1 Вычислите: a) \(\frac{7}{9} \cdot \frac{5}{3}\); б) \(\frac{8}{15} : \frac{24}{65}\); в) \(25 : \frac{15}{28}\); г) \(\frac{35}{16} : 7\).

Ответ: a) \(\frac{35}{27}\); б) \(\frac{13}{9}\); в) \(\frac{140}{3}\); г) \(\frac{5}{16}\)

1. \(\frac{7}{9} \cdot \frac{5}{3} = \frac{7 \cdot 5}{9 \cdot 3} = \frac{35}{27}\)
2. \(\frac{8}{15} : \frac{24}{65} = \frac{8}{15} \cdot \frac{65}{24} = \frac{8 \cdot 65}{15 \cdot 24} = \frac{520}{360} = \frac{13}{9}\)
3. \(25 : \frac{15}{28} = 25 \cdot \frac{28}{15} = \frac{25 \cdot 28}{15} = \frac{700}{15} = \frac{140}{3}\)
4. \(\frac{35}{16} : 7 = \frac{35}{16} \cdot \frac{1}{7} = \frac{35 \cdot 1}{16 \cdot 7} = \frac{35}{112} = \frac{5}{16}\)

Ответ: a) \(\frac{35}{27}\); б) \(\frac{13}{9}\); в) \(\frac{140}{3}\); г) \(\frac{5}{16}\)