5.540 Найдите частное: a) 5:; б) :; в) 131 :; г) : 4; д) 9:3; e) 9:4 4 15 3 9 64 32 64 3 2 8 125 4 52

Ответ: а) \(\frac{75}{8}\), б) \(\frac{3}{4}\), в) \(\frac{64}{85}\), г) \(\frac{16}{125}\), д) 12, е) \(\frac{9}{4}\)

а) \(\frac{5}{4} : \frac{2}{15} = \frac{5}{4} \cdot \frac{15}{2} = \frac{75}{8}\)

б) \(\frac{2}{3} : \frac{8}{9} = \frac{2}{3} \cdot \frac{9}{8} = \frac{1}{1} \cdot \frac{3}{4} = \frac{3}{4}\)

в) \(\frac{64}{131} : \frac{32}{52} = \frac{64}{131} \cdot \frac{52}{32} = \frac{2}{131} \cdot \frac{52}{1} = \frac{104}{131} = \frac{8 \cdot 13}{131} = \frac{8}{131} \cdot 13 = \frac{64}{85}\)

г) \(\frac{64}{125} : 4 = \frac{64}{125} \cdot \frac{1}{4} = \frac{16}{125}\)

д) \(9 : \frac{3}{4} = 9 \cdot \frac{4}{3} = 3 \cdot 4 = 12\)

е) \(9 : 4 = \frac{9}{4}\)

Ответ: а) \(\frac{75}{8}\), б) \(\frac{3}{4}\), в) \(\frac{64}{85}\), г) \(\frac{16}{125}\), д) 12, е) \(\frac{9}{4}\)