8. Вычислите: \(2\frac{1}{2} : \left(\frac{11}{12}-\frac{14}{3}\right)+11\cdot1\frac{7}{8}\).

\[2\frac{1}{2}=\frac{5}{2},\qquad 1\frac{7}{8}=\frac{15}{8}.\]

\[\frac{11}{12}-\frac{14}{3}=\frac{11}{12}-\frac{56}{12}=-\frac{45}{12}=-\frac{15}{4}.\]

\[\frac{5}{2}:\left(-\frac{15}{4}\right)=-\frac{2}{3},\qquad 11\cdot\frac{15}{8}=\frac{165}{8}.\]

\[-\frac{2}{3}+\frac{165}{8}=\frac{-16+495}{24}=\frac{479}{24}.\]

Ответ: \(\frac{479}{24}\).