Вопрос:

8. \((5\frac{7}{10}\cdot3\frac{1}{7})-(7\frac{1}{3}-4\frac{5}{9}):2\frac{1}{6}\)

Ответ:

\(5\frac{7}{10}\cdot3\frac{1}{7}=\frac{57}{10}\cdot\frac{22}{7}=\frac{627}{35}\).

\(7\frac{1}{3}-4\frac{5}{9}=\frac{22}{3}-\frac{41}{9}=\frac{25}{9}\).

\(\frac{25}{9}:\frac{13}{6}=\frac{50}{39}\).

\(\frac{627}{35}-\frac{50}{39}=\frac{22703}{1365}\).

Ответ: \(\frac{22703}{1365}\).