Answer
$\frac{n}{3}$
Work Step by Step
By inspection, we see that the LCM of the denominators is $30$. Therefore, we create a common denominator using this LCM and obtain:
$\frac{8n}{10}-\frac{7n}{15}$
=$\frac{3(8n)-2(7n)}{30}$
=$\frac{24n-14n}{30}$
=$\frac{10n}{30}$
=$\frac{n}{3}$