6) Вычислите: \((1\frac{1}{35}:\frac{4}{5}-1\frac{8}{35})\times3\frac{1}{3}\).

Преобразуем смешанные числа в неправильные дроби:

\[1\frac{1}{35}=\frac{36}{35},\qquad 1\frac{8}{35}=\frac{43}{35},\qquad 3\frac{1}{3}=\frac{10}{3}.\]

\[\left(\frac{36}{35}:\frac{4}{5}-\frac{43}{35}\right)\times\frac{10}{3}=\left(\frac{36}{35}\cdot\frac{5}{4}-\frac{43}{35}\right)\times\frac{10}{3}.\]

\[\left(\frac{9}{7}-\frac{43}{35}\right)\times\frac{10}{3}=\left(\frac{45}{35}-\frac{43}{35}\right)\times\frac{10}{3}=\frac{2}{35}\times\frac{10}{3}=\frac{4}{21}.\]

Ответ: \(\frac{4}{21}\).