6. \(2\frac{1}{2}\cdot4\frac{2}{15}\)

\(2\frac{1}{2}=\frac{5}{2}\), \(4\frac{2}{15}=\frac{62}{15}\).

\(\frac{5}{2}\cdot\frac{62}{15}=\frac{31}{3}=10\frac{1}{3}\).

Ответ: \(10\frac{1}{3}\)