# $\frac{1}{9}: \frac{1}{81}, \frac{1}{13} : \ ?$

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$\frac{1}{9}: \frac{1}{81}, \frac{1}{13} : \ ?$
1. $\frac{1}{169}$
2. $\frac{1}{125}$
3. $\frac{1}{120}$
4. $\frac{1}{127}$

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Correct Answer - Option 1 : $\frac{1}{169}$

The pattern followed here is, In the first fraction the square of the denominator is taken in the next fraction. Following this pattern the fraction that is related to $\frac{1}{13}$ must be $\frac{1}{169}$ as (13)2 = 169.

Hence, $\frac{1}{169}$ is the correct answer.