Ответ:

  1. \(\frac{5}{11}:\frac{5}{13}=\frac{5}{11}\cdot\frac{13}{5}=\frac{13}{11}\).
  2. \(6:5=\frac{6}{5}\).
  3. \(\frac{3}{4}:\frac{15}{16}=\frac{3}{4}\cdot\frac{16}{15}=\frac{4}{5}\).
  4. \(\frac{3}{8}:3=\frac{3}{8}\cdot\frac{1}{3}=\frac{1}{8}\).
  5. \(\frac{5}{6}:\frac{6}{11}=\frac{5}{6}\cdot\frac{11}{6}=\frac{55}{36}\).
  6. \(\frac{6}{7}:\frac{2}{7}=\frac{6}{7}\cdot\frac{7}{2}=3\).
  7. \(2:\frac{6}{13}=2\cdot\frac{13}{6}=\frac{13}{3}\).
  8. \(\frac{1}{2}:\frac{3}{4}=\frac{1}{2}\cdot\frac{4}{3}=\frac{2}{3}\).

Ответ: 1) \(\frac{13}{11}\); 2) \(\frac{6}{5}\); 3) \(\frac{4}{5}\); 4) \(\frac{1}{8}\); 5) \(\frac{55}{36}\); 6) \(3\); 7) \(\frac{13}{3}\); 8) \(\frac{2}{3}\).