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

Practice with the help of Spectrum Math Grade 5 Answer Key Chapter 6 Lesson 6.5 Dividing Fractions by Whole Numbers regularly and improve your accuracy in solving questions.

## Spectrum Math Grade 5 Chapter 6 Lesson 6.5 Dividing Fractions by Whole Numbers 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. $$\frac{1}{3}$$ ÷ 3 = ________________
$$\frac{1}{9}$$

Explanation:
Given,
$$\frac{1}{3}$$ ÷ 3
To divide a whole number by a fraction,
first write the whole number as a fraction.
$$\frac{1}{3}$$ ÷ $$\frac{3}{1}$$
Then, multiply by the reciprocal of the divisor.
$$\frac{1}{3}$$ × $$\frac{1}{3}$$
Multiply across numerators and denominators.
$$\frac{1 \times 1}{3 \times 3}$$ = $$\frac{1}{9}$$

b. $$\frac{1}{5}$$ ÷ 8 = _______________
$$\frac{1}{40}$$

Explanation:
Given,
$$\frac{1}{5}$$ ÷ 8
To divide a whole number by a fraction,
first write the whole number as a fraction.
$$\frac{1}{5}$$ ÷ $$\frac{8}{1}$$
Then, multiply by the reciprocal of the divisor.
$$\frac{1}{5}$$ × $$\frac{1}{8}$$
Multiply across numerators and denominators.
$$\frac{1 \times 1}{5 \times 8}$$ = $$\frac{1}{40}$$

c. $$\frac{1}{6}$$ ÷ 5 = _______________
$$\frac{1}{30}$$

Explanation:
Given,
$$\frac{1}{6}$$ ÷ 5
To divide a whole number by a fraction,
first write the whole number as a fraction.
$$\frac{1}{6}$$ ÷ $$\frac{5}{1}$$
Then, multiply by the reciprocal of the divisor.
$$\frac{1}{6}$$ × $$\frac{1}{5}$$
Multiply across numerators and denominators.
$$\frac{1 \times 1}{6 \times 5}$$ = $$\frac{1}{30}$$

d. $$\frac{1}{8}$$ ÷ 3 = _________________
$$\frac{1}{24}$$

Explanation:
Given,
$$\frac{1}{8}$$ ÷ 3
To divide a whole number by a fraction,
first write the whole number as a fraction.
$$\frac{1}{8}$$ ÷ $$\frac{3}{1}$$
Then, multiply by the reciprocal of the divisor.
$$\frac{1}{8}$$ × $$\frac{1}{3}$$
Multiply across numerators and denominators.
$$\frac{1 \times 1}{8 \times 3}$$= $$\frac{1}{24}$$

Question 2.
a. $$\frac{1}{3}$$ ÷ 12 = ________________
$$\frac{1}{36}$$

Explanation:
Given,
$$\frac{1}{3}$$ ÷ 12
To divide a whole number by a fraction,
first write the whole number as a fraction.
$$\frac{1}{3}$$ ÷ $$\frac{12}{1}$$
Then, multiply by the reciprocal of the divisor.
$$\frac{1}{3}$$ × $$\frac{1}{12}$$
Multiply across numerators and denominators.
$$\frac{1 \times 1}{3 \times 12}$$ = $$\frac{1}{36}$$

b. $$\frac{1}{7}$$ ÷ 2 = _______________
$$\frac{1}{14}$$

Explanation:
Given,
$$\frac{1}{7}$$ ÷ 2
To divide a whole number by a fraction,
first write the whole number as a fraction.
$$\frac{1}{7}$$ ÷ $$\frac{2}{1}$$
Then, multiply by the reciprocal of the divisor.
$$\frac{1}{7}$$ × $$\frac{1}{2}$$
Multiply across numerators and denominators.
$$\frac{1 \times 1}{7 \times 2}$$ = $$\frac{1}{14}$$

c. $$\frac{1}{9}$$ ÷ 10 = _______________
$$\frac{1}{90}$$

Explanation:
Given,
$$\frac{1}{9}$$ ÷ 10
To divide a whole number by a fraction,
first write the whole number as a fraction.
$$\frac{1}{9}$$ ÷ $$\frac{10}{1}$$
Then, multiply by the reciprocal of the divisor.
$$\frac{1}{9}$$ × $$\frac{1}{10}$$
Multiply across numerators and denominators.
$$\frac{1 \times 1}{9 \times 10}$$ = $$\frac{1}{90}$$

d. $$\frac{1}{6}$$ ÷ 6 = _________________
$$\frac{1}{36}$$

Explanation:
Given,
$$\frac{1}{6}$$ ÷ 6
To divide a whole number by a fraction,
first write the whole number as a fraction.
$$\frac{1}{6}$$ ÷ $$\frac{6}{1}$$
Then, multiply by the reciprocal of the divisor.
$$\frac{1}{6}$$ × $$\frac{1}{6}$$
Multiply across numerators and denominators.
$$\frac{1 \times 1}{6 \times 6}$$ = $$\frac{1}{36}$$

