5.540 Найдите частное: a) \(\frac{5}{4} \div \frac{2}{15}\); б) \(\frac{2}{3} \div \frac{8}{9}\); в) \(\frac{64}{131} \div \frac{32}{52}\); г) \(\frac{64}{125} \div 4\)?

a) \(\frac{5}{4} \div \frac{2}{15} = \frac{5}{4} \cdot \frac{15}{2} = \frac{5 \cdot 15}{4 \cdot 2} = \frac{75}{8} = 9\frac{3}{8}\) б) \(\frac{2}{3} \div \frac{8}{9} = \frac{2}{3} \cdot \frac{9}{8} = \frac{2 \cdot 9}{3 \cdot 8} = \frac{18}{24} = \frac{3}{4}\) в) \(\frac{64}{131} \div \frac{32}{52} = \frac{64}{131} \cdot \frac{52}{32} = \frac{64 \cdot 52}{131 \cdot 32} = \frac{2 \cdot 52}{131} = \frac{104}{131}\) г) \(\frac{64}{125} \div 4 = \frac{64}{125} \div \frac{4}{1} = \frac{64}{125} \cdot \frac{1}{4} = \frac{64}{125 \cdot 4} = \frac{16}{125}\)