that,

4(4/10).

4 + 4/10.

40/10 + 4/10.

44/10.

e. 4\(\frac{7}{9}\)

Answer:

4(7/9) = 43/9.

Explanation:

In the above-given question,

given that,

4(7/9).

4 + 7/9.

36/9 + 7/9.

43/9.

Question 2.

Convert each mixed number to a fraction greater than 1. Show your work as in the example.

(Note: 3 Ã— \(\frac{4}{4}\) = \(\frac{3 \times 4}{4}\))

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

3\(\frac{3}{4}\) = 3 + \(\frac{3}{4}\) = (3 Ã— \(\frac{3}{4}\)) + \(\frac{3}{4}\) = \(\frac{12}{4}\) + \(\frac{3}{4}\) = \(\frac{15}{4}\)

Answer:

3(3/4) = 15/4.

Explanation:

In the above-given question,

given that,

convert each mixed number to a fraction greater than 1.

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

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

\(\frac{15}{4}\).

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

Answer:

4(1/3) = 13/3.

Explanation:

In the above-given question,

given that,

convert each mixed number to a fraction greater than 1.

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

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

\(\frac{13}{3}\).

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

Answer:

4(3/5) = 23/5.

Explanation:

In the above-given question,

given that,

convert each mixed number to a fraction greater than 1.

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

(4 Ã— \(\frac{3}{5}\)) + \(\frac{3}{5}\) = \(\frac{20}{5}\) + \(\frac{3}{5}\).

\(\frac{23}{5}\).

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

Answer:

4(6/8) = 38/8.

Explanation:

In the above-given question,

given that,

convert each mixed number to a fraction greater than 1.

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

(4 Ã— \(\frac{6}{8}\)) + \(\frac{6}{8}\) = \(\frac{32}{8}\) + \(\frac{6}{8}\).

\(\frac{38}{8}\).

Question 3.

Convert each mixed number to a fraction greater than 1.

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

Answer:

2(3/4) = 11/4.

Explanation:

In the above-given question,

given that,

2(3/4).

2 + 3/4.

8/4 + 3/4.

11/4.

b. 2\(\frac{2}{5}\)

Answer:

2(2/5) = 12/5.

Explanation:

In the above-given question,

given that,

2(2/5).

2 + 2/5.

10/5 + 2/5.

12/5.

c. 3\(\frac{3}{6}\)

Answer:

3(3/6) = 21/6.

Explanation:

In the above-given question,

given that,

3(3/6).

3 + 3/6.

18/6 + 3/6.

21/6.

d. 3\(\frac{3}{8}\)

Answer:

3(3/8) = 27/8.

Explanation:

In the above-given question,

given that,

3(3/8).

3 + 3/8.

24/8 + 3/8.

27/8.

e. 3\(\frac{1}{10}\)

Answer:

3(1/10) = 31/10.

Explanation:

In the above-given question,

given that,

3(1/10).

3 + 1/10.

30/10 + 1/10.

31/10.

f. 4\(\frac{3}{8}\)

Answer:

4(3/8) = 35/8.

Explanation:

In the above-given question,

given that,

4(3/8).

4 + 3/8.

32/8 + 3/8.

35/8.

g. 5\(\frac{2}{3}\)

Answer:

5(2/3) = 17/3.

Explanation:

In the above-given question,

given that,

5(2/3).

5 + 2/3.

15/3 + 2/3.

17/3.

h. 6\(\frac{1}{2}\)

Answer:

6(1/2) = 13/2.

Explanation:

In the above-given question,

given that,

6(1/2).

6 + 1/2.

12/2 + 1/2.

13/2.

i. 7\(\frac{3}{10}\)

Answer:

7(3/10) = 73/10.

Explanation:

In the above-given question,

given that,

7(3/10).

7 + 3/10.

70/10 + 3/10.

73/10.

### Eureka Math Grade 4 Module 5 Lesson 25 Exit Ticket Answer Key

Convert each mixed number to a fraction greater than 1.

