25. Выполните деление:

Решение:

1. \(\frac{6}{25} : \frac{9}{5} = \frac{6}{25} \cdot \frac{5}{9} = \frac{6 \cdot 5}{25 \cdot 9} = \frac{30}{225} = \frac{2}{15}\)
2. \(\frac{8}{27} : \frac{8}{9} = \frac{8}{27} \cdot \frac{9}{8} = \frac{8 \cdot 9}{27 \cdot 8} = \frac{72}{216} = \frac{1}{3}\)
3. \(6\frac{2}{3} : 1\frac{1}{8} = \frac{20}{3} : \frac{9}{8} = \frac{20}{3} \cdot \frac{8}{9} = \frac{160}{27}\)
4. \(57 : \frac{19}{24} = 57 \cdot \frac{24}{19} = 3 \cdot 24 = 72\)
5. \(9\frac{5}{7} : 1\frac{23}{28} = \frac{68}{7} : \frac{51}{28} = \frac{68}{7} \cdot \frac{28}{51} = \frac{68 \cdot 28}{7 \cdot 51} = \frac{4 \cdot 28}{51} = \frac{112}{51}\)
6. \(\frac{36}{47} : 18 = \frac{36}{47} \cdot \frac{1}{18} = \frac{36}{47 \cdot 18} = \frac{2}{47}\)

Ответ: 1) \(\frac{2}{15}\); 2) \(\frac{1}{3}\); 3) \(\frac{160}{27}\); 4) 72; 5) \(\frac{112}{51}\); 6) \(\frac{2}{47}\).