1) \(\frac{24}{85}:\frac{6}{7};\) 2) \(2\frac{2}{5}:1\frac{1}{15};\) 3) \(6:\frac{12}{13};\) 4) \(\frac{6}{19}:2;\) 5) \(\frac{3\frac{2}{5}}{2\frac{4}{15}}\)

1) \(\frac{24}{85}:\frac{6}{7}=\frac{24}{85}\cdot\frac{7}{6}=\frac{4\cdot7}{85}=\frac{28}{85}\)

2) \(2\frac{2}{5}:1\frac{1}{15}=\frac{12}{5}:\frac{16}{15}=\frac{12}{5}\cdot\frac{15}{16}=\frac{3\cdot3}{4}=\frac{9}{4}=2\frac{1}{4}\)

3) \(6:\frac{12}{13}=6\cdot\frac{13}{12}=\frac{13}{2}=6\frac{1}{2}\)

4) \(\frac{6}{19}:2=\frac{6}{19}\cdot\frac{1}{2}=\frac{3}{19}\)

5) \(\frac{3\frac{2}{5}}{2\frac{4}{15}}=3\frac{2}{5}:2\frac{4}{15}=\frac{17}{5}:\frac{34}{15}=\frac{17}{5}\cdot\frac{15}{34}=\frac{3}{2}=1\frac{1}{2}\)

Ответ: 1) \(\frac{28}{85}\); 2) \(2\frac{1}{4}\); 3) \(6\frac{1}{2}\); 4) \(\frac{3}{19}\); 5) \(1\frac{1}{2}\)