Вариант 1, Задание 1. Выполните действие: a) \(\frac{3}{7} \cdot \frac{5}{11}\) б) \(\frac{6}{25} : \frac{5}{18}\) в) \(3\frac{3}{5} \cdot \frac{1}{9}\) г) \(1\frac{3}{7} \cdot 14\) д) \(\frac{5}{9} : \frac{10}{27}\) e) \(\frac{12}{13} : 6\)

a) \(\frac{3}{7} \cdot \frac{5}{11} = \frac{3 \cdot 5}{7 \cdot 11} = \frac{15}{77}\) б) \(\frac{6}{25} : \frac{5}{18} = \frac{6}{25} \cdot \frac{18}{5} = \frac{6 \cdot 18}{25 \cdot 5} = \frac{108}{125}\) в) \(3\frac{3}{5} \cdot \frac{1}{9} = \frac{18}{5} \cdot \frac{1}{9} = \frac{18 \cdot 1}{5 \cdot 9} = \frac{2}{5}\) г) \(1\frac{3}{7} \cdot 14 = \frac{10}{7} \cdot 14 = \frac{10 \cdot 14}{7} = \frac{10 \cdot 2}{1} = 20\) д) \(\frac{5}{9} : \frac{10}{27} = \frac{5}{9} \cdot \frac{27}{10} = \frac{5 \cdot 27}{9 \cdot 10} = \frac{1 \cdot 3}{1 \cdot 2} = \frac{3}{2} = 1\frac{1}{2}\) e) \(\frac{12}{13} : 6 = \frac{12}{13} \cdot \frac{1}{6} = \frac{12 \cdot 1}{13 \cdot 6} = \frac{2 \cdot 1}{13 \cdot 1} = \frac{2}{13}\)