4) \(\frac{11}{36}:\frac{2}{9}\cdot\frac{8}{77}=\)

\[\frac{11}{36}:\frac{2}{9}\cdot\frac{8}{77}=\frac{11}{36}\cdot\frac{9}{2}\cdot\frac{8}{77}\]

Сократим: \(11\) и \(77\), \(9\) и \(36\), \(8\) и \(2\):

\[\frac{1}{4}\cdot\frac{1}{1}\cdot\frac{4}{7}=\frac{1}{7}\]

Ответ: \(\frac{1}{7}\).