8) \(3\frac{4}{9}:(1\frac{5}{9}-\frac{4}{7})\)

\(3\frac{4}{9}=\frac{31}{9}\), \(1\frac{5}{9}=\frac{14}{9}\).

\(1\frac{5}{9}-\frac{4}{7}=\frac{14}{9}-\frac{4}{7}=\frac{98-36}{63}=\frac{62}{63}\).

\(\frac{31}{9}:\frac{62}{63}=\frac{31}{9}\cdot\frac{63}{62}=\frac{7}{2}\).

Ответ: \(3\frac{1}{2}\).