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) \(8\frac{2}{9} - 2\frac{4}{9}\).

Решение:

а) \(\frac{15}{19} - \frac{7}{19} + \frac{4}{19} = \frac{15-7+4}{19} = \frac{12}{19}\)

Ответ: \(\frac{12}{19}\)

в) \(5 - 2\frac{4}{11} = 4\frac{11}{11} - 2\frac{4}{11} = (4-2) + (\frac{11}{11} - \frac{4}{11}) = 2 + \frac{11-4}{11} = 2\frac{7}{11}\)

Ответ: \(2\frac{7}{11}\)

б) \(7\frac{5}{14} + 3\frac{11}{14} = (7+3) + (\frac{5}{14} + \frac{11}{14}) = 10 + \frac{5+11}{14} = 10 + \frac{16}{14} = 10 + \frac{8}{7} = 10 + 1\frac{1}{7} = 11\frac{1}{7}\)

Ответ: \(11\frac{1}{7}\)

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: \(5\frac{7}{9}\)