Вычислите: \( \frac{5}{12} \cdot \left( 1 - \frac{3}{5} + \frac{25}{12} \right) \).

\( \frac{5}{12} \cdot \left( 1 - \frac{3}{5} + \frac{25}{12} \right) = \frac{5}{12} \cdot \left( \frac{60}{60} - \frac{36}{60} + \frac{125}{60} \right) = \frac{5}{12} \cdot \frac{149}{60} = \frac{745}{720} \). Ответ: \( \frac{745}{720} \).