#### Answer

$\frac{(5n+4)}{4}$

#### Work Step by Step

By inspection, we see that there is a common denominator of $8$. Therefore, we obtain:
$\frac{4n+3}{8}+\frac{6n+5}{8}$
=$\frac{4n+3+6n+5}{8}$
=$\frac{10n+8}{8}$
=$\frac{2(5n+4)}{8}$
=$\frac{(5n+4)}{4}$