5. Вычислите: \( \frac{9}{22} - \frac{4}{9} : (3-1\frac{8}{15}) + \frac{8}{11} \)

Решение:

1. \( 3-1\frac{8}{15} = 3 - \frac{23}{15} = \frac{45-23}{15} = \frac{22}{15} \)
2. \( \frac{4}{9} : \frac{22}{15} = \frac{4}{9} \cdot \frac{15}{22} = \frac{4 \cdot 15}{9 \cdot 22} = \frac{2 \cdot 5}{3 \cdot 11} = \frac{10}{33} \)
3. \( \frac{9}{22} - \frac{10}{33} = \frac{9 \cdot 3 - 10 \cdot 2}{66} = \frac{27-20}{66} = \frac{7}{66} \)
4. \( \frac{7}{66} + \frac{8}{11} = \frac{7 + 8 \cdot 6}{66} = \frac{7+48}{66} = \frac{55}{66} = \frac{5}{6} \)

Ответ: \(5/6).