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

а) \(5 : \frac{2}{3} = 5 \cdot \frac{3}{2} = \frac{5 \cdot 3}{2} = \frac{15}{2}\) = 7.5 б) \(\frac{3}{8} : \frac{1}{3} = \frac{3}{8} \cdot \frac{3}{1} = \frac{3 \cdot 3}{8} = \frac{9}{8}\) = 1.125 в) \(\frac{1}{12} : \frac{5}{36} = \frac{1}{12} \cdot \frac{36}{5} = \frac{1 \cdot 36}{12 \cdot 5} = \frac{36}{60} = \frac{3}{5}\) г) \(\frac{14}{55} : \frac{5}{21} = \frac{14}{55} \cdot \frac{21}{5} = \frac{14 \cdot 21}{55 \cdot 5} = \frac{294}{275}\) д) \(\frac{121}{234} : \frac{11}{12} = \frac{121}{234} \cdot \frac{12}{11} = \frac{11 \cdot 11 \cdot 2 \cdot 6}{2 \cdot 117 \cdot 11} = \frac{11 \cdot 6}{117} = \frac{66}{117} = \frac{22}{39}\)