Вычислите: 2 4/15 - (2 - 1 1/15) : 4/9 + 2/3. Запишите полностью решение и ответ.

1. $2\frac{4}{15} - (2 - 1\frac{1}{15}) : \frac{4}{9} + \frac{2}{3} = 2\frac{4}{15} - \frac{14}{15} : \frac{4}{9} + \frac{2}{3} = 2\frac{4}{15} - \frac{14}{15} \cdot \frac{9}{4} + \frac{2}{3} = 2\frac{4}{15} - \frac{7 \cdot 3}{5 \cdot 2} + \frac{2}{3} = 2\frac{4}{15} - 2\frac{1}{10} + \frac{2}{3} = \frac{34}{15} - \frac{21}{10} + \frac{2}{3} = \frac{68 - 63 + 20}{30} = \frac{25}{30} = \frac{5}{6}$. **Ответ: 5/6**. 2. $1\frac{13}{14} - (2 - 1\frac{11}{35}) : \frac{9}{25} + \frac{4}{21} = 1\frac{13}{14} - \frac{24}{35} : \frac{9}{25} + \frac{4}{21} = 1\frac{13}{14} - \frac{24}{35} \cdot \frac{25}{9} + \frac{4}{21} = 1\frac{13}{14} - \frac{8 \cdot 5}{7 \cdot 3} + \frac{4}{21} = 1\frac{13}{14} - 1\frac{19}{21} + \frac{4}{21} = \frac{27}{14} - \frac{40}{21} + \frac{4}{21} = \frac{81 - 80 + 8}{42} = \frac{9}{42} = \frac{3}{14}$. **Ответ: 3/14**. 3. $3\frac{9}{10} - (2 - 1\frac{11}{35}) : \frac{9}{49} + \frac{1}{2} = 3\frac{9}{10} - \frac{24}{35} : \frac{9}{49} + \frac{1}{2} = 3\frac{9}{10} - \frac{24}{35} \cdot \frac{49}{9} + \frac{1}{2} = 3\frac{9}{10} - \frac{8 \cdot 7}{5 \cdot 3} + \frac{1}{2} = 3\frac{9}{10} - 3\frac{11}{15} + \frac{1}{2} = \frac{39}{10} - \frac{56}{15} + \frac{1}{2} = \frac{117 - 112 + 15}{30} = \frac{20}{30} = \frac{2}{3}$. **Ответ: 2/3**. 4. $\frac{9}{10} + \frac{4}{9} : (2 - 1\frac{11}{21}) - 1\frac{2}{3} = \frac{9}{10} + \frac{4}{9} : \frac{10}{21} - 1\frac{2}{3} = \frac{9}{10} + \frac{4}{9} \cdot \frac{21}{10} - 1\frac{2}{3} = \frac{9}{10} + \frac{2 \cdot 7}{3 \cdot 5} - 1\frac{2}{3} = \frac{9}{10} + \frac{14}{15} - \frac{5}{3} = \frac{27 + 28 - 50}{30} = \frac{5}{30} = \frac{1}{6}$. **Ответ: 1/6**. 5. $\frac{9}{22} - \frac{4}{9} : (3 - 1\frac{8}{15}) + \frac{8}{11} = \frac{9}{22} - \frac{4}{9} : 1\frac{7}{15} + \frac{8}{11} = \frac{9}{22} - \frac{4}{9} : \frac{22}{15} + \frac{8}{11} = \frac{9}{22} - \frac{4}{9} \cdot \frac{15}{22} + \frac{8}{11} = \frac{9}{22} - \frac{2 \cdot 5}{3 \cdot 11} + \frac{8}{11} = \frac{9}{22} - \frac{10}{33} + \frac{8}{11} = \frac{27 - 20 + 48}{66} = \frac{55}{66} = \frac{5}{6}$. **Ответ: 5/6**.