Ответ:

  1. \(6:\frac{3}{4}=6\cdot\frac{4}{3}=8\).
  2. \(\frac{4}{7}:\frac{10}{21}=\frac{4}{7}\cdot\frac{21}{10}=\frac{6}{5}=1\frac{1}{5}\).
  3. \(5\frac{1}{11}:\frac{8}{9}=\frac{56}{11}\cdot\frac{9}{8}=\frac{63}{11}=5\frac{8}{11}\).
  4. \(\frac{5}{8}:10=\frac{5}{8}\cdot\frac{1}{10}=\frac{1}{16}\).
  5. \(2\frac{2}{3}:4\frac{2}{9}=\frac{8}{3}:\frac{38}{9}=\frac{8}{3}\cdot\frac{9}{38}=\frac{12}{19}\).

Ответ: 1) 8; 2) 1 1/5; 3) 5 8/11; 4) 1/16; 5) 12/19.