## Engage NY Eureka Math 4th Grade Module 5 Lesson 1 Answer Key

### Eureka Math Grade 4 Module 5 Lesson 1 Problem Set Answer Key

Question 1.
Draw a number bond, and write the number sentence to match each tape diagram. The first one is done for you.
a.

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

Explanation:
In the above-given question,
given that,
total there are 3 boxes.
the 3 boxes are filled.
1 = 1/3 + 1/3 + 1/3.
b.

4/5 = 1/5 + 2/5 + 1/5.

Explanation:
In the above-given question,
given that,
total there are 5 boxes.
the 4 boxes are filled.
4/5 = 1/5 + 2/5 + 1/5.

c.

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

Explanation:
In the above-given question,
given that,
total there are 4 boxes.
the 3 boxes are filled.
3/4 = 1/4 + 1/4 + 1/4.

d.

4/6 = 2/6 + 2/6.

Explanation:
In the above-given question,
given that,
total there are 6 boxes.
the 4 boxes are filled.
4/6 = 2/6 + 2/6 .

e.

6/8 = 2/8 + 2/8 + 2/8.

Explanation:
In the above-given question,
given that,
total there are 8 boxes.
the 6 boxes are filled.
6/8 = 2/8 + 2/8 + 2/8.

f.

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

Explanation:
In the above-given question,
given that,
total there are 5 boxes.
the 5 boxes are filled.
1 = 1/5 + 1/5 + 1/5 + 1/5.

g.

1 = 1/5 + 2/5 + 3/5 + 1/5.

Explanation:
In the above-given question,
given that,
total there are 5 boxes.
the 5 boxes are filled.
1 = 1/5 + 2/5 + 3/5 +1/5.

h.

1 = 1/11 + 2/11 + 2/11 + 4/11 +1/11 + 8/11.

Explanation:
In the above-given question,
given that,
total there are 11 boxes.
the 11 boxes are filled.
1 = 1/11 + 2/11 + 2/11 + 4/11 + 1/11 + 8/1.

Question 2.
Draw and label tape diagrams to model each decomposition.
a. 1 = $$\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}$$

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

Explanation:
In the above-given question,
given that,
total there are 6 boxes.
the 6 boxes are filled.
1 = 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6.

b. $$\frac{4}{5}$$ = $$\frac{1}{5}+\frac{2}{5}+\frac{1}{5}$$

4/5 = 1/5 + 2/5 + 1/5.

Explanation:
In the above-given question,
given that,
total there are 5 boxes.
the 4 boxes are filled.
4/5 = 1/5 + 2/5 + 1/5.

c. $$\frac{7}{8}$$ = $$\frac{3}{8}+\frac{3}{8}+\frac{1}{8}$$

7/8 = 3/8 + 3/8 + 1/8.

Explanation:
In the above-given question,
given that,
total there are 8 boxes.
the 7 boxes are filled.
7/8 = 3/8 + 3/8 + 1/8.

d. $$\frac{11}{8}$$ = $$\frac{7}{8}+\frac{1}{8}+\frac{3}{8}$$

11/8 = 7/8 + 1/8 + 3/8.

Explanation:
In the above-given question,
given that,
total there are 11 boxes.
the 8 boxes are filled.
11/8 = 7/8 + 1/8 + 3/8.

e. $$\frac{12}{10}$$ = $$\frac{6}{10}+\frac{4}{10}+\frac{2}{10}$$

12/10 = 6/10 + 4/10 + 2/10.

Explanation:
In the above-given question,
given that,
total there are 12 boxes.
the 10 boxes are filled.
12/10 = 6/10 + 4/10 + 2/10.

f. $$\frac{15}{12}$$ = $$\frac{8}{12}+\frac{3}{12}+\frac{4}{12}$$

15/12 = 8/12 + 3/12 + 4/12.

Explanation:
In the above-given question,
given that,
total there are 15 boxes.
the 12 boxes are filled.
15/12 = 8/12 + 3/12 + 4/12.

g. 1$$\frac{2}{3}$$ = 1 + $$\frac{2}{3}$$

2/3 = 1 + 2/3.

Explanation:
In the above-given question,
given that,
total there are 3 boxes.
the 2 boxes are filled.
2/3 = 1 + 2/3.

h. 1$$\frac{5}{8}$$ = 1 + $$\frac{1}{8}$$ + $$\frac{1}{8}$$ + $$\frac{3}{8}$$

5/8 = 1 + 1/8 + 1/8 + 3/8.

