1. Выполните действия: a) \(\frac{15}{19} - \frac{7}{19} + \frac{4}{19}\); в) \(5 - 2\frac{4}{11}\); б) \(7\frac{5}{14} + 3\frac{11}{14}\); г) \(8\frac{2}{9} - 2\frac{4}{9}\).

Решим данные примеры:

1. а) \(\frac{15}{19} - \frac{7}{19} + \frac{4}{19} = \frac{15 - 7 + 4}{19} = \frac{12}{19}\)
2. б) \(7\frac{5}{14} + 3\frac{11}{14} = (7 + 3) + (\frac{5}{14} + \frac{11}{14}) = 10 + \frac{16}{14} = 10 + \frac{8}{7} = 10 + 1\frac{1}{7} = 11\frac{1}{7}\)
3. в) \(5 - 2\frac{4}{11} = 4\frac{11}{11} - 2\frac{4}{11} = (4-2) + (\frac{11}{11} - \frac{4}{11}) = 2 + \frac{7}{11} = 2\frac{7}{11}\)
4. г) \(8\frac{2}{9} - 2\frac{4}{9} = 8\frac{2}{9} - 2\frac{4}{9} = 7\frac{11}{9} - 2\frac{4}{9} = (7 - 2) + (\frac{11}{9} - \frac{4}{9}) = 5 + \frac{7}{9} = 5\frac{7}{9}\)

Ответ: а) \(\frac{12}{19}\); б) \(11\frac{1}{7}\); в) \(2\frac{7}{11}\); г) \(5\frac{7}{9}\).