3. Выполните деление: a) \(\frac{8}{15}: \frac{6}{35}=\frac{8}{15} \cdot \frac{35}{6} =\) б) \(\frac{10}{11}: 25 = \frac{10}{11} \cdot \frac{1}{25} =\) в) \(6 : \frac{3}{4} = \frac{6}{1} \cdot \frac{4}{3} =\) r) \(1\frac{2}{7} : \frac{12}{21} = \frac{9}{7} \cdot\) д) \(2\frac{7}{10} : 1\frac{2}{25} =\) e) \(1\frac{7}{8} : 6\frac{1}{4} =\)

Ответ (RU):

1. \(\frac{8}{15}: \frac{6}{35}=\frac{8}{15} \cdot \frac{35}{6} = \frac{8 \cdot 35}{15 \cdot 6} = \frac{4 \cdot 7}{3 \cdot 3} = \frac{28}{9} = 3\frac{1}{9}\)
   Ответ: \(3\frac{1}{9}\)
2. \(\frac{10}{11}: 25 = \frac{10}{11} \cdot \frac{1}{25} = \frac{10 \cdot 1}{11 \cdot 25} = \frac{2 \cdot 1}{11 \cdot 5} = \frac{2}{55}\)
   Ответ: \(\frac{2}{55}\)
3. \(6 : \frac{3}{4} = \frac{6}{1} \cdot \frac{4}{3} = \frac{6 \cdot 4}{1 \cdot 3} = \frac{2 \cdot 4}{1 \cdot 1} = \frac{8}{1} = 8\)
   Ответ: 8
4. \(1\frac{2}{7} : \frac{12}{21} = \frac{9}{7} : \frac{12}{21} = \frac{9}{7} \cdot \frac{21}{12} = \frac{9 \cdot 21}{7 \cdot 12} = \frac{3 \cdot 3}{1 \cdot 4} = \frac{9}{4} = 2 \frac{1}{4}\)
   Ответ: \(2 \frac{1}{4}\)
5. \(2\frac{7}{10} : 1\frac{2}{25} = \frac{27}{10} : \frac{27}{25} = \frac{27}{10} \cdot \frac{25}{27} = \frac{27 \cdot 25}{10 \cdot 27} = \frac{1 \cdot 5}{2 \cdot 1} = \frac{5}{2} = 2\frac{1}{2}\)
   Ответ: \(2\frac{1}{2}\)
6. \(1\frac{7}{8} : 6\frac{1}{4} = \frac{15}{8} : \frac{25}{4} = \frac{15}{8} \cdot \frac{4}{25} = \frac{15 \cdot 4}{8 \cdot 25} = \frac{3 \cdot 1}{2 \cdot 5} = \frac{3}{10}\)
   Ответ: \(\frac{3}{10}\)