4. Вычислите: 14 - (2 - 1\frac{11}{35}) : \frac{9}{25} + \frac{4}{21}. Запишите полностью решение и ответ.

4. Вычислите: $$1\frac{13}{14} - \left(2 - 1\frac{11}{35}\right) : \frac{9}{25} + \frac{4}{21}$$. Запишите полностью решение и ответ.

$$1\frac{13}{14} - \left(2 - 1\frac{11}{35}\right) : \frac{9}{25} + \frac{4}{21} = \frac{14+13}{14} - \left(\frac{2}{1} - \frac{35+11}{35}\right) : \frac{9}{25} + \frac{4}{21} = \frac{27}{14} - \left(\frac{2}{1} - \frac{46}{35}\right) : \frac{9}{25} + \frac{4}{21} = \frac{27}{14} - \left(\frac{2 \cdot 35}{1 \cdot 35} - \frac{46}{35}\right) : \frac{9}{25} + \frac{4}{21} = \frac{27}{14} - \left(\frac{70}{35} - \frac{46}{35}\right) : \frac{9}{25} + \frac{4}{21} = \frac{27}{14} - \frac{70-46}{35} : \frac{9}{25} + \frac{4}{21} = \frac{27}{14} - \frac{24}{35} : \frac{9}{25} + \frac{4}{21} = \frac{27}{14} - \frac{24}{35} \cdot \frac{25}{9} + \frac{4}{21} = \frac{27}{14} - \frac{24 \cdot 25}{35 \cdot 9} + \frac{4}{21} = \frac{27}{14} - \frac{8 \cdot 5}{7 \cdot 3} + \frac{4}{21} = \frac{27}{14} - \frac{40}{21} + \frac{4}{21} = \frac{27}{14} - \frac{40-4}{21} = \frac{27}{14} - \frac{36}{21} = \frac{27}{14} - \frac{12}{7} = \frac{27}{14} - \frac{12 \cdot 2}{7 \cdot 2} = \frac{27}{14} - \frac{24}{14} = \frac{27-24}{14} = \frac{3}{14}$$

Ответ: $$\frac{3}{14}$$