Ответ:

  1. \(\frac{6}{25}:\frac{9}{5}=\frac{6}{25}\cdot\frac{5}{9}=\frac{2}{15}\).
  2. \(6\frac{2}{3}:1\frac{1}{8}=\frac{20}{3}:\frac{9}{8}=\frac{20}{3}\cdot\frac{8}{9}=\frac{160}{27}=5\frac{25}{27}\).
  3. \(\frac{8}{27}:\frac{8}{9}=\frac{8}{27}\cdot\frac{9}{8}=\frac{1}{3}\).
  4. \(57:\frac{19}{24}=57\cdot\frac{24}{19}=3\cdot24=72\).
  5. \(9\frac{5}{7}:1\frac{23}{28}=\frac{68}{7}:\frac{51}{28}=\frac{68}{7}\cdot\frac{28}{51}=\frac{272}{51}=5\frac{17}{51}\).
  6. \(\frac{36}{47}:18=\frac{36}{47}\cdot\frac{1}{18}=\frac{2}{47}\).