Class 7 Division of Fractions — practice questions with answers

Fractions and Decimals · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.

1. What is the reciprocal of

\frac{5}{7}

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Answer: A)

\frac{7}{5}

The reciprocal of a/b is b/a. So the reciprocal of

\frac{5}{7}

\frac{7}{5}

2. Compute

\frac{1}{4} \div \frac{1}{8}

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Answer: D) 2

\frac{1}{4} \div \frac{1}{8} = \frac{1}{4} \times \frac{8}{1} = \frac{8}{4} = 2

3. Compute

3 \frac{1}{3} \div 1 \frac{2}{3}

(both are mixed numbers).

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Answer: A) 2

3 \frac{1}{3} = \frac{10}{3}

and

1 \frac{2}{3} = \frac{5}{3}

. Then

\frac{10}{3} \div \frac{5}{3} = \frac{10}{3} \times \frac{3}{5} = \frac{30}{15} = 2

4. The product of two fractions is

\frac{6}{35}

.
One of the fractions is

\frac{2}{5}

.
What is the other fraction? Give the answer in simplest form.

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Answer: A)

\frac{3}{7}

Other fraction = product ÷ known =

\frac{6}{35} \div \frac{2}{5} = \frac{6}{35} \times \frac{5}{2} = \frac{30}{70} = \frac{3}{7}

5. Two-thirds of a sum of money is ₹240.
What is the full sum of money (in ₹)?

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Answer: A) 360

\frac{2}{3}

of the sum = 240, then the full sum = 240 ÷

\frac{2}{3} = 240 \times \frac{3}{2} = \frac{720}{2} = 360

. So the full sum is ₹360.

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