Решение:

$$ \left(\frac{14}{11} + \frac{17}{10}\right) \cdot \frac{11}{15} = \left(\frac{14 \cdot 10}{11 \cdot 10} + \frac{17 \cdot 11}{10 \cdot 11}\right) \cdot \frac{11}{15} = \left(\frac{140}{110} + \frac{187}{110}\right) \cdot \frac{11}{15} = \frac{140 + 187}{110} \cdot \frac{11}{15} = \frac{327}{110} \cdot \frac{11}{15} = \frac{327 \cdot 11}{110 \cdot 15} = \frac{327}{10 \cdot 15} = \frac{327}{150} = \frac{109}{50} = 2\frac{9}{50} = 2.18 $$

Ответ: 2.18