Explanation:
In the above-given question,
given that,
total there are 8 boxes.
the 5 boxes are filled.
5/8 =1 + 1/8 + 1/8 + 3/8.

### Eureka Math Grade 4 Module 5 Lesson 1 Exit Ticket Answer Key

Question 1.
Complete the number bond, and write the number sentence to match the tape diagram.

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

Explanation:
In the above-given question,
given that,
total there are 4 boxes.
the 4 boxes are filled.
1 = 1/4 + 1/4 + 1/4 + 1/4.

Question 2.
Draw and label tape diagrams to model each number sentence.
a. 1 = $$\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}$$

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

Explanation:
In the above-given question,
given that,
total there are 5 boxes.
the 5 boxes are filled.
1 = 1/5 + 1/5 + 1/5 + 1/5 + 1/5.

b. $$\frac{5}{6}$$ = $$\frac{2}{6}+\frac{2}{6}+\frac{1}{6}$$

5/6 = 2/6 + 2/6 + 1/6.

Explanation:
In the above-given question,
given that,
total there are 6 boxes.
the 5 boxes are filled.
5/6 = 2/6 + 2/6 + 1/6.

### Eureka Math Grade 4 Module 5 Lesson 1 Homework Answer Key

Draw a number bond, and write the number sentence to match each tape diagram. The first one is done for you.

a.
b.

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

Explanation:
In the above-given question,
given that,
total there are 4 boxes.
the 2 boxes are filled.
2/4 = 1/4 + 1/4 .

c.

3/5 = 1/5 + 2/5.

Explanation:
In the above-given question,
given that,
total there are 5 boxes.
the 3 boxes are filled.
3/5 = 1/5 + 2/5.

d.

6/7 = 3/7 + 2/7 + 1/7.

Explanation:
In the above-given question,
given that,
total there are 7 boxes.
the 6 boxes are filled.
6/7 = 3/7 + 2/7 + 1/7.

e.

3/8 = 2/8 + 1/8 .

Explanation:
In the above-given question,
given that,
total there are 8 boxes.
the 3 boxes are filled.
3/8 = 2/8 + 1/8.

f.

1 = 1/6 + 1/7.

Explanation:
In the above-given question,
given that,
total there are 7 boxes.
the 6 boxes are filled.
1 = 1/6 + 1/7.

g.

1 = 3/6 + 2/6 + 1/6.

Explanation:
In the above-given question,
given that,
total there are 6 boxes.
the 6 boxes are filled.
1 = 3/6 + 2/6 + 1/6.

h.

1 = 3/12 + 2/12 + 1/12 + 3/12 + 3/12.

Explanation:
In the above-given question,
given that,
total there are 12 boxes.
the 12 boxes are filled.
1 = 3/12 + 2/12 + 1/12 + 3/12 + 3/12.

Question 2.
Draw and label tape diagrams to match each number sentence.
a. $$\frac{5}{8}$$ = $$\frac{2}{8}+\frac{2}{8}+\frac{1}{8}$$

5/8 = 2/8 + 2/8 + 1/8.

Explanation:
In the above-given question,
given that,
total there are 8 boxes.
the 5 boxes are filled.
5/8 = 2/8 + 2/8 + 1/8.

b. $$\frac{12}{8}$$ = $$\frac{6}{8}+\frac{2}{8}+\frac{4}{8}$$

12/8 = 6/8 + 2/8 + 4/8.

Explanation:
In the above-given question,
given that,
total there are 12 boxes.
the 8 boxes are filled.
12/8 = 6/8 + 2/8 + 4/8.

c. $$\frac{11}{10}$$ = $$\frac{5}{10}+\frac{5}{10}+\frac{1}{10}$$

11/10 = 5/10 + 5/10 + 1/10.

Explanation:
In the above-given question,
given that,
total there are 11 boxes.
the 10 boxes are filled.
11/10 = 5/10 + 5/10 + 1/10.

d. $$\frac{13}{12}$$ = $$\frac{7}{12}+\frac{1}{12}+\frac{5}{12}$$

13/12 = 7/12 + 1/12 + 5/12.

Explanation:
In the above-given question,
given that,
total there are 13 boxes.
the 12 boxes are filled.
13/12 = 7/12 + 1/12 + 5/12.

e. 1$$\frac{1}{4}$$ = 1 + $$\frac{1}{4}$$

5/4 = 1 + 1/4.

Explanation:
In the above-given question,
given that,
total there are 5 boxes.
the 4 boxes are filled.
5/4 = 1 + 1/4.

f. 1$$\frac{2}{7}$$ = 1 + $$\frac{2}{7}$$