Question

$\frac{1}{2}$ of the students in a college are boys, $\frac{4}{5}$ of these boys take commerce courses. What fraction of the boys take commerce?

• A. $\frac{1}{10}$
• B. $\frac{2}{5}$
• C. $\frac{1}{5}$
• D. $\frac{4}{25}$

Answer 1

The correct option is B $\frac{2}{5}$

Fraction of boys who takes commerce $=\frac{4}{5}\text{of}\frac{1}{2}$

$=\frac{4}{5}\times \frac{1}{2}$

To multiply the fractions multiply the top numbers and multiply the bottom numbers

$=\frac{4\times 1}{5\times 2}$

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

$=\frac{2}{5}$
Hence, $\frac{2}{5}$ of the boys has taken commerce.