135. Выполните действия:

Решение:

1. a) \( \left( 1\frac{3}{5} + 2\frac{1}{5} \right) : 1\frac{9}{10} + \left( 1\frac{7}{10} - \frac{4}{5} \right) : \frac{3}{7} \)
1. \( 1\frac{3}{5} + 2\frac{1}{5} = \frac{8}{5} + \frac{11}{5} = \frac{19}{5} \)
2. \( 1\frac{7}{10} - \frac{4}{5} = \frac{17}{10} - \frac{8}{10} = \frac{9}{10} \)
3. \( \frac{19}{5} : 1\frac{9}{10} = \frac{19}{5} : \frac{19}{10} = \frac{19}{5} \cdot \frac{10}{19} = 2 \)
4. \( \frac{9}{10} : \frac{3}{7} = \frac{9}{10} \cdot \frac{7}{3} = \frac{3 \cdot 7}{10} = \frac{21}{10} = 2\frac{1}{10} \)
5. \( 2 + 2\frac{1}{10} = 4\frac{1}{10} \)
2. б) \( 6\frac{3}{8} \cdot 1\frac{7}{17} - 2\frac{3}{8} : \frac{1}{4} + \frac{2}{5} \)
1. \( 6\frac{3}{8} \cdot 1\frac{7}{17} = \frac{51}{8} \cdot \frac{24}{17} = \frac{3 \cdot 3}{1} = 9 \)
2. \( 2\frac{3}{8} : \frac{1}{4} = \frac{19}{8} \cdot 4 = \frac{19}{2} = 9\frac{1}{2} \)
3. \( 9 - 9\frac{1}{2} + \frac{2}{5} = - \frac{1}{2} + \frac{2}{5} = -\frac{5}{10} + \frac{4}{10} = -\frac{1}{10} \)

Ответ: а) 4⅐; б) -⅙.