6. Вычислите: \(2\frac27\times2,4\times1\frac59\times1\frac9{16}\); \(3\frac13\times1,125\times1\frac57\times1\frac79\).

1) \(2\frac27=\frac{16}{7}\), \(2{,}4=\frac{12}{5}\), \(1\frac59=\frac{14}{9}\), \(1\frac9{16}=\frac{25}{16}\).

\(\frac{16}{7}\cdot\frac{12}{5}\cdot\frac{14}{9}\cdot\frac{25}{16}=\frac{140}{3}=46\frac23\).

2) \(3\frac13=\frac{10}{3}\), \(1{,}125=\frac98\), \(1\frac57=\frac{12}{7}\), \(1\frac79=\frac{16}{9}\).

\(\frac{10}{3}\cdot\frac98\cdot\frac{12}{7}\cdot\frac{16}{9}=\frac{160}{7}=22\frac67\).

Ответ: \(46\frac23\); \(22\frac67\).