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

a)

$$\frac{5}{4} : \frac{2}{15} = \frac{5}{4} \cdot \frac{15}{2} = \frac{75}{8}$$

б)

$$\frac{2}{3} : \frac{8}{9} = \frac{2}{3} \cdot \frac{9}{8} = \frac{18}{24} = \frac{3}{4}$$

в)

$$\frac{64}{131} : \frac{32}{52} = \frac{64}{131} \cdot \frac{52}{32} = \frac{2}{131} \cdot \frac{52}{1} = \frac{104}{131}$$

г)

$$\frac{64}{125} : 4 = \frac{64}{125} \cdot \frac{1}{4} = \frac{16}{125}$$

д)

$$9 : \frac{3}{4} = 9 \cdot \frac{4}{3} = 12$$

е)

9: