Question

Find the equivalent fraction of $\frac{4}{9}$ with numerator as 16.

• A. $\frac{16}{18}$
• B. $\frac{16}{45}$
• C. $\frac{16}{27}$
• D. $\frac{16}{36}$

Answer 1

The correct option is D $\frac{16}{36}$

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 $\frac{4}{9}$ is 16.

For the given fraction $\frac{4}{9}$, we multiply both the numerator and the denominator with 4. ($\because 4\times 4=16$)

$\frac{4}{9}=\frac{4\times 4}{9\times 4}=\frac{16}{\begin{array}{c}36\end{array}}$

Therefore, the required equivalent fraction of $\frac{4}{9}$ is $\frac{16}{36}.$