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## Engage NY Eureka Math 4th Grade Module 5 Lesson 11 Answer Key

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### Eureka Math Grade 4 Module 5 Lesson 11 Problem Set Answer Key

Question 1.
Label each number line with the fractions shown on the tape diagram. Circle the fraction that labels the point on the number line that also names the shaded part of the tape diagram.
a. 1/4.

Explanation:
In the above-given question,
given that,
Label each number line with the fractions shown on the tape diagram.
circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram.
the length of the tape diagram is 1 meter.
25 percent of the tape diagram is filled.
25/100 = 1/4.
so 1/4 part is filled. b. 2/8 = 1/4.

Explanation:
In the above-given question,
given that,
Label each number line with the fractions shown on the tape diagram.
circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram.
the length of the tape diagram is 1 meter.
2/8 = 1/4.
25 percent of the tape diagram is filled.
25/100 = 1/4.
so 1/4 part is filled. c. 3/12 = 1/4.

Explanation:
In the above-given question,
given that,
Label each number line with the fractions shown on the tape diagram.
circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram.
the length of the tape diagram is 1 meter.
3/12 = 1/4.
25 percent of the tape diagram is filled.
25/100 = 1/4.
so 1/4 part is filled. Question 2.
Write number sentences using multiplication to show:
a. The fraction represented in 1(a) is equivalent to the fraction represented in 1(b).

2/8 = 1/4.

Explanation:
In the above-given question,
given that,
Label each number line with the fractions shown on the tape diagram.
circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram.
the length of the tape diagram is 1 meter.
2/8 = 1/4.
25 percent of the tape diagram is filled.
25/100 = 1/4.
so 1/4 part is filled.

b. The fraction represented in 1(a) is equivalent to the fraction represented in 1(c).

3/12 = 1/4.

Explanation:
In the above-given question,
given that,
Label each number line with the fractions shown on the tape diagram.
circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram.
the length of the tape diagram is 1 meter.
3/12 = 1/4.
25 percent of the tape diagram is filled.
25/100 = 1/4.
so 1/4 part is filled.

Question 3.
Use each shaded tape diagram below as a ruler to draw a number line. Mark each number line with the fractional units shown on the tape diagram, and circle the fraction that labels the point on the number line that also names the shaded part of the tape diagram.
a. 2/3.

Explanation:
In the above-given question,
given that,
Label each number line with the fractions shown on the tape diagram.
circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram.
the length of the tape diagram is 1 meter.
so 2/3 part is filled. b. 4/6 = 2/3.

Explanation:
In the above-given question,
given that,
Label each number line with the fractions shown on the tape diagram.
circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram.
the length of the tape diagram is 1 meter.
4/6 = 2/3
so 2/3 part is filled. c. 8/12 = 2/3.

Explanation:
In the above-given question,
given that,
Label each number line with the fractions shown on the tape diagram.
circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram.
the length of the tape diagram is 1 meter.
8/12 = 2/3
so 2/3 part is filled. Question 4.
Write number sentences using division to show:
a. The fraction represented in 3(a) is equivalent to the fraction represented in 3(b).

4/6 = 2/3.

Explanation:
In the above-given question,
given that,
Label each number line with the fractions shown on the tape diagram.
circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram.
the length of the tape diagram is 1 meter.
4/6 = 2/3
so 2/3 part is filled.

b. The fraction represented in 3(a) is equivalent to the fraction represented in 3(c).

8/12= 2/3.

Explanation:
In the above-given question,
given that,
Label each number line with the fractions shown on the tape diagram.
circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram.
the length of the tape diagram is 1 meter.
8/12 = 2/3
so 2/3 part is filled.

Question 5.
a. Partition a number line from 0 to 1 into fifths. Decompose $$\frac{2}{5}$$ into 4 equal lengths.

2/5.

Explanation:
In the above-given question,
given that,
Label each number line with the fractions shown on the tape diagram.
circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram.
the length of the tape diagram is 1 meter.
so 2/5 part is filled.

b. Write a number sentence using multiplication to show what fraction represented on the number line is equivalent to $$\frac{2}{5}$$.

8/15 = 2/5.

Explanation:
In the above-given question,
given that,
Label each number line with the fractions shown on the tape diagram.
circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram.
the length of the tape diagram is 1 meter.
8/15 = 2/5.
1 x 2 = 2.
1 x 5 = 5.
so 2/5 part is filled.

c. Write a number sentence using division to show what fraction represented on the number line is equivalent to $$\frac{2}{5}$$.

8/15 = 2/5.

Explanation:
In the above-given question,
given that,
Label each number line with the fractions shown on the tape diagram.
circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram.
the length of the tape diagram is 1 meter.
8/15 = 2/5.
8/4 = 2.
15/3 = 5.
so 2/5 part is filled.

### Eureka Math Grade 4 Module 5 Lesson 11 Exit Ticket Answer Key

Question 1.
Partition a number line from 0 to 1 into sixths. Decompose $$\frac{2}{6}$$ into 4 equal lengths.

2/6 = 1/3.

Explanation:
In the above-given question,
given that,
Label each number line with the fractions shown on the tape diagram.
circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram.
the length of the tape diagram is 1 meter.
2/6 = 1/3.
so the 2/6 part is filled.

