\((1\frac{5}{17}\cdot 2,56+0,24\cdot 1\frac{5}{17})\cdot\frac{17}{33}:0,7-0,5\cdot 2\frac{1}{3}\)

Преобразуем десятичные дроби и смешанные числа:

\(1\frac{5}{17}=\frac{22}{17}\), \(2,56=\frac{64}{25}\), \(0,24=\frac{6}{25}\), \(0,7=\frac{7}{10}\), \(0,5=\frac{1}{2}\), \(2\frac{1}{3}=\frac{7}{3}\).

\[\left(\frac{22}{17}\cdot\frac{64}{25}+\frac{6}{25}\cdot\frac{22}{17}\right)\cdot\frac{17}{33}:\frac{7}{10}-\frac{1}{2}\cdot\frac{7}{3}\]

\[=\left(\frac{22}{17}\cdot\frac{70}{25}\right)\cdot\frac{17}{33}\cdot\frac{10}{7}-\frac{7}{6}\]

\[=\frac{308}{85}\cdot\frac{17}{33}\cdot\frac{10}{7}-\frac{7}{6}=\frac{8}{3}-\frac{7}{6}=\frac{16}{6}-\frac{7}{6}=\frac{9}{6}=\frac{3}{2}.\]

Ответ: \(\frac{3}{2}=1,5\).