14 Тип 13 № 1710. Вычислите: (2\frac{4}{13} \cdot (8\frac{3}{8} - \frac{4}{15}) - 11:5\frac{1}{2}). Запишите полностью решение и ответ.

Решим пример по действиям: 1) (8\frac{3}{8} - \frac{4}{15}) = \(\frac{67}{8} - \frac{4}{15}\) = \(\frac{67 \cdot 15 - 4 \cdot 8}{8 \cdot 15}\) = \(\frac{1005 - 32}{120}\) = \(\frac{973}{120}\) 2) (2\frac{4}{13} \cdot \frac{973}{120}) = \(\frac{30}{13} \cdot \frac{973}{120}\) = \(\frac{30 \cdot 973}{13 \cdot 120}\) = \(\frac{29190}{1560}\) = \(\frac{973}{52}\) 3) (11:5\frac{1}{2}) = \(11:\frac{11}{2}\) = \(11 \cdot \frac{2}{11}\) = 2 4) \(\frac{973}{52} - 2\) = \(\frac{973 - 2 \cdot 52}{52}\) = \(\frac{973 - 104}{52}\) = \(\frac{869}{52}\) = \(16\frac{37}{52}\) Ответ: (16\frac{37}{52})