Ответ:

  1. \(x=\frac{9}{14}:\frac27=\frac94\).
  2. \(x=6:\frac38=16\).
  3. \(x=\frac29:3=\frac{2}{27}\).
  4. \(x=\frac37\cdot\frac6{11}=\frac{18}{77}\).
  5. \(x=\frac{18}{49}:\frac6{35}=\frac{15}{7}\).
  6. \(2{,}4=\frac{12}{5}\), поэтому \(x=\frac{12}{5}:\frac38=\frac{32}{5}=6{,}4\).

Ответ: 1) \(\frac94\); 2) 16; 3) \(\frac{2}{27}\); 4) \(\frac{18}{77}\); 5) \(\frac{15}{7}\); 6) 6,4.