## Engage NY Eureka Math 4th Grade Module 5 Lesson 23 Answer Key

### Eureka Math Grade 4 Module 5 Lesson 24 Problem Set Answer Key

Question 1.
Rename each fraction as a mixed number by decomposing it into two parts as shown below. Model the decomposition with a number line and a number bond.

a. $$\frac{11}{3}$$

11/3 = 3(2/3).

Explanation:
In the above-given question,
given that,
Rename each fraction as a mixed number by decomposing.
11/3 = 9/3 + 2/3.
3 + 2/3.
3(2/3).

b. $$\frac{12}{5}$$

12/5 = 2(2/5).

Explanation:
In the above-given question,
given that,
Rename each fraction as a mixed number by decomposing.
12/5 = 10/5 + 2/5.
2 + 2/5.
2(2/5).

c. $$\frac{13}{2}$$

13/2 = 5(3/2).

Explanation:
In the above-given question,
given that,
Rename each fraction as a mixed number by decomposing.
13/2 = 10/2 + 3/2.
5 + 3/2.
5(3/2).

d. $$\frac{15}{4}$$

15/4 = 3(3/4).

Explanation:
In the above-given question,
given that,
Rename each fraction as a mixed number by decomposing.
15/4 = 12/4 + 3/4.
3 + 3/4.
3(3/4).

Question 2.
Convert each fraction to a mixed number. Show your work as in the example. Model with a number line.
a. $$\frac{11}{3}$$

11/3 = 3(2/3).

Explanation:
In the above-given question,
given that,
convert each fraction to a mixed number.
11/3 = 9/3 + 2/3.
3 + 2/3.
3(2/3).

b. $$\frac{9}{2}$$

9/2 = 4(1/2).

Explanation:
In the above-given question,
given that,
convert each fraction to a mixed number.
9/2 = 8/2 + 1/2.
4 + 1/2.
4(1/2).

c. $$\frac{17}{4}$$

17/4 = 4(1/4).

Explanation:
In the above-given question,
given that,
convert each fraction to a mixed number.
17/4 = 16/4 + 1/4.
4 + 1/4.
4(1/4).

Question 3.
Convert each fraction to a mixed number.
a. $$\frac{9}{4}$$ = 2(1/4).

9/4 = 2(1/4).

Explanation:
In the above-given question,
given that,
convert each fraction to a mixed number.
9/4 = 8/4 + 1/4.
2 + 1/4.
2(1/4).

b. $$\frac{17}{5}$$ = 3(2/5).

17/5 = 3(2/5).

Explanation:
In the above-given question,
given that,
convert each fraction to a mixed number.
17/5 = 15/5 + 2/5.
3 + 2/5.
3(2/5).

c. $$\frac{25}{6}$$ = 4(1/6).

25/6 = 4(1/6).

Explanation:
In the above-given question,
given that,
convert each fraction to a mixed number.
25/6 = 24/6 + 1/6.
4 + 1/6.
4(1/6).

d. $$\frac{30}{7}$$ = 4(2/7).

30/7 = 4(2/7).

Explanation:
In the above-given question,
given that,
convert each fraction to a mixed number.
30/7 = 28/7 + 2/7.
4 + 2/7.
4(2/7).

e. $$\frac{38}{8}$$ = 4(6/8).

38/8 = 4(6/8).

Explanation:
In the above-given question,
given that,
convert each fraction to a mixed number.
38/8 = 32/8 + 6/8.
4 + 6/8.
4(6/8).

f. $$\frac{48}{9}$$ = 5(3/9)

48/9 = 5(3/9).

Explanation:
In the above-given question,
given that,
convert each fraction to a mixed number.
48/9 = 45/9 + 3/9.
5 + 3/9.
5(3/9).

g. $$\frac{63}{10}$$ = 6(3/10).

63/10 = 6(3/10).

Explanation:
In the above-given question,
given that,
convert each fraction to a mixed number.
63/10 = 60/10 + 3/10.
6 + 3/10.
6(3/10).

h. $$\frac{84}{10}$$ = 8(4/10).

84/10 = 8(4/10).

Explanation:
In the above-given question,
given that,
convert each fraction to a mixed number.
84/10 = 80/10 + 4/10.
8 + 4/10.
8(4/10).

i. $$\frac{37}{12}$$ = 3(1/12).

37/12 = 3(1/12).

Explanation:
In the above-given question,
given that,
convert each fraction to a mixed number.
37/12 = 36/12 + 1/12.
3 + 1/12.
3(1/12).

### Eureka Math Grade 4 Module 5 Lesson 24 Exit Ticket Answer Key

Question 1.
Rename the fraction as a mixed number by decomposing it into two parts. Model the decomposition with a number line and a number bond.
$$\frac{17}{5}$$

17/5 = 3(2/5).

Explanation:
In the above-given question,
given that,
Rename each fraction as a mixed number by decomposing.
17/5 = 15/5 + 2/5.
3 + 2/5.
3(2/5).

