Вычисли значения выражений: 1. a) 5/6 * (3/10 + 1 1/2)

Конечно, давай решим эти примеры вместе! 1. a) $\frac{5}{6} \cdot (\frac{3}{10} + 1\frac{1}{2}) = \frac{5}{6} \cdot (\frac{3}{10} + \frac{3}{2}) = \frac{5}{6} \cdot (\frac{3}{10} + \frac{15}{10}) = \frac{5}{6} \cdot \frac{18}{10} = \frac{5}{6} \cdot \frac{9}{5} = \frac{9}{6} = \frac{3}{2} = 1\frac{1}{2}$ б) $1\frac{1}{5} \cdot (\frac{3}{4} - \frac{1}{3}) = \frac{6}{5} \cdot (\frac{9}{12} - \frac{4}{12}) = \frac{6}{5} \cdot \frac{5}{12} = \frac{6}{12} = \frac{1}{2}$ 2. a) $\frac{3}{10} \cdot \frac{5}{7} + \frac{11}{14} = \frac{3}{2} \cdot \frac{1}{7} + \frac{11}{14} = \frac{3}{14} + \frac{11}{14} = \frac{14}{14} = 1$ б) $\frac{11}{15} + \frac{2}{3} \cdot \frac{9}{10} = \frac{11}{15} + \frac{1}{1} \cdot \frac{3}{5} = \frac{11}{15} + \frac{3}{5} = \frac{11}{15} + \frac{9}{15} = \frac{20}{15} = \frac{4}{3} = 1\frac{1}{3}$ 3. a) $\frac{8}{9} : (\frac{3}{4} + \frac{1}{2}) = \frac{8}{9} : (\frac{3}{4} + \frac{2}{4}) = \frac{8}{9} : \frac{5}{4} = \frac{8}{9} \cdot \frac{4}{5} = \frac{32}{45}$ б) $(\frac{2}{3} + \frac{2}{7}) : 1\frac{1}{14} = (\frac{14}{21} + \frac{6}{21}) : \frac{15}{14} = \frac{20}{21} : \frac{15}{14} = \frac{20}{21} \cdot \frac{14}{15} = \frac{4}{3} \cdot \frac{2}{3} = \frac{8}{9}$ 4. a) $\frac{4}{15} + \frac{3}{8} : \frac{5}{16} = \frac{4}{15} + \frac{3}{8} \cdot \frac{16}{5} = \frac{4}{15} + \frac{3}{1} \cdot \frac{2}{5} = \frac{4}{15} + \frac{6}{5} = \frac{4}{15} + \frac{18}{15} = \frac{22}{15} = 1\frac{7}{15}$ б) $1\frac{1}{2} - \frac{1}{6} : \frac{4}{21} = \frac{3}{2} - \frac{1}{6} \cdot \frac{21}{4} = \frac{3}{2} - \frac{1}{2} \cdot \frac{7}{4} = \frac{3}{2} - \frac{7}{8} = \frac{12}{8} - \frac{7}{8} = \frac{5}{8}$ **Ответы:** 1. a) $1\frac{1}{2}$ б) $\frac{1}{2}$ 2. a) $1$ б) $1\frac{1}{3}$ 3. a) $\frac{32}{45}$ б) $\frac{8}{9}$ 4. a) $1\frac{7}{15}$ б) $\frac{5}{8}$