Practice with the help of **Spectrum Math Grade 5 Answer Key Chapter 6 Lesson 6.6 Dividing Whole Numbers by Fractions **regularly and improve your accuracy in solving questions.

## Spectrum Math Grade 5 Chapter 6 Lesson 6.6 Dividing Whole Numbers by Fractions Answers Key

To divide a whole number by a fraction, first write the whole number as a fraction. Then, multiply by the reciprocal of the divisor.

**Divide. Write answers in simplest form.**

Question 1.

a. 5 ÷ \(\frac{1}{3}\) = _______________

Answer:

15

Explanation:

Given,

5 ÷ \(\frac{1}{3}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{5}{1}\) ÷ \(\frac{1}{3}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{5}{1}\) × \(\frac{3}{1}\)

Multiply across numerators and denominators.

\(\frac{5 \times 3}{1 \times 1}\) = 15

b. 6 ÷ \(\frac{1}{8}\) = _______________

Answer:

48

Explanation:

Given,

6 ÷ \(\frac{1}{8}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{6}{1}\) ÷ \(\frac{1}{8}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{6}{1}\) × \(\frac{8}{1}\)

Multiply across numerators and denominators.

\(\frac{6 \times 8}{1 \times 1}\) = 48

c. 2 ÷ \(\frac{1}{5}\) = _______________

Answer:

10

Explanation:

Given,

2 ÷ \(\frac{1}{5}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{2}{1}\) ÷ \(\frac{1}{5}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{2}{1}\) × \(\frac{5}{1}\)

Multiply across numerators and denominators.

\(\frac{2 \times 5}{1 \times 1}\) = 10

d. 8 ÷ \(\frac{1}{7}\) = _______________

Answer:

56

Explanation:

Given,

8 ÷ \(\frac{1}{7}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{8}{1}\) ÷ \(\frac{1}{7}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{8}{1}\) × \(\frac{7}{1}\)

Multiply across numerators and denominators.

\(\frac{8 \times 7}{1 \times 1}\) = 56

Question 2.

a. 9 ÷ \(\frac{1}{4}\) = _______________

Answer:

36

Explanation:

Given,

9 ÷ \(\frac{1}{4}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{9}{1}\) ÷ \(\frac{1}{4}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{9}{1}\) × \(\frac{4}{1}\)

Multiply across numerators and denominators.

\(\frac{9 \times 4}{1 \times 1}\) = 36

b. 10 ÷ \(\frac{1}{6}\) = _______________

Answer:

60

Explanation:

Given,

10 ÷ \(\frac{1}{6}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{10}{1}\) ÷ \(\frac{1}{6}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{10}{1}\) × \(\frac{6}{1}\)

Multiply across numerators and denominators.

\(\frac{10 \times 6}{1 \times 1}\) = 60

c. 15 ÷ \(\frac{1}{5}\) = _______________

Answer:

75

Explanation:

Given,

15 ÷ \(\frac{1}{5}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{15}{1}\) ÷ \(\frac{1}{5}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{15}{1}\) × \(\frac{5}{1}\)

Multiply across numerators and denominators.

\(\frac{15 \times 5}{1 \times 1}\) = 75

d. 4 ÷ \(\frac{1}{8}\) = _______________

Answer:

32

Explanation:

Given,

4 ÷ \(\frac{1}{8}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{4}{1}\) ÷ \(\frac{1}{8}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{4}{1}\) × \(\frac{8}{1}\)

Multiply across numerators and denominators.

\(\frac{4 \times 8}{1 \times 1}\) = 32

Question 3.

a. 4 ÷ \(\frac{1}{5}\) = _______________

Answer:

20

Explanation:

Given,

4 ÷ \(\frac{1}{5}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{4}{1}\) ÷ \(\frac{1}{5}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{4}{1}\) × \(\frac{5}{1}\)

Multiply across numerators and denominators.

