## Engage NY Eureka Math 4th Grade Module 5 Lesson 35 Answer Key

### Eureka Math Grade 4 Module 5 Lesson 35 Problem Set Answer Key

Question 1.
Draw and label a tape diagram to show the following are true.
a. 8 fifths = 4 × (2 fifths) = (4 × 2) fifths

8 fifths = (4 x 2) fifths.

Explanation:
In the above-given question,
given that,
8 fifths.
4 x ( 2 fifths).
(4 x 2) fifths.

b. 10 sixths = 5 × (2 sixths) = (5 × 2) sixths

10 sixths = (5 x 2) sixths.

Explanation:
In the above-given question,
given that,
10 sixths.
5 x (2 sixths).
(5 x 2) sixths.

Question 2.
Write the expression in unit form to solve.
a. 7 × $$\frac{2}{3}$$

14 thirds = (7 x 2) thirds.

Explanation:
In the above-given question,
given that,
7(2/3) = 14/3.
14 thirds.
7 x (2 thirds).
(7 x 2) thirds.

b. 4 × $$\frac{2}{4}$$

8 fourths = (4 x 2) fourths.

Explanation:
In the above-given question,
given that,
4(2/4) = 8/4.
8 fourths.
4 x (2 fourths).
(4 x 2) fourths.

c. 16 × $$\frac{3}{8}$$

48 eights = (12 x 4) eights.

Explanation:
In the above-given question,
given that,
16(3/8) = 48/8.
48 eights.
12 x (4 eights).
(12 x 4) eights.

d. 6 × $$\frac{5}{8}$$

30 eights = (15 x 2) eights.

Explanation:
In the above-given question,
given that,
6(5/8) = 30/8.
30 eights.
15 x (2 eights).
(15 x 2) eights.

Question 3.
Solve.
a. 7 × $$\frac{4}{9}$$

28 ninths = (14 x 2) ninths.

Explanation:
In the above-given question,
given that,
7(4/9) = 28/9.
28 ninths.
14 x (2 ninths).
(14 x 2) ninths.

b. 6 × $$\frac{3}{5}$$

18 fifths = (9 x 2) fifths.

Explanation:
In the above-given question,
given that,
6(3/5) = 18/5.
18 fifths.
9 x (2 fifths).
(9 x 2) fifths.

c. 8 × $$\frac{3}{4}$$

24 fourths = (12 x 2) fourths.

Explanation:
In the above-given question,
given that,
8(3/4) = 24/4.
24 fourths.
12 x (2 fourths).
(12 x 2) fourths.

d. 16 × $$\frac{3}{8}$$

51 eights = (17 x 3) eights.

Explanation:
In the above-given question,
given that,
16(3/8) = 51/8.
51 eights.
17 x (3 eights).
(17 x 3) eights.

e. 12 × $$\frac{7}{10}$$

84 tens = (42 x 2) tens.

Explanation:
In the above-given question,
given that,
12(7/10) = 84/10.
84 tens.
42 x (2 tens).
(42 x 2) tens.

f. 3 × $$\frac{54}{100}$$

162 hundreds = (81 x 2) hundreds.

Explanation:
In the above-given question,
given that,
3(54/100) = 162/100.
162 hundred.
81 x (2 hundred).
(81 x 2) hundred.

Question 4.
Maria needs $$\frac{3}{5}$$ yard of fabric for each costume. How many yards of fabric does she need for 6 costumes?

The number of yards of fabric does she need for 6 costumes = 3.6 yards.

Explanation:
In the above-given question,
given that,
Maria needs 3/5 yards of fabric for each costume.
3/5 = 0.6.
0.6 x 6.
3.6 yards.

### Eureka Math Grade 4 Module 5 Lesson 35 Exit Ticket Answer Key

Question 1.
Solve using unit form.
5 × $$\frac{2}{3}$$

10 thirds = (5 x 2) thirds.

Explanation:
In the above-given question,
given that,
5(2/3) = 10/3.
10 thirds.
5 x (2 thirds).
(5 x 2) thirds.

Question 2.
Solve.
11 × $$\frac{5}{6}$$

55 sixths = (11 x 5) sixths.

Explanation:
In the above-given question,
given that,
11(5/6) = 55/6.
55 sixths.
11 x (5 sixths).
(11 x 5) sixths.

## Eureka Math Grade 4 Module 5 Lesson 35 Homework Answer Key

Question 1.
Draw and label a tape diagram to show the following are true.
a. 8 thirds = 4 × (2 thirds) = (4 × 2) thirds

8 thirds = (4 x 2) thirds.

Explanation:
In the above-given question,
given that,
8 thirds.
4 x (2 thirds).
(4 x 2) thirds.

b. 15 eighths = 3 × (5 eighths) = (3 × 5) eighths

15 eights = (3 x 5) eights.

Explanation:
In the above-given question,
given that,
15 eights.
3 x (5 eights).
(3 x 5) eights.

Question 2.
Write the expression in unit form to solve.
a. 10 × $$\frac{2}{5}$$

20 fifths = (10 x 2) fifths.

Explanation:
In the above-given question,
given that,
10(2/5) = 20/5.
20 fifths.
10 x (2 fifths).
(10 x 2) fifths.

b. 3 × $$\frac{5}{6}$$

15 sixths = (3 x 5) sixths.

Explanation:
In the above-given question,
given that,
3(5/6) = 15/6.
15 sixths.
3 x (5 sixths).
(3 x 5) sixths.

c. 9 × $$\frac{4}{9}$$

36 nines = (9 x 4) nines.

Explanation:
In the above-given question,
given that,
9(4/9) = 36/9.
36 nines.
9 x (4 nines).
(9 x 4) nines.

d. 7 × $$\frac{3}{4}$$

21 fourths = (7 x 3) fourths.

Explanation:
In the above-given question,
given that,
7(3/4) = 21/4.
21 fourths.
7 x (3 fourths).
(7 x 3) fourths.

Question 3.
Solve.
a. 6 × $$\frac{3}{4}$$

18 fourths = (6 x 3) fourths.

Explanation:
In the above-given question,
given that,
6(3/4) = 18/4.
18 fourths.
6 x (3 fourths).
(6 x 3) fourths.

b. 7 × $$\frac{5}{8}$$

35 eights = (7 x 5) eights.

Explanation:
In the above-given question,
given that,
7(5/8) = 35/8.
35 eights.
7 x (5 eights).
(7 x 5) eights.

c. 13 × $$\frac{2}{3}$$

26 thirds = (13 x 2) thirds.

Explanation:
In the above-given question,
given that,
13(2/3) = 26/3.
26 thirds.
13 x (2 thirds).
(13 x 2) thirds.

d. 18 × $$\frac{2}{3}$$

36 thirds = (18 x 2) thirds.

Explanation:
In the above-given question,
given that,
18(2/3) = 36/3.
36 thirds.
18 x (2 thirds).
(18 x 2) thirds.

e. 14 × $$\frac{7}{10}$$

98 tens = (14 x 7) tens.

Explanation:
In the above-given question,
given that,
14(7/10) = 98/10.
98 tens.
14 x (7 tens).
(4 x 7) tens.

f. 7 × $$\frac{14}{100}$$

98 hundreds = (7 x 14) hundred.

Explanation:
In the above-given question,
given that,
7(14/100) = 98/100.
98 hundred.
7 x (14 hundred).
(7 x 14) hundred.

Question 4.
Mrs. Smith bought some orange juice. Each member of her family drank $$\frac{2}{3}$$ cup for breakfast. There are five people in her family. How many cups of orange juice did they drink?