Question 2.
Convert the fraction to a mixed number. Model with a number line.
$$\frac{19}{3}$$

19/3 = 6(1/3).

Explanation:
In the above-given question,
given that,
convert each fraction to a mixed number.
19/3 = 18/3 + 1/3.
6 + 1/3.
6(1/3).

Question 3.
Convert the fraction to a mixed number.
$$\frac{11}{4}$$

11/4 = 2(3/4).

Explanation:
In the above-given question,
given that,
convert each fraction to a mixed number.
11/4 = 8/4 + 3/4.
2 + 3/4.
2(3/4).

### Eureka Math Grade 4 Module 5 Lesson 24 Homework Answer Key

Question 1.
Rename each fraction as a mixed number by decomposing it into two parts as shown below. Model the decomposition with a number line and a number bond.

a. $$\frac{11}{3}$$

11/3 = 3(2/3).

Explanation:
In the above-given question,
given that,
Rename each fraction as a mixed number by decomposing.
11/3 = 9/3 + 2/3.
3 + 2/3.
3(2/3).

b. $$\frac{13}{4}$$

13/4 = 3(1/4).

Explanation:
In the above-given question,
given that,
Rename each fraction as a mixed number by decomposing.
13/4 = 12/4 + 1/4.
3 + 1/4.
3(1/4).

c. $$\frac{16}{5}$$

16/5 = 3(1/5).

Explanation:
In the above-given question,
given that,
Rename each fraction as a mixed number by decomposing.
16/5 = 15/5 + 1/5.
3 + 1/5.
3(1/5).

d. $$\frac{15}{2}$$

15/2 = 7(1/2).

Explanation:
In the above-given question,
given that,
Rename each fraction as a mixed number by decomposing.
15/2 = 14/2 + 1/2.
7 + 1/2.
7(1/2).

e. $$\frac{17}{3}$$

17/3 = 5(2/3).

Explanation:
In the above-given question,
given that,
Rename each fraction as a mixed number by decomposing.
17/3 = 15/3 + 2/3.
3 + 2/3.
3(2/3).

Question 2.
Convert each fraction to a mixed number. Show your work as in the example. Model with a number line.
a. $$\frac{11}{3}$$

11/3 = 3(2/3).

Explanation:
In the above-given question,
given that,
convert each fraction to a mixed number.
11/3 = 9/3 + 2/3.
3 + 2/3.
3(2/3).

b. $$\frac{13}{2}$$

13/2 = 6(1/2).

Explanation:
In the above-given question,
given that,
convert each fraction to a mixed number.
13/2 = 12/2 + 1/2.
6 + 1/2.
6(1/2).

c. $$\frac{18}{4}$$

18/4 = 4(2/4).

Explanation:
In the above-given question,
given that,
convert each fraction to a mixed number.
18/4 = 16/4 + 2/4.
4 + 2/4.
4(2/4).

Question 3.
Convert each fraction to a mixed number.

a. $$\frac{14}{3}$$ = 4(2/3)

14/3 = 4(2/3).

Explanation:
In the above-given question,
given that,
convert each fraction to a mixed number.
14/3 = 12/3 + 2/3.
4 + 2/3.
4(2/3).

b. $$\frac{17}{4}$$ = 4(1/4).

17/4 = 4(1/4).

Explanation:
In the above-given question,
given that,
convert each fraction to a mixed number.
17/4 = 16/4 + 1/4.
4 + 1/4.
4(1/4).

c. $$\frac{27}{5}$$ = 5(2/5).

27/5 = 5(2/5).

Explanation:
In the above-given question,
given that,
convert each fraction to a mixed number.
27/5 = 25/5 + 2/5.
5 + 2/5.
5(2/5).

d. $$\frac{28}{6}$$ = 4(4/6).

28/6 = 4(4/6).

Explanation:
In the above-given question,
given that,
convert each fraction to a mixed number.
28/6 = 24/6 + 4/6.
4 + 4/6.
4(4/6).

e. $$\frac{23}{7}$$ = 3(2/7).

23/7 = 3(2/7).

Explanation:
In the above-given question,
given that,
convert each fraction to a mixed number.
23/7 = 21/7 + 2/7.
3 + 2/7.
3(2/7).

f. $$\frac{37}{8}$$ = 4(5/8).

37/8 = 4(5/8).

Explanation:
In the above-given question,
given that,
convert each fraction to a mixed number.
37/8 = 32/8 + 5/8.
4 + 5/8.
4(5/8).

g. $$\frac{51}{9}$$ = 5(6/9).

51/9 = 5(6/9).

Explanation:
In the above-given question,
given that,
convert each fraction to a mixed number.
51/9 = 45/9 + 6/9.
5 + 6/9.
5(6/9).

h. $$\frac{74}{10}$$ = 7(4/10).

74/10 = 7(4/10).

Explanation:
In the above-given question,
given that,
convert each fraction to a mixed number.
74/10 = 70/10 + 4/10.
7 + 4/10.
7(4/10).

i. $$\frac{45}{12}$$ = 3(9/12).