2. \(\frac{9}{14}\cdot\frac{7}{27}\)

Сократим множители: \(\frac{9}{27}=\frac{1}{3}\), \(\frac{7}{14}=\frac{1}{2}\).

\(\frac{9}{14}\cdot\frac{7}{27}=\frac{1}{2}\cdot\frac{1}{3}=\frac{1}{6}\).

Ответ: \(\frac{1}{6}\).