2. Вычислите: \( 1\frac{13}{14} - (2-1\frac{11}{35}) : \frac{9}{25} + \frac{4}{21} \)

Решение:

1. \( 1\frac{13}{14} = \frac{14+13}{14} = \frac{27}{14} \)
2. \( 2-1\frac{11}{35} = 2 - \frac{46}{35} = \frac{70-46}{35} = \frac{24}{35} \)
3. \( \frac{24}{35} : \frac{9}{25} = \frac{24}{35} \cdot \frac{25}{9} = \frac{24 \cdot 25}{35 \cdot 9} = \frac{8 \cdot 5}{7 \cdot 3} = \frac{40}{21} \)
4. \( \frac{40}{21} + \frac{4}{21} = \frac{44}{21} \)
5. \( \frac{27}{14} - \frac{44}{21} = \frac{27 \cdot 3 - 44 \cdot 2}{42} = \frac{81-88}{42} = \frac{-7}{42} = -\frac{1}{6} \)

Ответ: -\(1/6).