5.560 Вычислите: 1) \(\frac{1}{4} : \frac{1}{4} \cdot \frac{2}{7}\) 2) \(\frac{1}{3} : \frac{7}{8} : \frac{9}{14}\) 3) \(\frac{1}{3} \cdot \frac{7}{8} : \frac{9}{14}\) 4) \(\frac{6}{7} : \frac{5}{7} \cdot \frac{4}{9}\)

1) \(\frac{1}{4} : \frac{1}{4} \cdot \frac{2}{7} = 1 \cdot \frac{2}{7} = \frac{2}{7}\) 2) \(\frac{1}{3} : \frac{7}{8} : \frac{9}{14} = \frac{1}{3} \cdot \frac{8}{7} \cdot \frac{14}{9} = \frac{1 \cdot 8 \cdot 14}{3 \cdot 7 \cdot 9} = \frac{112}{189} = \frac{16}{27}\) 3) \(\frac{1}{3} \cdot \frac{7}{8} : \frac{9}{14} = \frac{7}{24} : \frac{9}{14} = \frac{7}{24} \cdot \frac{14}{9} = \frac{7 \cdot 14}{24 \cdot 9} = \frac{98}{216} = \frac{49}{108}\) 4) \(\frac{6}{7} : \frac{5}{7} \cdot \frac{4}{9} = \frac{6}{7} \cdot \frac{7}{5} \cdot \frac{4}{9} = \frac{6 \cdot 7 \cdot 4}{7 \cdot 5 \cdot 9} = \frac{168}{315} = \frac{8}{15}\)