Question 1.

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

Answer:

3(1/5) = 16/5.

Explanation:

In the above-given question,

given that,

3(1/5).

3 + 1/5.

15/5 + 1/5.

16/5.

Question 2.

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

Answer:

2(3/5) = 13/5.

Explanation:

In the above-given question,

given that,

2(3/5).

2 + 3/5.

10/5 + 3/5.

13/5.

Question 3.

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

Answer:

4(2/9) = 38/9.

Explanation:

In the above-given question,

given that,

4(2/9).

4 + 2/9.

36/9 + 2/9.

38/9.

### Eureka Math Grade 4 Module 5 Lesson 25 Homework Answer Key

Question 1.

Convert each mixed number to a fraction greater than 1. Draw a number line to model your work.

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

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

Answer:

4(2/5) = 22/5.

Explanation:

In the above-given question,

given that,

4(2/5).

4 + 2/5.

20/5 + 2/5.

22/5.

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

Answer:

5(3/8) = 43/8.

Explanation:

In the above-given question,

given that,

5(3/8).

5 + 3/8.

40/8 + 3/8.

43/8.

d. 3\(\frac{7}{10}\)

Answer:

3(7/10) = 37/10.

Explanation:

In the above-given question,

given that,

3(7/10).

3 + 7/10.

30/10 + 7/10.

37/10.

e. 6\(\frac{2}{9}\)

Answer:

6(2/9) = 56/9.

Explanation:

In the above-given question,

given that,

6(2/9).

6 + 2/9.

54/9 + 2/9.

56/9.

Question 2.

Convert each mixed number to a fraction greater than 1. Show your work as in the example.

(Note: 3 Ã— \(\frac{4}{4}\) = \(\frac{3 \times 4}{4}\).)

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

3\(\frac{3}{4}\) = 3 + \(\frac{3}{4}\) = (3 Ã— \(\frac{4}{4}\)) + \(\frac{3}{4}\) = \(\frac{12}{4}\) + \(\frac{3}{4}\) = \(\frac{15}{4}\)

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

Answer:

5(2/3) = 17/3.

Explanation:

In the above-given question,

given that,

convert each mixed number to a fraction greater than 1.

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

(5 Ã— \(\frac{2}{3}\)) + \(\frac{2}{3}\) = \(\frac{15}{3}\) + \(\frac{2}{3}\).

\(\frac{17}{3}\).

c. 4\(\frac{1}{5}\)

Answer:

4(1/5) = 21/5.

Explanation:

In the above-given question,

given that,

convert each mixed number to a fraction greater than 1.

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

(4 Ã— \(\frac{1}{5}\)) + \(\frac{1}{5}\) = \(\frac{20}{5}\) + \(\frac{1}{5}\).

\(\frac{21}{5}\).

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

Answer:

3(7/8) = 31/8.

Explanation:

In the above-given question,

given that,

convert each mixed number to a fraction greater than 1.

3\(\frac{7}{8}\) = 3 + \(\frac{7}{8}\).

(3 Ã— \(\frac{7}{8}\)) + \(\frac{7}{8}\) = \(\frac{24}{8}\) + \(\frac{7}{8}\).

\(\frac{31}{8}\).

Question 3.

Convert each mixed number to a fraction greater than 1.

a. 2\(\frac{1}{3}\)

Answer:

2(1/3) = 7/3.

Explanation:

In the above-given question,

given that,

convert each mixed number to a fraction greater than 1.

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

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

\(\frac{7}{3}\).

b. 2\(\frac{3}{4}\)

Answer:

2(3/4) = 11/4.

Explanation:

In the above-given question,

given that,

convert each mixed number to a fraction greater than 1.

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

(2 Ã— \(\frac{3}{4}\)) + \(\frac{3}{4}\) = \(\frac{10}{4}\) + \(\frac{3}{4}\).

\(\frac{11}{4}\).

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

Answer:

3(2/5) = 17/5.

