1) \(\frac{8}{3}-\frac{5}{3}\); 2) \(\frac{8}{3}\cdot\frac{6}{4}\); 3) \(\frac{9}{4}\cdot\frac{14}{3}\); 4) \(\frac{6}{3}:\frac{6}{9}\); 5) \(\frac{4}{8}:\frac{14}{16}\).

1. \(\frac{8}{3}-\frac{5}{3}=\frac{8-5}{3}=1\).
2. \(\frac{8}{3}\cdot\frac{6}{4}=\frac{48}{12}=4\).
3. \(\frac{9}{4}\cdot\frac{14}{3}=\frac{9\cdot14}{4\cdot3}=\frac{21}{1}=21\).
4. \(\frac{6}{3}:\frac{6}{9}=2:\frac{2}{3}=2\cdot\frac{3}{2}=3\).
5. \(\frac{4}{8}:\frac{14}{16}=\frac{1}{2}:\frac{7}{8}=\frac{1}{2}\cdot\frac{8}{7}=\frac{4}{7}\).

Ответ: 1) 1; 2) 4; 3) 21; 4) 3; 5) \(\frac{4}{7}\).