а) \( \frac{6}{25} : \frac{9}{5} = \frac{6}{25} \cdot \frac{5}{9} = \frac{6 \cdot 5}{25 \cdot 9} = \frac{30}{225} = \frac{2}{15} \). б) \( \frac{6}{3} : 1 \frac{1}{8} = \frac{6}{3} \cdot \frac{8}{9} = \frac{48}{27} = \frac{16}{9} \). в) \( \frac{8}{27} : \frac{8}{9} = \frac{8}{27} \cdot \frac{9}{8} = \frac{72}{216} = \frac{1}{3} \). г) \( \frac{57}{19} : \frac{24}{57} = \frac{57}{19} \cdot \frac{57}{24} = \frac{3249}{456} = 7 \frac{33}{456} \). д) \( \frac{9}{5} : \frac{1}{7} \cdot \frac{23}{28} = \frac{9}{5} \cdot \frac{7}{1} \cdot \frac{23}{28} = \frac{9 \cdot 7 \cdot 23}{5 \cdot 28} = \frac{1449}{140} = 10 \frac{49}{140} \). е) \( \frac{36}{47} : 18 = \frac{36}{47} \cdot \frac{1}{18} = \frac{36}{847} = \frac{12}{141} \).