Ответ:

\( -\frac{7}{3}+\frac{1}{2}=-\frac{11}{6} \).

\( \frac{5}{6}-\left(-\frac{11}{6}\right)=\frac{16}{6}=\frac{8}{3} \).

\( -\frac{3}{4}\cdot\frac{8}{3}=-2 \).

\( \frac{5}{8}:\left(-\frac{15}{16}\right)=\frac{5}{8}\cdot\left(-\frac{16}{15}\right)=-\frac{2}{3} \).

Ответ: \(-\frac{8}{3}\).