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 = ________________

Answer:

\(\frac{1}{9}\)

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 = _______________

Answer:

\(\frac{1}{40}\)

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 = _______________

Answer:

\(\frac{1}{30}\)

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 = _________________

Answer:

\(\frac{1}{24}\)

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 = ________________

Answer:

\(\frac{1}{36}\)

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 = _______________

Answer:

\(\frac{1}{14}\)

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 = _______________

Answer:

\(\frac{1}{90}\)

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 = _________________

Answer:

\(\frac{1}{36}\)

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 = ________________

Answer:

\(\frac{1}{48}\)

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 = _______________

Answer:

\(\frac{1}{40}\)

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 = _______________

Answer:

\(\frac{1}{48}\)

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 = _________________

Answer:

\(\frac{1}{40}\)

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 = ________________

Answer:

\(\frac{1}{60}\)

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 = _______________

Answer:

\(\frac{1}{49}\)

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 = _______________

Answer:

\(\frac{1}{48}\)

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 = _________________

Answer:

\(\frac{1}{60}\)

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.

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