Question

Find the equivalent fraction of $\frac{2}{7}$ with numerator as 8.

• A. $\frac{8}{20}$
• B. $\frac{8}{28}$
• C. $\frac{8}{42}$
• D. $\frac{8}{19}$

Answer 1

The correct option is B $\frac{8}{28}$

Fractions that have different numerator and denominator but represent the same value are called equivalent fractions.
To find an equivalent fraction of a given fraction, we may multiply both the numerator and the denominator of the given fraction by the same number.

Given that the numerator of the equivalent fraction of $\frac{2}{7}$ is 8.
For the given fraction $\frac{2}{7}$, we multiply both the numerator and the denominator with 4. ($\because 4\times 2=8$)

$\frac{2}{7}=\frac{2\times 4}{7\times 4}=\frac{8}{\begin{array}{c}28\end{array}}$

Therefore, the required equivalent fraction of $\frac{2}{7}$ is $\frac{8}{28}.$