11. Вычислите: \(2\frac{5}{6} : \left(\frac{3}{8}-\frac{10}{3}\right)+8\cdot1\frac{1}{5}\).

\[\frac{3}{8}-\frac{10}{3}=\frac{9-80}{24}=-\frac{71}{24}.\]

\[2\frac{5}{6}=\frac{17}{6},\qquad \frac{17}{6}:\left(-\frac{71}{24}\right)=\frac{17}{6}\cdot\left(-\frac{24}{71}\right)=-\frac{68}{71}.\]

\[8\cdot1\frac{1}{5}=8\cdot\frac{6}{5}=\frac{48}{5}.\]

\[-\frac{68}{71}+\frac{48}{5}=\frac{-340+3408}{355}=\frac{3068}{355}.\]

Ответ: \(\frac{3068}{355}\).