Выполните действия: б) \(\frac{11}{42} \cdot \frac{7}{44}\) в) \(12 \cdot \frac{3}{5}\) г) \(\frac{5}{12} : \frac{55}{24}\) д) \(\frac{12}{17} : 6\) е) \(\frac{10}{14} \cdot 5\)

Ответ: б) \(\frac{1}{24}\); в) \(7\frac{1}{5}\); г) \(\frac{2}{55}\); д) \(\frac{2}{17}\); е) \(3\frac{4}{7}\)

1. б) \(\frac{11}{42} \cdot \frac{7}{44} = \frac{11 \cdot 7}{42 \cdot 44} = \frac{11 \cdot 7}{6 \cdot 7 \cdot 4 \cdot 11} = \frac{1}{6 \cdot 4} = \frac{1}{24}\)
2. в) \(12 \cdot \frac{3}{5} = \frac{12 \cdot 3}{5} = \frac{36}{5} = 7\frac{1}{5}\)
3. г) \(\frac{5}{12} : \frac{55}{24} = \frac{5}{12} \cdot \frac{24}{55} = \frac{5 \cdot 24}{12 \cdot 55} = \frac{5 \cdot 2 \cdot 12}{12 \cdot 5 \cdot 11} = \frac{2}{11}\)
4. д) \(\frac{12}{17} : 6 = \frac{12}{17} \cdot \frac{1}{6} = \frac{12 \cdot 1}{17 \cdot 6} = \frac{2 \cdot 6}{17 \cdot 6} = \frac{2}{17}\)
5. е) \(\frac{10}{14} \cdot 5 = \frac{10 \cdot 5}{14} = \frac{50}{14} = \frac{25}{7} = 3\frac{4}{7}\)

Ответ: б) \(\frac{1}{24}\); в) \(7\frac{1}{5}\); г) \(\frac{2}{11}\); д) \(\frac{2}{17}\); е) \(3\frac{4}{7}\)