AMC 8 1987 Problem 11

The sum $2\frac17+3\frac12+5\frac{1}{19}$ is between $\text{(A)}\ 10\text{ and }10\frac12 \text{(B)}\ 10\frac12 \text{ and } 11 \text{(C)}\ 11\text{ and }11\frac12 \text{(D)}\ 11\frac12 \text{ and }12 \text{(E)}\ 12\text{ and }12\frac12$