2. Найдите значение выражения \(\frac{9}{14}+\frac{10}{21}:\frac{5}{23}\).

\(\frac{9}{14}+\frac{10}{21}:\frac{5}{23}=\frac{9}{14}+\frac{10}{21}\cdot\frac{23}{5}=\frac{9}{14}+\frac{46}{21}\).

\(\frac{9}{14}+\frac{46}{21}=\frac{27}{42}+\frac{92}{42}=\frac{119}{42}=\frac{17}{6}\).

Ответ: \(\frac{17}{6}\).