2. Вычислите: $$-2 + (\frac{11}{24} + \frac{5}{6}) : \frac{15}{16} - \frac{2}{5}$$

Решим пример по действиям: 1. $$\frac{11}{24} + \frac{5}{6} = \frac{11}{24} + \frac{20}{24} = \frac{31}{24}$$ 2. $$\frac{31}{24} : \frac{15}{16} = \frac{31}{24} \cdot \frac{16}{15} = \frac{31}{3 \cdot 8} \cdot \frac{2 \cdot 8}{15} = \frac{31 \cdot 2}{3 \cdot 15} = \frac{62}{45}$$ 3. $$-2 + \frac{62}{45} = -\frac{90}{45} + \frac{62}{45} = -\frac{28}{45}$$ 4. $$-\frac{28}{45} - \frac{2}{5} = -\frac{28}{45} - \frac{18}{45} = -\frac{46}{45}$$ Ответ: $$-\frac{46}{45}$$