#### Answer

$\frac{(x+2)}{(x-7)}$

#### Work Step by Step

We first factor the denominator and numerator of the fraction:
Step 1: $\frac{x^{2}+2x}{x^{2}-7x}$
Step 2: $\frac{x(x+2)}{x(x-7)}$
Finally, we cancel out the common factor of x to obtain:
Step 3: $\frac{(x+2)}{(x-7)}$