8. \(2\frac{2}{5}\cdot1\frac{7}{9}\)

Преобразуем смешанные числа: \(2\frac{2}{5}=\frac{12}{5}\), \(1\frac{7}{9}=\frac{16}{9}\).

\(\frac{12}{5}\cdot\frac{16}{9}=\frac{64}{15}=4\frac{4}{15}\).

Ответ: \(4\frac{4}{15}\)