5.560 Вычислите: 1) 1/4 : 1/4 * 2/7 2) 1/3 * 7/8 : 9/14 3) 1/3 * 7/8 : 1/14 4) 6/7 : 5/7 * 4/9

1) \(\frac{1}{4} : \frac{1}{4} \cdot \frac{2}{7} = 1 \cdot \frac{2}{7} = \frac{2}{7}\)
2) \(\frac{1}{3} \cdot \frac{7}{8} : \frac{9}{14} = \frac{7}{24} \cdot \frac{14}{9} = \frac{98}{216} = \frac{49}{108}\)
3) \(\frac{1}{3} \cdot \frac{7}{8} : \frac{1}{14} = \frac{7}{24} \cdot 14 = \frac{98}{24} = \frac{49}{12}\)
4) \(\frac{6}{7} : \frac{5}{7} \cdot \frac{4}{9} = \frac{6}{7} \cdot \frac{7}{5} \cdot \frac{4}{9} = \frac{6}{5} \cdot \frac{4}{9} = \frac{24}{45} = \frac{8}{15}\)