5.541 Вычислите: а) 5 : 2/3; б) 3/8 : 1/3; в) 1/12 : 5/36; г) 14/55 : 5/21; д) 121/234 : 11/12

a)

$$5 : \frac{2}{3} = 5 \cdot \frac{3}{2} = \frac{15}{2}$$

б)

$$\frac{3}{8} : \frac{1}{3} = \frac{3}{8} \cdot 3 = \frac{9}{8}$$

в)

$$\frac{1}{12} : \frac{5}{36} = \frac{1}{12} \cdot \frac{36}{5} = \frac{3}{5}$$

г)

$$\frac{14}{55} : \frac{5}{21} = \frac{14}{55} \cdot \frac{21}{5} = \frac{294}{275}$$

д)

$$\frac{121}{234} : \frac{11}{12} = \frac{121}{234} \cdot \frac{12}{11} = \frac{11}{234} \cdot \frac{12}{1} = \frac{132}{234} = \frac{11}{19.5}$$