Explanation:

In the above-given question,

given that,

convert each mixed number to a fraction greater than 1.

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

(3 Ã— \(\frac{2}{5}\)) + \(\frac{2}{5}\) = \(\frac{15}{5}\) + \(\frac{2}{5}\).

\(\frac{17}{5}\).

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

Answer:

3(1/6) = 19/6.

Explanation:

In the above-given question,

given that,

convert each mixed number to a fraction greater than 1.

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

(3 Ã— \(\frac{1}{6}\)) + \(\frac{1}{6}\) = \(\frac{18}{6}\) + \(\frac{1}{6}\).

\(\frac{19}{6}\).

e. 4\(\frac{5}{12}\)

Answer:

4(5/12) = 53/12.

Explanation:

In the above-given question,

given that,

convert each mixed number to a fraction greater than 1.

4\(\frac{5}{12}\) = 4 + \(\frac{5}{12}\).

(4 Ã— \(\frac{5}{12}\)) + \(\frac{5}{12}\) = \(\frac{48}{12}\) + \(\frac{5}{12}\).

\(\frac{53}{12}\).

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

Answer:

4(2/5) = 22/5.

Explanation:

In the above-given question,

given that,

convert each mixed number to a fraction greater than 1.

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

(4 Ã— \(\frac{2}{5}\)) + \(\frac{2}{5}\) = \(\frac{20}{5}\) + \(\frac{2}{5}\).

\(\frac{22}{5}\).

g. 4\(\frac{1}{10}\)

Answer:

4(1/10) = 41/10.

Explanation:

In the above-given question,

given that,

convert each mixed number to a fraction greater than 1.

4\(\frac{1}{10}\) = 4 + \(\frac{1}{10}\).

(4 Ã— \(\frac{1}{10}\)) + \(\frac{1}{10}\) = \(\frac{40}{10}\) + \(\frac{1}{10}\).

\(\frac{41}{10}\).

h. 5\(\frac{1}{5}\)

Answer:

5(1/5) = 26/5.

Explanation:

In the above-given question,

given that,

convert each mixed number to a fraction greater than 1.

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

(5 Ã— \(\frac{1}{5}\)) + \(\frac{1}{5}\) = \(\frac{25}{5}\) + \(\frac{1}{5}\).

\(\frac{26}{5}\).

i. 5\(\frac{5}{6}\)

Answer:

5(5/6) = 35/6.

Explanation:

In the above-given question,

given that,

convert each mixed number to a fraction greater than 1.

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

(5 Ã— \(\frac{5}{6}\)) + \(\frac{5}{6}\) = \(\frac{30}{6}\) + \(\frac{5}{6}\).

\(\frac{35}{6}\).

j. 6\(\frac{1}{4}\)

Answer:

6(1/4) = 25/4.

Explanation:

In the above-given question,

given that,

convert each mixed number to a fraction greater than 1.

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

(6 Ã— \(\frac{1}{4}\)) + \(\frac{1}{4}\) = \(\frac{24}{4}\) + \(\frac{1}{4}\).

\(\frac{25}{4}\).

k. 7\(\frac{1}{2}\)

Answer:

7(1/2) = 15/2.

Explanation:

In the above-given question,

given that,

convert each mixed number to a fraction greater than 1.

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

(7 Ã— \(\frac{1}{2}\)) + \(\frac{1}{2}\) = \(\frac{14}{2}\) + \(\frac{1}{2}\).

\(\frac{15}{2}\).

l. 7\(\frac{11}{12}\)

Answer:

7(11/12) = 95/12.

Explanation:

In the above-given question,

given that,

convert each mixed number to a fraction greater than 1.

7\(\frac{11}{12}\) = 7 + \(\frac{11}{12}\).

(7 Ã— \(\frac{11}{12}\)) + \(\frac{11}{12}\) = \(\frac{84}{12}\) + \(\frac{11}{12}\).

\(\frac{95}{12}\).