Вычислите: $$2\frac{1}{2}:(\frac{11}{12} - \frac{14}{3}) + 11 \cdot 1\frac{7}{8}$$

$$\begin{aligned} &2\frac{1}{2} : (\frac{11}{12} - \frac{14}{3}) + 11 \cdot 1\frac{7}{8} = \frac{5}{2} : (\frac{11}{12} - \frac{56}{12}) + 11 \cdot \frac{15}{8} = \frac{5}{2} : (\frac{-45}{12}) + \frac{165}{8} = \\ &= \frac{5}{2} : (\frac{-15}{4}) + \frac{165}{8} = \frac{5}{2} \cdot \frac{-4}{15} + \frac{165}{8} = \frac{-20}{30} + \frac{165}{8} = \frac{-2}{3} + \frac{165}{8} = \frac{-16}{24} + \frac{495}{24} = \frac{479}{24} = 19\frac{23}{24} \end{aligned}$$ Ответ: $$19\frac{23}{24}$$