Class 7 Multiplication 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. Find

\frac{1}{2} \times \frac{1}{3}

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Answer: A)

\frac{1}{6}

Multiply numerators and denominators:

\frac{1 \times 1}{2 \times 3} = \frac{1}{6}

2. Convert and multiply:

1 \frac{1}{2} \times \frac{2}{3}

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Answer: A) 1

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

. Then

\frac{3}{2} \times \frac{2}{3} = \frac{6}{6} = 1

3. Find

\frac{3}{8} \times 16

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Answer: B) 6

\frac{3}{8} \times 16 = \frac{48}{8} = 6

4. A cyclist covers

\frac{2}{3}

of his journey on day one.
On day two he covers

\frac{3}{4}

of the remaining distance.
What fraction of the whole journey did he cover on day two?

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Answer: A)

\frac{1}{4}

Remaining after day one

= \frac{1}{3}

. Day two

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

of the whole journey.

5. A sweet shop in Lucknow prepared

\frac{7}{8}

of a 96-kg batch of laddoos.
Of the prepared laddoos,

\frac{2}{3}

were boxed for festival orders.
Each box holds 4 kg.
How many full boxes were filled?

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Answer: A) 14

Prepared

= \frac{7}{8} \times 96 = 84

kg. Boxed

= \frac{2}{3} \times 84 = 56

kg. Boxes

= 56/4 = 14

boxes.

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