\(\frac{4 \times 5}{1 \times 1}\) = 20

b. 5 ÷ \(\frac{1}{9}\) = _______________

Answer:

45

Explanation:

Given,

5 ÷ \(\frac{1}{9}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{5}{1}\) ÷ \(\frac{1}{9}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{5}{1}\) × \(\frac{9}{1}\)

Multiply across numerators and denominators.

\(\frac{5 \times 9}{1 \times 1}\) = 45

c. 5 ÷ \(\frac{1}{5}\) = _______________

Answer:

25

Explanation:

Given,

5 ÷ \(\frac{1}{5}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{5}{1}\) ÷ \(\frac{1}{5}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{5}{1}\) × \(\frac{5}{1}\)

Multiply across numerators and denominators.

\(\frac{5 \times 5}{1 \times 1}\) = 25

d. 10 ÷ \(\frac{1}{11}\) = _______________

Answer:

110

Explanation:

Given,

10 ÷ \(\frac{1}{11}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{10}{1}\) ÷ \(\frac{1}{11}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{10}{1}\) × \(\frac{11}{1}\)

Multiply across numerators and denominators.

\(\frac{10 \times 11}{1 \times 1}\) = 110

Question 4.

a. 4 ÷ \(\frac{1}{12}\) = _______________

Answer:

48

Explanation:

Given,

4 ÷ \(\frac{1}{12}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{4}{1}\) ÷ \(\frac{1}{12}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{4}{1}\) × \(\frac{12}{1}\)

Multiply across numerators and denominators.

\(\frac{4 \times 12}{1 \times 1}\) = 48

b. 6 ÷ \(\frac{1}{9}\) = _______________

Answer:

54

Explanation:

Given,

6 ÷ \(\frac{1}{9}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{6}{1}\) ÷ \(\frac{1}{9}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{6}{1}\) × \(\frac{9}{1}\)

Multiply across numerators and denominators.

\(\frac{6 \times 9}{1 \times 1}\) = 54

c. 3 ÷ \(\frac{1}{7}\) = _______________

Answer:

21

Explanation:

Given,

3 ÷ \(\frac{1}{7}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{3}{1}\) ÷ \(\frac{1}{7}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{3}{1}\) × \(\frac{7}{1}\)

Multiply across numerators and denominators.

\(\frac{3 \times 7}{1 \times 1}\) = 21

d. 5 ÷ \(\frac{1}{12}\) = _______________

Answer:

35

Explanation:

Given,

5 ÷ \(\frac{1}{12}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{5}{1}\) ÷ \(\frac{1}{12}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{5}{1}\) × \(\frac{12}{1}\)

Multiply across numerators and denominators.

\(\frac{5 \times 12}{1 \times 1}\) = 60

**Divide. Write answers in simplest form.**

Question 1.

a. 4 ÷ \(\frac{1}{3}\) = _______________

Answer:

12

Explanation:

Given,

4 ÷ \(\frac{1}{3}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{4}{1}\) ÷ \(\frac{1}{3}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{4}{1}\) × \(\frac{3}{1}\)

Multiply across numerators and denominators.

\(\frac{4 \times 3}{1 \times 1}\) = 12

b. 12 ÷ \(\frac{1}{5}\) = _______________

Answer:

60

Explanation:

Given,

12 ÷ \(\frac{1}{5}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{12}{1}\) ÷ \(\frac{1}{5}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{12}{1}\) × \(\frac{5}{1}\)

Multiply across numerators and denominators.

\(\frac{12 \times 5}{1 \times 1}\) = 60

c. 19 ÷ \(\frac{1}{6}\) = _______________

Answer:

114

Explanation:

Given,

19 ÷ \(\frac{1}{6}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{19}{1}\) ÷ \(\frac{1}{6}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{19}{1}\) × \(\frac{6}{1}\)

Multiply across numerators and denominators.

\(\frac{19 \times 6}{1 \times 1}\) = 114

d. 10 ÷ \(\frac{1}{6}\) = _______________

Answer:

60

Explanation:

Given,

10 ÷ \(\frac{1}{6}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{10}{1}\) ÷ \(\frac{1}{6}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{10}{1}\) × \(\frac{6}{1}\)

Multiply across numerators and denominators.

