Вычислите: а) 29/35 - (13/18 + 2/9); Решите уравнение: а) 1 5/7 + x = 3 1/7

### №1. Вычислите a) $\frac{29}{35} - (\frac{13}{18} + \frac{2}{9}) = \frac{29}{35} - (\frac{13 + 4}{18}) = \frac{29}{35} - \frac{17}{18} = \frac{29 \cdot 18 - 17 \cdot 35}{630} = \frac{522 - 595}{630} = -\frac{73}{630}$ b) $\frac{5}{6} + \frac{7}{12} - \frac{5}{18} = \frac{30 + 21 - 10}{36} = \frac{41}{36} = 1\frac{5}{36}$ c) $\frac{29}{34} - (\frac{11}{17} + \frac{3}{17}) = \frac{29}{34} - \frac{14}{17} = \frac{29 - 28}{34} = \frac{1}{34}$ d) $\frac{7}{9} + \frac{5}{15} - \frac{17}{18} = \frac{7}{9} + \frac{1}{3} - \frac{17}{18} = \frac{14 + 6 - 17}{18} = \frac{3}{18} = \frac{1}{6}$ e) $13\frac{7}{9} - 7\frac{3}{5} = (13 - 7) + (\frac{7}{9} - \frac{3}{5}) = 6 + \frac{35 - 27}{45} = 6\frac{8}{45}$ ### №2. Решите уравнение a) $1\frac{5}{7} + x = 3\frac{1}{7}$ $x = 3\frac{1}{7} - 1\frac{5}{7}$ $x = 2\frac{8}{7} - 1\frac{5}{7}$ **Ответ: $x = 1\frac{3}{7}$** b) $(\frac{5}{6} - x) - \frac{1}{3} = \frac{5}{12}$ $\frac{5}{6} - x = \frac{5}{12} + \frac{4}{12}$ $\frac{5}{6} - x = \frac{9}{12}$ $\frac{5}{6} - x = \frac{3}{4}$ $x = \frac{5}{6} - \frac{3}{4} = \frac{10 - 9}{12}$ **Ответ: $x = \frac{1}{12}$** c) $1\frac{3}{5} + x = 2\frac{1}{5}$ $x = 2\frac{1}{5} - 1\frac{3}{5}$ $x = 1\frac{6}{5} - 1\frac{3}{5}$ **Ответ: $x = \frac{3}{5}$** d) $\frac{3}{4} - (\frac{7}{8} - x) = \frac{1}{8}$ $\frac{7}{8} - x = \frac{3}{4} - \frac{1}{8}$ $\frac{7}{8} - x = \frac{6 - 1}{8}$ $\frac{7}{8} - x = \frac{5}{8}$ $x = \frac{7}{8} - \frac{5}{8}$ **Ответ: $x = \frac{2}{8} = \frac{1}{4}$**