#### Answer

$\frac{14}{13}-\frac{21i}{13}$

#### Work Step by Step

$\frac{7}{2+3i}$
=$\frac{7}{2+3i}\times\frac{2-3i}{2-3i}$
=$\frac{7(2-3i)}{(2+3i)(2-3i)}$
=$\frac{14-21i}{2^{2}-(3i)^{2}}$
=$\frac{14-21i}{4-9i^{2}}$
=$\frac{14-21i}{4-9(-1)}$
=$\frac{14-21i}{13}$
=$\frac{14}{13}-\frac{21i}{13}$