14. \(\left(\dfrac{1}{30}+\dfrac{7}{10}\right)\cdot6\)

Приведём дроби к знаменателю 30: \(\dfrac{7}{10}=\dfrac{21}{30}\).

\(\dfrac{1}{30}+\dfrac{21}{30}=\dfrac{22}{30}=\dfrac{11}{15}\).

\(\dfrac{11}{15}\cdot6=\dfrac{66}{15}=\dfrac{22}{5}\).

Ответ: \(\dfrac{22}{5}\).