Question

Write a rational number equal to $\frac{4}{7}$ with 63 as the denominator.

• A. $\frac{12}{63}$
• B. $\frac{20}{63}$
• C. $\frac{36}{63}$
• D. $\frac{60}{63}$

Answer 1

The correct option is C

$\frac{36}{63}$

Consider given rational number $\frac{4}{7}$.

To make the denominator as 63, we have to multiply it with 9.

Multiplying both numerator and denominator by 9, we get

$\frac{4\times 9}{7\times 9}=\frac{36}{63}$

Therefore, $\frac{36}{63}$ is an equivalent rational number of $\frac{4}{7}$ with denominator equal to 63.