## 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

Answer:

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

Answer:

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 × \(\frac{2}{3}\)

Answer:

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 × \(\frac{2}{4}\)

Answer:

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 × \(\frac{3}{8}\)

Answer:

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 × \(\frac{5}{8}\)

Answer:

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 × \(\frac{4}{9}\)

Answer:

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 × \(\frac{3}{5}\)

Answer:

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 × \(\frac{3}{4}\)

Answer:

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 × \(\frac{3}{8}\)

Answer:

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 × \(\frac{7}{10}\)

Answer:

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 × \(\frac{54}{100}\)

Answer:

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?

Answer:

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 × \(\frac{2}{3}\)

Answer:

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 × \(\frac{5}{6}\)

Answer:

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

Answer:

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

Answer:

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 × \(\frac{2}{5}\)

Answer:

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 × \(\frac{5}{6}\)

Answer:

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 × \(\frac{4}{9}\)

Answer:

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 × \(\frac{3}{4}\)

Answer:

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 × \(\frac{3}{4}\)

Answer:

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 × \(\frac{5}{8}\)

Answer:

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 × \(\frac{2}{3}\)

Answer:

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 × \(\frac{2}{3}\)

Answer:

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 × \(\frac{7}{10}\)

Answer:

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 × \(\frac{14}{100}\)

Answer:

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?

Answer:

The cups of orange juice did they drink = 3 cups.

Explanation:

In the above-given question,

given that,

Mrs. Smith bought some orange juice.

Each member of her family drank 2/3 cup for breakfast.

There are five people in her family.

2/3 = 0.6.

0.6 x 5 = 3.