Question

In the mathematics class, $\frac{4}{8}$ of the students are girls. Among those girls, $\frac{1}{5}$ of the girls don't like maths. What fraction of students in the class are girls who don't like maths?

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

Answer 1

The correct option is B $\frac{1}{10}$

$\text{Total number of girls in the class}=\frac{4}{8}\times \left(\text{total number of students}\right).$

Number of girls who don't like maths $=\frac{1}{5}\times$ total number of girls

$=\frac{1}{5}\times \frac{4}{8}\times \left(\text{total students}\right)$

$=\frac{4}{40}\times \left(\text{total students}\right)$

$=\frac{1}{10}\times \left(\text{total students}\right)$

Hence, $\frac{1}{10}$ fraction of students in the class are girls who don't like maths.