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

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 ÷ $$\frac{1}{3}$$ = _______________
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 ÷ $$\frac{1}{8}$$ = _______________
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 ÷ $$\frac{1}{5}$$ = _______________
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 ÷ $$\frac{1}{7}$$ = _______________
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 ÷ $$\frac{1}{4}$$ = _______________
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 ÷ $$\frac{1}{6}$$ = _______________
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 ÷ $$\frac{1}{5}$$ = _______________
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 ÷ $$\frac{1}{8}$$ = _______________
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 ÷ $$\frac{1}{5}$$ = _______________
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 ÷ $$\frac{1}{9}$$ = _______________
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 ÷ $$\frac{1}{5}$$ = _______________
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 ÷ $$\frac{1}{11}$$ = _______________
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 ÷ $$\frac{1}{12}$$ = _______________
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 ÷ $$\frac{1}{9}$$ = _______________
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 ÷ $$\frac{1}{7}$$ = _______________
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 ÷ $$\frac{1}{12}$$ = _______________
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 ÷ $$\frac{1}{3}$$ = _______________
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 ÷ $$\frac{1}{5}$$ = _______________
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 ÷ $$\frac{1}{6}$$ = _______________
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 ÷ $$\frac{1}{6}$$ = _______________
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 ÷ $$\frac{1}{4}$$ = _______________
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 ÷ $$\frac{1}{9}$$ = _______________
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 ÷ $$\frac{1}{6}$$ = _______________
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 ÷ $$\frac{1}{2}$$ = _______________
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 ÷ $$\frac{1}{5}$$ = _______________
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 ÷ $$\frac{1}{5}$$ = _______________
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 ÷ $$\frac{1}{10}$$ = _______________
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 ÷ $$\frac{1}{8}$$ = _______________
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 ÷ $$\frac{1}{7}$$ = _______________
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 ÷ $$\frac{1}{5}$$ = _______________
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 ÷ $$\frac{1}{5}$$ = _______________
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 ÷ $$\frac{1}{3}$$ = _______________
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 ÷ $$\frac{1}{7}$$ = _______________
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 ÷ $$\frac{1}{9}$$ = _______________
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 ÷ $$\frac{1}{8}$$ = _______________
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 ÷ $$\frac{1}{7}$$ = _______________
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 ÷ $$\frac{1}{2}$$ = _______________
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 ÷ $$\frac{1}{3}$$ = _______________
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 ÷ $$\frac{1}{9}$$ = _______________
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 ÷ $$\frac{1}{5}$$ = _______________
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

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