Answer
$\frac{24}{25}$
Work Step by Step
$\frac{3}{5}$ $\div$ $\frac{5}{8}$
Find the reciprocal of the divisor $\frac{5}{8}$ is $\frac{8}{5}$
Use $\frac{8}{5}$ reciprocal of $\frac{5}{8}$ and multiply
$\frac{3}{5}$ * $\frac{8}{5}$
$\frac{3 * 8}{5 * 5}$ = $\frac{24}{25}$
$\frac{24}{25}$ is in lowest term