1) \(\frac{8}{29}+\frac{14}{29} = \frac{8+14}{29} = \frac{22}{29}\)
2) \(7\frac{5}{31} - 4\frac{2}{31} + 2\frac{11}{31} = (7-4+2) + (\frac{5}{31} - \frac{2}{31} + \frac{11}{31}) = 5 + \frac{5-2+11}{31} = 5 + \frac{14}{31} = 5\frac{14}{31}\)
3) \(1-\frac{14}{19} = \frac{19}{19} - \frac{14}{19} = \frac{19-14}{19} = \frac{5}{19}\)
4) \(7\frac{3}{7} - 2\frac{6}{7} = 7 + \frac{3}{7} - 2 - \frac{6}{7} = (7-2) + (\frac{3}{7} - \frac{6}{7}) = 5 - \frac{3}{7} = 4 + \frac{7}{7} - \frac{3}{7} = 4 + \frac{4}{7} = 4\frac{4}{7}\)
Ответ: 1) \(\frac{22}{29}\); 2) \(5\frac{14}{31}\); 3) \(\frac{5}{19}\); 4) \(4\frac{4}{7}\)