Ответ:

  1. \(\frac{3}{7}:\frac{5}{6}=\frac{3}{7}\cdot\frac{6}{5}=\frac{18}{35}\).
  2. \(\frac{3}{14}:\frac{2}{21}=\frac{3}{14}\cdot\frac{21}{2}=\frac{9}{4}\).
  3. \(\frac{7}{16}:\frac{42}{43}=\frac{7}{16}\cdot\frac{43}{42}=\frac{43}{96}\).
  4. \(\frac{3}{4}:\frac{21}{40}=\frac{3}{4}\cdot\frac{40}{21}=\frac{10}{7}\).
  5. \(\frac{9}{25}:\frac{27}{50}=\frac{9}{25}\cdot\frac{50}{27}=\frac{2}{3}\).
  6. \(\frac{45}{56}:\frac{63}{64}=\frac{45}{56}\cdot\frac{64}{63}=\frac{40}{49}\).
  7. \(\frac{2}{3}:\frac{1}{6}=\frac{2}{3}\cdot 6=4\).
  8. \(\frac{65}{98}:\frac{26}{49}=\frac{65}{98}\cdot\frac{49}{26}=\frac{5}{4}\).

Ответ: 1) \(\frac{18}{35}\); 2) \(\frac{9}{4}\); 3) \(\frac{43}{96}\); 4) \(\frac{10}{7}\); 5) \(\frac{2}{3}\); 6) \(\frac{40}{49}\); 7) \(4\); 8) \(\frac{5}{4}\).