Ответ:

  1. \(\frac{1}{2}+\frac{1}{5}=\frac{5}{10}+\frac{2}{10}=\frac{7}{10}\).
  2. \(\frac{1}{21}+\frac{1}{7}=\frac{1}{21}+\frac{3}{21}=\frac{4}{21}\).
  3. \(\frac{3}{5}+\frac{2}{17}=\frac{51}{85}+\frac{10}{85}=\frac{61}{85}\).
  4. \(\frac{1}{7}+\frac{7}{9}=\frac{9}{63}+\frac{49}{63}=\frac{58}{63}\).

Ответ: 1) \(\frac{7}{10}\); 2) \(\frac{4}{21}\); 3) \(\frac{61}{85}\); 4) \(\frac{58}{63}\).