5.541 Вычислите: a) \(6 \div \frac{2}{3}\); б) \(\frac{3}{8} \div 3\frac{1}{3}\); в) \(\frac{1}{12} \div \frac{5}{36}\); г) \(\frac{14}{55} \div \frac{5}{21}\)?

a) \(6 \div \frac{2}{3} = 6 \cdot \frac{3}{2} = \frac{6 \cdot 3}{2} = \frac{18}{2} = 9\) б) \(\frac{3}{8} \div 3\frac{1}{3} = \frac{3}{8} \div \frac{10}{3} = \frac{3}{8} \cdot \frac{3}{10} = \frac{3 \cdot 3}{8 \cdot 10} = \frac{9}{80}\) в) \(\frac{1}{12} \div \frac{5}{36} = \frac{1}{12} \cdot \frac{36}{5} = \frac{36}{12 \cdot 5} = \frac{3}{5}\) г) \(\frac{14}{55} \div \frac{5}{21} = \frac{14}{55} \cdot \frac{21}{5} = \frac{14 \cdot 21}{55 \cdot 5} = \frac{294}{275} = 1\frac{19}{275}\)