31. Вычислите. a) \(\frac{1}{6} + \frac{2}{6}\) b) \(\frac{4}{9} + \frac{1}{9}\) д) \(\frac{5}{6} - \frac{4}{6}\) ж) \(1\frac{11}{12} - \frac{1}{12}\) и) \(1 + \frac{5}{6}\) б) \(\frac{2}{7} + \frac{4}{7}\) г) \(\frac{3}{11} + \frac{5}{11}\) e) \(\frac{5}{7} - \frac{3}{7}\) з) \(1 - \frac{4}{7}\) к) \(1\frac{2}{4} - \frac{1}{4}\)

a) \(\frac{1}{6} + \frac{2}{6} = \frac{1+2}{6} = \frac{3}{6} = \frac{1}{2\)

Ответ: \(\frac{1}{2}\)

б) \(\frac{2}{7} + \frac{4}{7} = \frac{2+4}{7} = \frac{6}{7}\)

Ответ: \(\frac{6}{7}\)

в) \(\frac{4}{9} + \frac{1}{9} = \frac{4+1}{9} = \frac{5}{9}\)

Ответ: \(\frac{5}{9}\)

г) \(\frac{3}{11} + \frac{5}{11} = \frac{3+5}{11} = \frac{8}{11}\)

Ответ: \(\frac{8}{11}\)

д) \(\frac{5}{6} - \frac{4}{6} = \frac{5-4}{6} = \frac{1}{6}\)

Ответ: \(\frac{1}{6}\)

е) \(\frac{5}{7} - \frac{3}{7} = \frac{5-3}{7} = \frac{2}{7}\)

Ответ: \(\frac{2}{7}\)

ж) \(1\frac{11}{12} - \frac{1}{12} = 1\frac{11-1}{12} = 1\frac{10}{12} = 1\frac{5}{6}\)

Ответ: \(1\frac{5}{6}\)

з) \(1 - \frac{4}{7} = \frac{7}{7} - \frac{4}{7} = \frac{7-4}{7} = \frac{3}{7}\)

Ответ: \(\frac{3}{7}\)

и) \(1 + \frac{5}{6} = \frac{6}{6} + \frac{5}{6} = \frac{6+5}{6} = \frac{11}{6} = 1\frac{5}{6}\)

Ответ: \(1\frac{5}{6}\)

к) \(1\frac{2}{4} - \frac{1}{4} = 1\frac{2-1}{4} = 1\frac{1}{4}\)

Ответ: \(1\frac{1}{4}\)