1. Вычислите: 1) \(\frac{12}{35}:\frac{2}{5}\); 2) \(\frac{15}{17}:5\); 3) \(4:\frac{20}{21}\); 4) \(8\frac{3}{4}:2\frac{1}{3}\).

1) \(\frac{12}{35}:\frac{2}{5}=\frac{12}{35} \cdot \frac{5}{2}=\frac{12 \cdot 5}{35 \cdot 2}=\frac{6 \cdot 1}{7 \cdot 1}=\frac{6}{7}\)

2) \(\frac{15}{17}:5=\frac{15}{17} \cdot \frac{1}{5}=\frac{15 \cdot 1}{17 \cdot 5}=\frac{3 \cdot 1}{17 \cdot 1}=\frac{3}{17}\)

3) \(4:\frac{20}{21}=4 \cdot \frac{21}{20}=\frac{4 \cdot 21}{20}=\frac{1 \cdot 21}{5}=\frac{21}{5}=4\frac{1}{5}\)

4) \(8\frac{3}{4}:2\frac{1}{3}=\frac{35}{4}:\frac{7}{3}=\frac{35}{4} \cdot \frac{3}{7}=\frac{35 \cdot 3}{4 \cdot 7}=\frac{5 \cdot 3}{4 \cdot 1}=\frac{15}{4}=3\frac{3}{4}\)

Ответ: 1) \(\frac{6}{7}\); 2) \(\frac{3}{17}\); 3) \(4\frac{1}{5}\); 4) \(3\frac{3}{4}\)