1. Выполните умножение: 1) \(\frac{24}{35} : \frac{6}{7}\) 2) \(2\frac{2}{5} : 1\frac{1}{15}\) 3) \(6 : \frac{12}{13}\) 4) \(\frac{6}{19} : 2\) 5) \(\frac{2}{3} \cdot \frac{9}{10}\) 6) \(2\frac{3}{5} \cdot 1\frac{9}{26}\) 7) \(\frac{7}{19} \cdot 57\)

1) \(\frac{24}{35} : \frac{6}{7} = \frac{24}{35} \cdot \frac{7}{6} = \frac{4 \cdot 6 \cdot 7}{5 \cdot 7 \cdot 6} = \frac{4}{5}\) 2) \(2\frac{2}{5} : 1\frac{1}{15} = \frac{12}{5} : \frac{16}{15} = \frac{12}{5} \cdot \frac{15}{16} = \frac{3 \cdot 4 \cdot 3 \cdot 5}{5 \cdot 4 \cdot 4} = \frac{9}{4} = 2\frac{1}{4}\) 3) \(6 : \frac{12}{13} = 6 \cdot \frac{13}{12} = \frac{6 \cdot 13}{12} = \frac{13}{2} = 6\frac{1}{2}\) 4) \(\frac{6}{19} : 2 = \frac{6}{19} \cdot \frac{1}{2} = \frac{3 \cdot 2}{19 \cdot 2} = \frac{3}{19}\) 5) \(\frac{2}{3} \cdot \frac{9}{10} = \frac{2 \cdot 9}{3 \cdot 10} = \frac{2 \cdot 3 \cdot 3}{3 \cdot 2 \cdot 5} = \frac{3}{5}\) 6) \(2\frac{3}{5} \cdot 1\frac{9}{26} = \frac{13}{5} \cdot \frac{35}{26} = \frac{13 \cdot 35}{5 \cdot 26} = \frac{13 \cdot 5 \cdot 7}{5 \cdot 13 \cdot 2} = \frac{7}{2} = 3\frac{1}{2}\) 7) \(\frac{7}{19} \cdot 57 = \frac{7 \cdot 57}{19} = \frac{7 \cdot 3 \cdot 19}{19} = 7 \cdot 3 = 21\)