Вычислите \(\dfrac{2\frac{2}{7}\times2{,}4\times1\frac{5}{9}\times1\frac{9}{16}}{3\frac{1}{3}\times1{,}125\times1\frac{5}{7}\times1\frac{7}{9}}\).

Преобразуем числа в дроби:

\[\frac{\frac{16}{7}\cdot\frac{12}{5}\cdot\frac{14}{9}\cdot\frac{25}{16}}{\frac{10}{3}\cdot\frac{9}{8}\cdot\frac{12}{7}\cdot\frac{16}{9}}=\frac{\frac{112}{3}}{\frac{32}{1}}=\frac{7}{6}.\]

Ответ: \(\frac{7}{6}\).