6) \(3\frac{5}{6}\cdot1\frac{7}{23}\)

\(3\frac{5}{6}=\frac{23}{6}\), \(1\frac{7}{23}=\frac{30}{23}\).

\(\frac{23}{6}\cdot\frac{30}{23}=5\).

Ответ: \(5\)