Answer
$\displaystyle \frac{3}{5}$
Work Step by Step
Dividing with a rational expression $\displaystyle \frac{A}{B},\ \ \ B\neq 0$
is equal to multiplying with its reciprocal $\displaystyle \frac{B}{A},\ \ A\neq 0$
$\displaystyle \frac{x}{5}\div\frac{x}{3}=\frac{x}{5}\times\frac{3}{x}\qquad $... there is a common factor, $x$. Reduce.
$=\displaystyle \frac{1}{5}\times\frac{3}{1}$
= $\displaystyle \frac{3}{5}$
