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) $$\frac{5}{13} + \frac{4}{13} - \frac{6}{13} = \frac{5+4-6}{13} = \frac{3}{13}$$
• 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) $$\frac{3}{13}$$; 2) $$\frac{1}{5}$$; 3) $$4\frac{5}{7}$$; 4) $$10\frac{1}{7}$$