Question

Write a rational number equivalent to $\frac{2}{3}$​ whose numerator is 8.

• A. $\frac{8}{21}$
• B. $\frac{8}{12}$
• C. $\frac{8}{15}$
• D. $\frac{8}{20}$

Answer 1

The correct option is B

$\frac{8}{12}$

Consider $\frac{2}{3}$.

To make the numerator 8, we have to multiply the numerator by 4.

Therefore, multiplying both numerator and denominator by 4 gives the required number.

$\frac{2\times 4}{3\times 4}=\frac{8}{12}$

Therefore, required rational number is $\frac{8}{12}$.​