Решим примеры:
- a) \(\frac{15}{19} - \frac{7}{19} + \frac{4}{19} = \frac{15-7+4}{19} = \frac{12}{19}\)
- б) \(7 \frac{5}{14} + 3 \frac{11}{14} = (7 + 3) + (\frac{5}{14} + \frac{11}{14}) = 10 + \frac{16}{14} = 10 + \frac{8}{7} = 10 + 1 \frac{1}{7} = 11 \frac{1}{7}\)
- в) \(5 - 2 \frac{4}{11} = 4 \frac{11}{11} - 2 \frac{4}{11} = (4 - 2) + (\frac{11}{11} - \frac{4}{11}) = 2 + \frac{7}{11} = 2 \frac{7}{11}\)
- г) \(8 \frac{2}{9} - 2 \frac{4}{9} = (8 - 2) + (\frac{2}{9} - \frac{4}{9}) = 6 - \frac{2}{9} = 5 \frac{9}{9} - \frac{2}{9} = 5 \frac{7}{9}\)
Ответ: a) \(\frac{12}{19}\); б) \(11 \frac{1}{7}\); в) \(2 \frac{7}{11}\); г) \(5 \frac{7}{9}\)