Question 3.
a. $$\frac{1}{4}$$ ÷ 12 = ________________
$$\frac{1}{48}$$

Explanation:
Given,
$$\frac{1}{4}$$ ÷ 12
To divide a whole number by a fraction,
first write the whole number as a fraction.
$$\frac{1}{4}$$ ÷ $$\frac{12}{1}$$
Then, multiply by the reciprocal of the divisor.
$$\frac{1}{4}$$ × $$\frac{1}{12}$$
Multiply across numerators and denominators.
$$\frac{1 \times 1}{4 \times 12}$$ = $$\frac{1}{48}$$

b. $$\frac{1}{8}$$ ÷ 5 = _______________
$$\frac{1}{40}$$

Explanation:
Given,
$$\frac{1}{8}$$ ÷ 5
To divide a whole number by a fraction,
first write the whole number as a fraction.
$$\frac{1}{8}$$ ÷ $$\frac{5}{1}$$
Then, multiply by the reciprocal of the divisor.
$$\frac{1}{8}$$ × $$\frac{1}{5}$$
Multiply across numerators and denominators.
$$\frac{1 \times 1}{8 \times 5}$$ = $$\frac{1}{40}$$

c. $$\frac{1}{8}$$ ÷ 6 = _______________
$$\frac{1}{48}$$

Explanation:
Given,
$$\frac{1}{8}$$ ÷ 6
To divide a whole number by a fraction,
first write the whole number as a fraction.
$$\frac{1}{8}$$ ÷ $$\frac{6}{1}$$
Then, multiply by the reciprocal of the divisor.
$$\frac{1}{8}$$ × $$\frac{1}{6}$$
Multiply across numerators and denominators.
$$\frac{1 \times 1}{8 \times 6}$$ = $$\frac{1}{48}$$

d. $$\frac{1}{10}$$ ÷ 4 = _________________
$$\frac{1}{40}$$

Explanation:
Given,
$$\frac{1}{10}$$ ÷ 4
To divide a whole number by a fraction,
first write the whole number as a fraction.
$$\frac{1}{10}$$ ÷ $$\frac{4}{1}$$
Then, multiply by the reciprocal of the divisor.
$$\frac{1}{10}$$ × $$\frac{1}{4}$$
Multiply across numerators and denominators.
$$\frac{1 \times 1}{10 \times 4}$$ = $$\frac{1}{40}$$

Question 4.
a. $$\frac{1}{5}$$ ÷ 12 = ________________
$$\frac{1}{60}$$

Explanation:
Given,
$$\frac{1}{5}$$ ÷ 12
To divide a whole number by a fraction,
first write the whole number as a fraction.
$$\frac{1}{5}$$ ÷ $$\frac{12}{1}$$
Then, multiply by the reciprocal of the divisor.
$$\frac{1}{5}$$ × $$\frac{1}{12}$$
Multiply across numerators and denominators.
$$\frac{1 \times 1}{5 \times 12}$$ = $$\frac{1}{60}$$

b. $$\frac{1}{7}$$ ÷ 7 = _______________
$$\frac{1}{49}$$

Explanation:
Given,
$$\frac{1}{7}$$ ÷ 7
To divide a whole number by a fraction,
first write the whole number as a fraction.
$$\frac{1}{7}$$ ÷ $$\frac{7}{1}$$
Then, multiply by the reciprocal of the divisor.
$$\frac{1}{7}$$ × $$\frac{1}{7}$$
Multiply across numerators and denominators.
$$\frac{1 \times 1}{7 \times 7}$$ = $$\frac{1}{49}$$

c. $$\frac{1}{6}$$ ÷ 8 = _______________
$$\frac{1}{48}$$

Explanation:
Given,
$$\frac{1}{6}$$ ÷ 8
To divide a whole number by a fraction,
first write the whole number as a fraction.
$$\frac{1}{6}$$ ÷ $$\frac{8}{1}$$
Then, multiply by the reciprocal of the divisor.
$$\frac{1}{6}$$ × $$\frac{1}{8}$$
Multiply across numerators and denominators.
$$\frac{1 \times 1}{6 \times 8}$$ = $$\frac{1}{48}$$

d. $$\frac{1}{12}$$ ÷ 5 = _________________
$$\frac{1}{60}$$

Explanation:
Given,
$$\frac{1}{12}$$ ÷ 5
To divide a whole number by a fraction,
first write the whole number as a fraction.
$$\frac{1}{12}$$ ÷ $$\frac{5}{1}$$
Then, multiply by the reciprocal of the divisor.
$$\frac{1}{12}$$ × $$\frac{1}{5}$$
Multiply across numerators and denominators.
$$\frac{1 \times 1}{12 \times 5}$$ = $$\frac{1}{60}$$

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