6. Вычислите: \(\left(\frac{14}{11}+\frac{17}{10}\right)\cdot\frac{11}{15}\).

\(\frac{14}{11}+\frac{17}{10}=\frac{140+187}{110}=\frac{327}{110}\).

\(\frac{327}{110}\cdot\frac{11}{15}=\frac{327}{150}=\frac{109}{50}\).

Ответ: \(\frac{109}{50}\).