Answer
$\dfrac{4}{15}$
Work Step by Step
Make the fractions inside the parentheses similar using their LCD of $6$ to obtain:
\begin{align*}
&=\left(\frac{3}{6}-\frac{2}{6}\right) \div \frac{5}{8}\\\\
&=\frac{1}{6} \div \frac{5}{8}
\end{align*}
Use the rule $\dfrac{a}{b} \div \dfrac{c}{d}=\dfrac{a}{b} \times \dfrac{d}{c}$ to obtain:
\begin{align*}
\require{cancel}
\frac{1}{6} \div \frac{5}{8}&=\frac{1}{6} \times \frac{8}{5}\\\\
&=\frac{1}{\cancel{6}3} \times \frac{\cancel{8}4}{5}\\\\
&=\frac{1(4)}{3(5)}\\\\
&=\frac{4}{15}
\end{align*}
