# Question #4c0f4

May 14, 2016

$\frac{5}{8}$

#### Explanation:

Let the fraction be $\frac{p}{q}$.

Then, $\frac{p + q}{q - p} = \frac{13}{3}$.

So, $\frac{\left(p + q\right) + \left(q - p\right)}{\left(p + q\right) - \left(q - p\right)} = \frac{13 + 3}{13 - 3}$. Eimplifying,

$\frac{q}{p} = \frac{16}{10}$. , and the lower form of $\frac{p}{q} = \frac{5}{8}$ satisfies the last condition.