5.355 Вычислите: 1) \(\frac{5}{13} + \frac{4}{13} + \frac{6}{13}\); 2) \(\frac{9}{25} - \frac{6}{25} + \frac{2}{25}\); 3) \(5\frac{2}{7} - 4\frac{1}{7} + 3\frac{4}{7}\); 4) \(9\frac{5}{14} + 1\frac{3}{14} - \frac{6}{14}\)

1) \(\frac{5}{13} + \frac{4}{13} + \frac{6}{13}\) = \(\frac{5+4+6}{13} = \frac{15}{13} = 1\frac{2}{13}\)

2) \(\frac{9}{25} - \frac{6}{25} + \frac{2}{25} = \frac{9-6+2}{25} = \frac{5}{25} = \frac{1}{5}\)

3) \(5\frac{2}{7} - 4\frac{1}{7} + 3\frac{4}{7} = (5 - 4 + 3) + (\frac{2}{7} - \frac{1}{7} + \frac{4}{7}) = 4 + \frac{2-1+4}{7} = 4 + \frac{5}{7} = 4\frac{5}{7}\)

4) \(9\frac{5}{14} + 1\frac{3}{14} - \frac{6}{14} = (9 + 1) + (\frac{5}{14} + \frac{3}{14} - \frac{6}{14}) = 10 + \frac{5+3-6}{14} = 10 + \frac{2}{14} = 10 + \frac{1}{7} = 10\frac{1}{7}\)

Ответ: 1) \(1\frac{2}{13}\); 2) \(\frac{1}{5}\); 3) \(4\frac{5}{7}\); 4) \(10\frac{1}{7}\)