7. Выполните действия: \((14-2\frac{1}{11}:\frac{7}{18}):4\frac{7}{8}\).

\(2\frac{1}{11}=\frac{23}{11}\), \(4\frac{7}{8}=\frac{39}{8}\).

\[\left(14-\frac{23}{11}:\frac{7}{18}\right):\frac{39}{8}=\left(14-\frac{23}{11}\cdot\frac{18}{7}\right)\cdot\frac{8}{39}.\]

\[\frac{23}{11}\cdot\frac{18}{7}=\frac{414}{77},\qquad 14=\frac{1078}{77}.\]

\[\left(\frac{1078}{77}-\frac{414}{77}\right)\cdot\frac{8}{39}=\frac{664}{77}\cdot\frac{8}{39}=\frac{5312}{3003}.\]

Ответ: \(\frac{5312}{3003}\).