1 Вычислите: a) \(\frac{7}{9} : \frac{5}{3}\); б) \(\frac{8}{15} : \frac{24}{65}\); г) \(\frac{35}{16} : 7\).

а) \(\frac{7}{9} : \frac{5}{3} = \frac{7}{9} \cdot \frac{3}{5} = \frac{7 \cdot 3}{9 \cdot 5} = \frac{7 \cdot 1}{3 \cdot 5} = \frac{7}{15}\) б) \(\frac{8}{15} : \frac{24}{65} = \frac{8}{15} \cdot \frac{65}{24} = \frac{8 \cdot 65}{15 \cdot 24} = \frac{8 \cdot 13 \cdot 5}{3 \cdot 5 \cdot 8 \cdot 3} = \frac{13}{9}\) г) \(\frac{35}{16} : 7 = \frac{35}{16} \cdot \frac{1}{7} = \frac{35 \cdot 1}{16 \cdot 7} = \frac{5 \cdot 7}{16 \cdot 7} = \frac{5}{16}\)