Вычислите: \((\frac{1}{35}:\frac{4}{5}-\frac{8}{35})\times 3\frac{1}{3}\).

\[\frac{1}{35}:\frac{4}{5}=\frac{1}{35}\cdot\frac{5}{4}=\frac{1}{28}\]

\[\frac{1}{28}-\frac{8}{35}=\frac{5}{140}-\frac{32}{140}=-\frac{27}{140}\]

\[3\frac{1}{3}=\frac{10}{3}\]

\[-\frac{27}{140}\cdot\frac{10}{3}=-\frac{9}{14}\]

Ответ: \(-\frac{9}{14}\).