а) \(\frac{7}{12} + 4\frac{3}{8}\) б) \(3\frac{11}{20} + 2\frac{19}{30}\) в) \(9\frac{5}{6} - 2\frac{3}{4}\) г) \(3\frac{3}{10} - 1\frac{7}{15}\) д) \(1 - \frac{5}{8}\) е) \(1 - \frac{1}{6}\) ж) \(6 - \frac{2}{5}\)

Решение:

Выполняем сложение и вычитание дробей:

а) \(\frac{7}{12} + 4\frac{3}{8} = \frac{7}{12} + \frac{35}{8} = \frac{14}{24} + \frac{105}{24} = \frac{119}{24} = 4\frac{23}{24}\)

б) \(3\frac{11}{20} + 2\frac{19}{30} = \frac{71}{20} + \frac{79}{30} = \frac{213}{60} + \frac{158}{60} = \frac{371}{60} = 6\frac{11}{60}\)

в) \(9\frac{5}{6} - 2\frac{3}{4} = \frac{59}{6} - \frac{11}{4} = \frac{118}{12} - \frac{33}{12} = \frac{85}{12} = 7\frac{1}{12}\)

г) \(3\frac{3}{10} - 1\frac{7}{15} = \frac{33}{10} - \frac{22}{15} = \frac{99}{30} - \frac{44}{30} = \frac{55}{30} = \frac{11}{6} = 1\frac{5}{6}\)

д) \(1 - \frac{5}{8} = \frac{8}{8} - \frac{5}{8} = \frac{3}{8}\)

е) \(1 - \frac{1}{6} = \frac{6}{6} - \frac{1}{6} = \frac{5}{6}\)

ж) \(6 - \frac{2}{5} = \frac{30}{5} - \frac{2}{5} = \frac{28}{5} = 5\frac{3}{5}\)