11. Вычислите: \(\frac{5}{6}\) + (2-\(\frac{23}{35}\)) : \(\frac{9}{25}\) - 1\(\frac{2}{7}\). Запишите полностью решение и ответ.

Решение:

1. \(2 - \frac{23}{35} = \frac{70}{35} - \frac{23}{35} = \frac{47}{35}\)
2. \(\frac{47}{35} : \frac{9}{25} = \frac{47}{35} \times \frac{25}{9} = \frac{47 \times 5}{7 \times 9} = \frac{235}{63}\)
3. \(\frac{5}{6} + \frac{235}{63} = \frac{5 \times 21}{6 \times 21} + \frac{235 \times 2}{63 \times 2} = \frac{105}{126} + \frac{470}{126} = \frac{575}{126}\)
4. \(\frac{575}{126} - 1\frac{2}{7} = \frac{575}{126} - \frac{9}{7} = \frac{575}{126} - \frac{9 \times 18}{7 \times 18} = \frac{575}{126} - \frac{162}{126} = \frac{413}{126}\)

Ответ: \(\frac{413}{126}\)