## 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. \(\frac{11}{3}\)

Answer:

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

Answer:

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. \(\frac{13}{2}\)

Answer:

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

Answer:

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. \(\frac{11}{3}\)

Answer:

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

Answer:

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. \(\frac{17}{4}\)

Answer:

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).

Answer:

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).

Answer:

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).

Answer:

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).

Answer:

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).

Answer:

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)

Answer:

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).

Answer:

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).

Answer:

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).

Answer:

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.

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

Answer:

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.

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

Answer:

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.

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

Answer:

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. \(\frac{11}{3}\)

Answer:

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. \(\frac{13}{4}\)

Answer:

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. \(\frac{16}{5}\)

Answer:

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

Answer:

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

Answer:

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. \(\frac{11}{3}\)

Answer:

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. \(\frac{13}{2}\)

Answer:

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. \(\frac{18}{4}\)

Answer:

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)

Answer:

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).

Answer:

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).

Answer:

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).

Answer:

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).

Answer:

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).

Answer:

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).

Answer:

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).

Answer:

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).

Answer:

45/12 = 3(9/12).

Explanation:

In the above-given question,

given that,

convert each fraction to a mixed number.

45/12 = 36/12 + 9/12.

3 + 9/12.

3(9/12).