6. Вычислите: (1 1/35 : 4/5 − 1 8/35) × 3 1/3

Преобразуем смешанные числа:

\(1\frac{1}{35}=\frac{36}{35}\), \(1\frac{8}{35}=\frac{43}{35}\), \(3\frac{1}{3}=\frac{10}{3}\).

\(\left(\frac{36}{35}:\frac45-\frac{43}{35}\right)\cdot\frac{10}{3}=\left(\frac{36}{35}\cdot\frac54-\frac{43}{35}\right)\cdot\frac{10}{3}\).

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

Ответ: \(\frac{4}{21}\).