5.540 Найдите частное: a) 5:2 28 64 32 64 б) в) г) : 4; д) 9:3; е) 9:4 4 15' 39' 131 52 125 4

Ответ: a) \(\frac{75}{8}\); б) \(\frac{2}{3} \cdot \frac{9}{8} = \frac{3}{4}\); в) \(\frac{64}{131} \cdot \frac{52}{32} = \frac{104}{131}\); г) \(\frac{16}{125}\); д) \(\frac{27}{4}\); е) 36

1. а) \(\frac{5}{4} : \frac{2}{15} = \frac{5}{4} \cdot \frac{15}{2} = \frac{75}{8} = 9 \frac{3}{8}\)

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

3. в) \(\frac{64}{131} : \frac{32}{52} = \frac{64}{131} \cdot \frac{52}{32} = \frac{2}{131} \cdot \frac{52}{1} = \frac{104}{131}\)

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

5. д) \(9 : \frac{3}{4} = 9 \cdot \frac{4}{3} = 3 \cdot 4 = 12 = \frac{36}{3} \cdot \frac{4}{3} = \frac{27}{4}\)

6. е) \(9 : \frac{1}{4} = 9 \cdot 4 = 36\)

Ответ: a) \(\frac{75}{8}\); б) \(\frac{2}{3} \cdot \frac{9}{8} = \frac{3}{4}\); в) \(\frac{64}{131} \cdot \frac{52}{32} = \frac{104}{131}\); г) \(\frac{16}{125}\); д) \(\frac{27}{4}\); е) 36