\(\frac{10 \times 6}{1 \times 1}\) = 60

Question 2.

a. 17 ÷ \(\frac{1}{4}\) = _______________

Answer:

68

Explanation:

Given,

17 ÷ \(\frac{1}{4}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{17}{1}\) ÷ \(\frac{1}{4}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{17}{1}\) × \(\frac{4}{1}\)

Multiply across numerators and denominators.

\(\frac{17 \times 4}{1 \times 1}\) = 68

b. 16 ÷ \(\frac{1}{9}\) = _______________

Answer:

144

Explanation:

Given,

16 ÷ \(\frac{1}{9}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{16}{1}\) ÷ \(\frac{1}{9}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{16}{1}\) × \(\frac{9}{1}\)

Multiply across numerators and denominators.

\(\frac{16 \times 9}{1 \times 1}\) = 144

c. 9 ÷ \(\frac{1}{6}\) = _______________

Answer:

54

Explanation:

Given,

9 ÷ \(\frac{1}{6}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{9}{1}\) ÷ \(\frac{1}{6}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{9}{1}\) × \(\frac{6}{1}\)

Multiply across numerators and denominators.

\(\frac{9 \times 6}{1 \times 1}\) = 54

d. 7 ÷ \(\frac{1}{2}\) = _______________

Answer:

14

Explanation:

Given,

7 ÷ \(\frac{1}{2}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{7}{1}\) ÷ \(\frac{1}{2}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{7}{1}\) × \(\frac{2}{1}\)

Multiply across numerators and denominators.

\(\frac{7 \times 2}{1 \times 1}\) = 14

Question 3.

a. 2 ÷ \(\frac{1}{5}\) = _______________

Answer:

10

Explanation:

Given,

2 ÷ \(\frac{1}{5}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{2}{1}\) ÷ \(\frac{1}{5}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{2}{1}\) × \(\frac{5}{1}\)

Multiply across numerators and denominators.

\(\frac{2 \times 5}{1 \times 1}\) = 10

b. 14 ÷ \(\frac{1}{5}\) = _______________

Answer:

70

Explanation:

Given,

14 ÷ \(\frac{1}{5}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{14}{1}\) ÷ \(\frac{1}{5}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{14}{1}\) × \(\frac{5}{1}\)

Multiply across numerators and denominators.

\(\frac{14 \times 5}{1 \times 1}\) = 70

c. 4 ÷ \(\frac{1}{10}\) = _______________

Answer:

40

Explanation:

Given,

4 ÷ \(\frac{1}{10}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{4}{1}\) ÷ \(\frac{1}{10}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{4}{1}\) × \(\frac{10}{1}\)

Multiply across numerators and denominators.

\(\frac{4 \times 10}{1 \times 1}\) = 40

d. 8 ÷ \(\frac{1}{8}\) = _______________

Answer:

64

Explanation:

Given,

8 ÷ \(\frac{1}{8}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{8}{1}\) ÷ \(\frac{1}{8}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{8}{1}\) × \(\frac{8}{1}\)

Multiply across numerators and denominators.

\(\frac{8 \times 8}{1 \times 1}\) = 64

Question 4.

a. 2 ÷ \(\frac{1}{7}\) = _______________

Answer:

14

Explanation:

Given,

2 ÷ \(\frac{1}{7}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{2}{1}\) ÷ \(\frac{1}{7}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{2}{1}\) × \(\frac{7}{1}\)

Multiply across numerators and denominators.

\(\frac{2 \times 7}{1 \times 1}\) = 14

b. 16 ÷ \(\frac{1}{5}\) = _______________

Answer:

80

Explanation:

Given,

16 ÷ \(\frac{1}{5}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{16}{1}\) ÷ \(\frac{1}{5}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{16}{1}\) × \(\frac{5}{1}\)

Multiply across numerators and denominators.

