№2. Вычислите: a) $$1\frac{1}{8} + (\frac{3}{4})^2 : 1\frac{1}{2}$$ б) $$9\frac{5}{7} + (\frac{2}{3})^2 : 1\frac{5}{9}$$ в) $$3\frac{1}{4} \cdot 24 + 4\frac{2}{5} : \frac{1}{15} + 5\frac{5}{12} : \frac{5}{6}$$

Решение: а) $$1\frac{1}{8} + (\frac{3}{4})^2 : 1\frac{1}{2} = \frac{9}{8} + \frac{9}{16} : \frac{3}{2} = \frac{9}{8} + \frac{9}{16} \cdot \frac{2}{3} = \frac{9}{8} + \frac{3}{8} = \frac{12}{8} = \frac{3}{2} = 1\frac{1}{2}$$ Ответ: $$1\frac{1}{2}$$ б) $$9\frac{5}{7} + (\frac{2}{3})^2 : 1\frac{5}{9} = \frac{68}{7} + \frac{4}{9} : \frac{14}{9} = \frac{68}{7} + \frac{4}{9} \cdot \frac{9}{14} = \frac{68}{7} + \frac{2}{7} = \frac{70}{7} = 10$$ Ответ: 10 в) $$3\frac{1}{4} \cdot 24 + 4\frac{2}{5} : \frac{1}{15} + 5\frac{5}{12} : \frac{5}{6} = \frac{13}{4} \cdot 24 + \frac{22}{5} : \frac{1}{15} + \frac{65}{12} : \frac{5}{6} = 13 \cdot 6 + \frac{22}{5} \cdot 15 + \frac{65}{12} \cdot \frac{6}{5} = 78 + 22 \cdot 3 + \frac{13}{2} = 78 + 66 + 6\frac{1}{2} = 144 + 6\frac{1}{2} = 150\frac{1}{2}$$ Ответ: $$150\frac{1}{2}$$