10. Вычислите: \(\frac{3}{4}\) + (2-\(\frac{11}{21}\)) : \(\frac{4}{9}\) - 1\(\frac{4}{7}\). Запишите полностью решение и ответ.

Решение:

1. \(2 - \frac{11}{21} = \frac{42}{21} - \frac{11}{21} = \frac{31}{21}\)
2. \(\frac{31}{21} : \frac{4}{9} = \frac{31}{21} \times \frac{9}{4} = \frac{31 \times 3}{7 \times 4} = \frac{93}{28}\)
3. \(\frac{3}{4} + \frac{93}{28} = \frac{3 \times 7}{4 \times 7} + \frac{93}{28} = \frac{21}{28} + \frac{93}{28} = \frac{114}{28} = \frac{57}{14}\)
4. \(\frac{57}{14} - 1\frac{4}{7} = \frac{57}{14} - \frac{11}{7} = \frac{57}{14} - \frac{11 \times 2}{7 \times 2} = \frac{57}{14} - \frac{22}{14} = \frac{35}{14} = \frac{5}{2}\)

Ответ: \(\frac{5}{2}\)