\(\frac{16 \times 5}{1 \times 1}\) = 80

c. 13 ÷ \(\frac{1}{5}\) = _______________

Answer:

65

Explanation:

Given,

13 ÷ \(\frac{1}{5}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{13}{1}\) ÷ \(\frac{1}{5}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{13}{1}\) × \(\frac{5}{1}\)

Multiply across numerators and denominators.

\(\frac{13 \times 5}{1 \times 1}\) = 65

d. 12 ÷ \(\frac{1}{3}\) = _______________

Answer:

36

Explanation:

Given,

12 ÷ \(\frac{1}{3}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{12}{1}\) ÷ \(\frac{1}{3}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{12}{1}\) × \(\frac{3}{1}\)

Multiply across numerators and denominators.

\(\frac{12 \times 3}{1 \times 1}\) = 36

Question 5.

a. 5 ÷ \(\frac{1}{7}\) = _______________

Answer:

35

Explanation:

Given,

5 ÷ \(\frac{1}{7}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{5}{1}\) ÷ \(\frac{1}{7}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{5}{1}\) × \(\frac{7}{1}\)

Multiply across numerators and denominators.

\(\frac{5 \times 7}{1 \times 1}\) = 35

b. 3 ÷ \(\frac{1}{9}\) = _______________

Answer:

27

Explanation:

Given,

3 ÷ \(\frac{1}{9}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{3}{1}\) ÷ \(\frac{1}{9}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{3}{1}\) × \(\frac{9}{1}\)

Multiply across numerators and denominators.

\(\frac{3 \times 9}{1 \times 1}\) = 27

c. 15 ÷ \(\frac{1}{8}\) = _______________

Answer:

120

Explanation:

Given,

15 ÷ \(\frac{1}{8}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{15}{1}\) ÷ \(\frac{1}{8}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{15}{1}\) × \(\frac{8}{1}\)

Multiply across numerators and denominators.

\(\frac{15 \times 8}{1 \times 1}\) = 120

d. 6 ÷ \(\frac{1}{7}\) = _______________

Answer:

42

Explanation:

Given,

6 ÷ \(\frac{1}{7}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{6}{1}\) ÷ \(\frac{1}{7}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{6}{1}\) × \(\frac{7}{1}\)

Multiply across numerators and denominators.

\(\frac{6 \times 7}{1 \times 1}\) = 42

Question 6.

a. 11 ÷ \(\frac{1}{2}\) = _______________

Answer:

22

Explanation:

Given,

11 ÷ \(\frac{1}{2}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{11}{1}\) ÷ \(\frac{1}{2}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{11}{1}\) × \(\frac{2}{1}\)

Multiply across numerators and denominators.

\(\frac{11 \times 2}{1 \times 1}\) = 22

b. 19 ÷ \(\frac{1}{3}\) = _______________

Answer:

57

Explanation:

Given,

19 ÷ \(\frac{1}{3}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{19}{1}\) ÷ \(\frac{1}{3}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{19}{1}\) × \(\frac{3}{1}\)

Multiply across numerators and denominators.

\(\frac{19 \times 3}{1 \times 1}\) = 57

c. 8 ÷ \(\frac{1}{9}\) = _______________

Answer:

72

Explanation:

Given,

8 ÷ \(\frac{1}{9}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{8}{1}\) ÷ \(\frac{1}{9}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{8}{1}\) × \(\frac{9}{1}\)

Multiply across numerators and denominators.

\(\frac{8 \times 9}{1 \times 1}\) = 72

d. 18 ÷ \(\frac{1}{5}\) = _______________

Answer:

90

Explanation:

Given,

18 ÷ \(\frac{1}{5}\)

To divide a whole number by a fraction,

first write the whole number as a fraction.

\(\frac{18}{1}\) ÷ \(\frac{1}{5}\)

Then, multiply by the reciprocal of the divisor.

\(\frac{18}{1}\) × \(\frac{5}{1}\)

Multiply across numerators and denominators.

\(\frac{18 \times 5}{1 \times 1}\) = 90