Question 2.
Write a number sentence using multiplication to show what fraction represented on the number line is equivalent to $$\frac{2}{6}$$.

8/12 = 2/6.

Explanation:
In the above-given question,
given that,
Label each number line with the fractions shown on the tape diagram.
circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram.
the length of the tape diagram is 1 meter.
8/12 = 2/6.
so the 2/6 part is filled.

Question 3.
Write a number sentence using division to show what fraction represented on the number line is equivalent to $$\frac{2}{6}$$.

8/15 = 2/5.

Explanation:
In the above-given question,
given that,
Label each number line with the fractions shown on the tape diagram.
circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram.
the length of the tape diagram is 1 meter.
8/15 = 2/5.
8/4 = 2.
15/3 = 5.
so 2/5 part is filled.

### Eureka Math Grade 4 Module 5 Lesson 11 Homework Answer Key

Question 1.
Label each number line with the fractions shown on the tape diagram. Circle the fraction that labels the point on the number line that also names the shaded part of the tape diagram.
a. 1/3.

Explanation:
In the above-given question,
given that,
Label each number line with the fractions shown on the tape diagram.
circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram.
the length of the tape diagram is 1 meter.
33 percent of the tape diagram is filled.
33/100 = 1/3.
so 1/3 part is filled. b. 2/6 = 1/3.

Explanation:
In the above-given question,
given that,
Label each number line with the fractions shown on the tape diagram.
circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram.
the length of the tape diagram is 1 meter.
2/6 = 1/3.
33 percent of the tape diagram is filled.
33/100 = 1/3.
so 1/3 part is filled. c. 4/12 = 1/3.

Explanation:
In the above-given question,
given that,
Label each number line with the fractions shown on the tape diagram.
circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram.
the length of the tape diagram is 1 meter.
4/12 = 1/3.
33 percent of the tape diagram is filled.
33/100 = 1/3.
so 1/3 part is filled. Question 2.
Write number sentences using multiplication to show:
a. The fraction represented in 1(a) is equivalent to the fraction represented in 1(b).

2/6 = 1/3.

Explanation:
In the above-given question,
given that,
Label each number line with the fractions shown on the tape diagram.
circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram.
the length of the tape diagram is 1 meter.
2/6 = 1/3.
33 percent of the tape diagram is filled.
33/100 = 1/3.
so 1/3 part is filled.

b. The fraction represented in 1(a) is equivalent to the fraction represented in 1(c).

4/12 = 1/3.

Explanation:
In the above-given question,
given that,
Label each number line with the fractions shown on the tape diagram.
circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram.
the length of the tape diagram is 1 meter.
4/12 = 1/3.
33 percent of the tape diagram is filled.
33/100 = 1/3.
so 1/3 part is filled.

Question 3.
Use each shaded tape diagram below as a ruler to draw a number line. Mark each number line with the fractional units shown on the tape diagram, and circle the fraction that labels the point on the number line that also names the shaded part of the tape diagram.
a. 2/4 = 1/2.

Explanation:
In the above-given question,
given that,
Label each number line with the fractions shown on the tape diagram.
circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram.
the length of the tape diagram is 1 meter.
2/4 = 1/2.
50 percent of the tape diagram is filled.
50/100 = 1/2.
so 1/2 part is filled. b. 4/8 = 1/2.

Explanation:
In the above-given question,
given that,
Label each number line with the fractions shown on the tape diagram.
circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram.
the length of the tape diagram is 1 meter.
4/8 = 1/2.
50 percent of the tape diagram is filled.
50/100 = 1/2.
so 1/2 part is filled. c. 5/10 = 1/2.

Explanation:
In the above-given question,
given that,
Label each number line with the fractions shown on the tape diagram.
circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram.
the length of the tape diagram is 1 meter.
5/10 = 1/2.
50 percent of the tape diagram is filled.
50/100 = 1/2.
so 1/2 part is filled. Question 4.
Write a number sentence using division to show the fraction represented in 3(a) is equivalent to the fraction represented in 3(b).

4/8 = 1/2.

Explanation:
In the above-given question,
given that,
Label each number line with the fractions shown on the tape diagram.
circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram.
the length of the tape diagram is 1 meter.
4/8 = 1/2.
50 percent of the tape diagram is filled.
50/100 = 1/2.
so 1/2 part is filled.

Question 5.
a. Partition a number line from 0 to 1 into fourths. Decompose $$\frac{3}{4}$$ into 6 equal lengths.

3/4.

Explanation:
In the above-given question,
given that,
Label each number line with the fractions shown on the tape diagram.
circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram.
the length of the tape diagram is 1 meter.
3/4 = 0.75.
75 percent of the tape diagram is filled.
75/100 = 3/4.
so 3/4 part is filled.

b. Write a number sentence using multiplication to show what fraction represented on the number line is equivalent to $$\frac{3}{4}$$.

3/4.

Explanation:
In the above-given question,
given that,
Label each number line with the fractions shown on the tape diagram.
circle the fraction that labels the point on the number line that also names the shaded parts of the tape diagram.
the length of the tape diagram is 1 meter.
3/4 = 0.75.
75 percent of the tape diagram is filled.
75/100 = 3/4.
3 x 1 = 3.
4 x 1 = 4.
so 3/4 part is filled.

c. Write a number sentence using division to show what fraction represented on the number line is equivalent to $$\frac{3}{4}$$.