\(3\frac{1}{8} : 1\frac{5}{9} : \frac{5}{16} = \frac{25}{8} : \frac{14}{9} : \frac{5}{16} = (\frac{25}{8} \cdot \frac{9}{14}) : \frac{5}{16} = \frac{225}{112} : \frac{5}{16} = \frac{225}{112} \cdot \frac{16}{5} = \frac{225 \cdot 16}{112 \cdot 5} = \frac{45 \cdot 4}{7 \cdot 1} = \frac{180}{7} = 25\frac{5}{7}\)
Ответ: \(25\frac{5}{7}\)