1. Вычислите: 1) \(\frac{18}{25}:\frac{3}{5}\) 2) \(2\frac{5}{8}:2\frac{1}{4}\) 3) \(7\frac{14}{15}:\frac{4}{15}\) 4) \(\frac{16}{17}:8\)

Пошаговое решение:

1. Шаг 1: \(\frac{18}{25}:\frac{3}{5} = \frac{18}{25}\cdot\frac{5}{3} = \frac{18 \cdot 5}{25 \cdot 3} = \frac{6 \cdot 1}{5 \cdot 1} = \frac{6}{5} = 1\frac{1}{5}\)
2. Шаг 2: \(2\frac{5}{8}:2\frac{1}{4} = \frac{21}{8}:\frac{9}{4} = \frac{21}{8}\cdot\frac{4}{9} = \frac{21 \cdot 4}{8 \cdot 9} = \frac{7 \cdot 1}{2 \cdot 3} = \frac{7}{6} = 1\frac{1}{6}\)
3. Шаг 3: \(7\frac{14}{15}:\frac{4}{15} = \frac{119}{15}:\frac{4}{15} = \frac{119}{15}\cdot\frac{15}{4} = \frac{119}{4} = 29\frac{3}{4}\)
4. Шаг 4: \(\frac{16}{17}:8 = \frac{16}{17}\cdot\frac{1}{8} = \frac{16}{17 \cdot 8} = \frac{2}{17}\)

Ответ: 1) \(1\frac{1}{5}\) 2) \(1\frac{1}{6}\) 3) \(29\frac{3}{4}\) 4) \(\frac{2}{17}\)