2. Вычислите: \(\frac{13}{14}\) - (2-\(\frac{11}{35}\)) : \(\frac{9}{25}\) + \(\frac{4}{21}\). Запишите полностью решение и ответ.

Решение:

1. \(2 - \frac{11}{35} = \frac{70}{35} - \frac{11}{35} = \frac{59}{35}\)
2. \(\frac{59}{35} : \frac{9}{25} = \frac{59}{35} \times \frac{25}{9} = \frac{59 \times 5}{7 \times 9} = \frac{295}{63}\)
3. \(\frac{13}{14} - \frac{295}{63} = \frac{13 \times 9}{14 \times 9} - \frac{295 \times 2}{63 \times 2} = \frac{117}{126} - \frac{590}{126} = -\frac{473}{126}\)
4. \(-\frac{473}{126} + \frac{4}{21} = -\frac{473}{126} + \frac{4 \times 6}{21 \times 6} = -\frac{473}{126} + \frac{24}{126} = -\frac{449}{126}\)

Ответ: -\(\frac{449}{126}\)