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BECE Mathematics 2025 Paper

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Question : 16

Total: 40

A trader sold half of a piece of cloth and used two-fifths of the remaining to sew a dress. What fraction of the cloth was left?

$\frac{1}{10}$
$\frac{3}{10}$
$\frac{1}{5}$
$\frac{1}{2}$

Solution:

Concept:

Find the fractional part left after subtracting the pieces used from the original cloth.

Explanation:

The trader sold half, so the remaining cloth is:

1 - \frac{1}{2} = \frac{1}{2}

Then she used two-fifths of this remaining cloth:

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

So the fraction left is:

\frac{1}{2} - \frac{1}{5} = \frac{5}{10} - \frac{2}{10} = \frac{3}{10}

Answer:

\frac{3}{10}

(Option B)

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