#### Answer

$\frac{(n+7)}{8}$

#### Work Step by Step

We factor the expression in the denominator by taking out $8$ as the common factor. Since the numerator consists of a trinomial, we use the rules of factoring trinomials in order to factor it. Then, we cancel out the resultant common factors in the numerator and the denominator:
$\frac{n^{2}+14n+49}{8n+56}$
=$\frac{n^{2}+7n+7n+49}{8(n+7)}$
=$\frac{n(n+7)+7(n+7)}{8(n+7)}$
=$\frac{(n+7)(n+7)}{8(n+7)}$
=$\frac{(n+7)}{8}$