37. \(2\frac{1}{3}:1\frac{1}{6}\cdot\frac{3}{7}\)

\(\frac{7}{3}:\frac{7}{6}\cdot\frac{3}{7}=2\cdot\frac{3}{7}=\frac{6}{7}\).

Ответ: \(\frac{6}{7}\)