## 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$$\frac{1}{4}$$ 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$$\frac{4}{5}$$

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$$\frac{5}{8}$$

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$$\frac{4}{10}$$

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$$\frac{7}{9}$$

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 × $$\frac{4}{4}$$ = $$\frac{3 \times 4}{4}$$)
a. 3$$\frac{3}{4}$$
3$$\frac{3}{4}$$ = 3 + $$\frac{3}{4}$$ = (3 × $$\frac{3}{4}$$) + $$\frac{3}{4}$$ = $$\frac{12}{4}$$ + $$\frac{3}{4}$$ = $$\frac{15}{4}$$

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 × $$\frac{3}{4}$$) + $$\frac{3}{4}$$ = $$\frac{12}{4}$$ + $$\frac{3}{4}$$.
$$\frac{15}{4}$$.

b. 4$$\frac{1}{3}$$

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 × $$\frac{1}{3}$$) + $$\frac{1}{3}$$ = $$\frac{12}{3}$$ + $$\frac{1}{3}$$.
$$\frac{13}{3}$$.

c. 4$$\frac{3}{5}$$

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 × $$\frac{3}{5}$$) + $$\frac{3}{5}$$ = $$\frac{20}{5}$$ + $$\frac{3}{5}$$.
$$\frac{23}{5}$$.

d. 4$$\frac{6}{8}$$

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 × $$\frac{6}{8}$$) + $$\frac{6}{8}$$ = $$\frac{32}{8}$$ + $$\frac{6}{8}$$.
$$\frac{38}{8}$$.

Question 3.
Convert each mixed number to a fraction greater than 1.
a. 2$$\frac{3}{4}$$

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$$\frac{2}{5}$$

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$$\frac{3}{6}$$

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$$\frac{3}{8}$$

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$$\frac{1}{10}$$

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$$\frac{3}{8}$$

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$$\frac{2}{3}$$

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$$\frac{1}{2}$$

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$$\frac{3}{10}$$

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$$\frac{1}{5}$$

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$$\frac{3}{5}$$

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$$\frac{2}{9}$$

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$$\frac{2}{5}$$

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$$\frac{3}{8}$$

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$$\frac{7}{10}$$

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$$\frac{2}{9}$$

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 × $$\frac{4}{4}$$ = $$\frac{3 \times 4}{4}$$.)

a. 3$$\frac{3}{4}$$
3$$\frac{3}{4}$$ = 3 + $$\frac{3}{4}$$ = (3 × $$\frac{4}{4}$$) + $$\frac{3}{4}$$ = $$\frac{12}{4}$$ + $$\frac{3}{4}$$ = $$\frac{15}{4}$$

b. 5$$\frac{2}{3}$$

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 × $$\frac{2}{3}$$) + $$\frac{2}{3}$$ = $$\frac{15}{3}$$ + $$\frac{2}{3}$$.
$$\frac{17}{3}$$.

c. 4$$\frac{1}{5}$$

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 × $$\frac{1}{5}$$) + $$\frac{1}{5}$$ = $$\frac{20}{5}$$ + $$\frac{1}{5}$$.
$$\frac{21}{5}$$.

d. 3$$\frac{7}{8}$$

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 × $$\frac{7}{8}$$) + $$\frac{7}{8}$$ = $$\frac{24}{8}$$ + $$\frac{7}{8}$$.
$$\frac{31}{8}$$.

Question 3.
Convert each mixed number to a fraction greater than 1.
a. 2$$\frac{1}{3}$$

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 × $$\frac{1}{3}$$) + $$\frac{1}{3}$$ = $$\frac{6}{3}$$ + $$\frac{1}{3}$$.
$$\frac{7}{3}$$.

b. 2$$\frac{3}{4}$$

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 × $$\frac{3}{4}$$) + $$\frac{3}{4}$$ = $$\frac{10}{4}$$ + $$\frac{3}{4}$$.
$$\frac{11}{4}$$.

c. 3$$\frac{2}{5}$$

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 × $$\frac{2}{5}$$) + $$\frac{2}{5}$$ = $$\frac{15}{5}$$ + $$\frac{2}{5}$$.
$$\frac{17}{5}$$.

d. 3$$\frac{1}{6}$$

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 × $$\frac{1}{6}$$) + $$\frac{1}{6}$$ = $$\frac{18}{6}$$ + $$\frac{1}{6}$$.
$$\frac{19}{6}$$.

e. 4$$\frac{5}{12}$$

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 × $$\frac{5}{12}$$) + $$\frac{5}{12}$$ = $$\frac{48}{12}$$ + $$\frac{5}{12}$$.
$$\frac{53}{12}$$.

f. 4$$\frac{2}{5}$$

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 × $$\frac{2}{5}$$) + $$\frac{2}{5}$$ = $$\frac{20}{5}$$ + $$\frac{2}{5}$$.
$$\frac{22}{5}$$.

g. 4$$\frac{1}{10}$$

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 × $$\frac{1}{10}$$) + $$\frac{1}{10}$$ = $$\frac{40}{10}$$ + $$\frac{1}{10}$$.
$$\frac{41}{10}$$.

h. 5$$\frac{1}{5}$$

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 × $$\frac{1}{5}$$) + $$\frac{1}{5}$$ = $$\frac{25}{5}$$ + $$\frac{1}{5}$$.
$$\frac{26}{5}$$.

i. 5$$\frac{5}{6}$$

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 × $$\frac{5}{6}$$) + $$\frac{5}{6}$$ = $$\frac{30}{6}$$ + $$\frac{5}{6}$$.
$$\frac{35}{6}$$.

j. 6$$\frac{1}{4}$$

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 × $$\frac{1}{4}$$) + $$\frac{1}{4}$$ = $$\frac{24}{4}$$ + $$\frac{1}{4}$$.
$$\frac{25}{4}$$.

k. 7$$\frac{1}{2}$$

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 × $$\frac{1}{2}$$) + $$\frac{1}{2}$$ = $$\frac{14}{2}$$ + $$\frac{1}{2}$$.
$$\frac{15}{2}$$.

l. 7$$\frac{11}{12}$$

7$$\frac{11}{12}$$ = 7 + $$\frac{11}{12}$$.
(7 × $$\frac{11}{12}$$) + $$\frac{11}{12}$$ = $$\frac{84}{12}$$ + $$\frac{11}{12}$$.
$$\frac{95}{12}$$.