2. \(\frac{7}{18}\cdot\frac{9}{14}+\frac{1}{3}\cdot\frac{6}{7}\)

\(\frac{7}{18}\cdot\frac{9}{14}=\frac{1}{4}\), \(\frac{1}{3}\cdot\frac{6}{7}=\frac{2}{7}\).

\(\frac{1}{4}+\frac{2}{7}=\frac{7}{28}+\frac{8}{28}=\frac{15}{28}\).

Ответ: \(\frac{15}{28}\).