Выполните действия: 1) \(\frac{1}{3}+\frac{1}{2}\); 2) \(\frac{4}{5}-\frac{1}{2}\); 3) \(\frac{3}{4}\cdot\frac{2}{9}\); 4) \(\frac{5}{6}-\frac{2}{3}\); 5) \(\frac{1}{7}+\frac{1}{3}\).

1. \[\frac{1}{3}+\frac{1}{2}=\frac{2}{6}+\frac{3}{6}=\frac{5}{6}.\]
2. \[\frac{4}{5}-\frac{1}{2}=\frac{8}{10}-\frac{5}{10}=\frac{3}{10}.\]
3. \[\frac{3}{4}\cdot\frac{2}{9}=\frac{3\cdot2}{4\cdot9}=\frac{6}{36}=\frac{1}{6}.\]
4. \[\frac{5}{6}-\frac{2}{3}=\frac{5}{6}-\frac{4}{6}=\frac{1}{6}.\]
5. \[\frac{1}{7}+\frac{1}{3}=\frac{3}{21}+\frac{7}{21}=\frac{10}{21}.\]

Ответ: 1) \(\frac{5}{6}\); 2) \(\frac{3}{10}\); 3) \(\frac{1}{6}\); 4) \(\frac{1}{6}\); 5) \(\frac{10}{21}\).