AMC 8 1988 Problem 15

The reciprocal of $\left( \frac{1}{2}+\frac{1}{3}\right)$ is $\text{(A)}\ \frac{1}{6} \text{(B)}\ \frac{2}{5} \text{(C)}\ \frac{6}{5} \text{(D)}\ \frac{5}{2} \text{(E)}\ 5$