10) \(\frac{16}{5}\cdot\frac{15}{14}\cdot\frac{52}{24}\)

Сократим множители: \(16\) и \(24\) на \(8\), \(15\) и \(5\) на \(5\), \(52\) и \(14\) на \(2\).

\(\frac{16}{5}\cdot\frac{15}{14}\cdot\frac{52}{24}=\frac{2\cdot3\cdot26}{7\cdot3}=\frac{52}{7}\).

Ответ: \(\frac{52}{7}\).