Ответ:

  1. \(\frac{5}{9}:\frac{3}{4}=\frac{5}{9}\cdot\frac{4}{3}=\frac{20}{27}\).
  2. \(7:9=\frac{7}{9}\).
  3. \(\frac{2}{3}:5=\frac{2}{3}\cdot\frac{1}{5}=\frac{2}{15}\).
  4. \(5:\frac{1}{15}=5\cdot15=75\).
  5. \(7\frac{1}{2}:11\frac{1}{4}=\frac{15}{2}:\frac{45}{4}=\frac{15}{2}\cdot\frac{4}{45}=\frac{2}{3}\).

Ответ: 1) \(\frac{20}{27}\); 2) \(\frac{7}{9}\); 3) \(\frac{2}{15}\); 4) \(75\); 5) \(\frac{2}{3}\).