Question

If we multiply a fraction by itself, the fraction thus obtained is $\frac{16}{81}$. The original fraction is?

• A. $\frac{8}{27}$
• B. $2\frac{2}{3}$
• C. $2\frac{1}{3}$
• D. $\frac{4}{9}$

Answer 1

The correct option is D $\frac{4}{9}$

Let the original fraction be $\frac{x}{y}$.

$\Rightarrow$ According to the given question,

$\Rightarrow$ $\frac{x}{y}\times \frac{x}{y}=\frac{16}{81}$

$\Rightarrow$ ${\left(\frac{x}{y}\right)}^2=\frac{16}{81}$

$\to$ Taking square root on both sides we get,

$\Rightarrow$ $\frac{x}{y}=\frac{4}{9}$