6.59 Найдите разность: a) \(7\frac{3}{5} - 1\frac{2}{5}\); б) \(6 - \frac{2}{5}\); г) \(4\frac{1}{7} - 1\frac{4}{7}\); д) \(4\frac{1}{2} - 1\frac{4}{7}\); е) \(12\frac{2}{5} - 1\frac{4}{5}\); ж) \(4\frac{1}{2} - 3\frac{1}{4}\); з) \(5\frac{7}{21} - 3\frac{20}{21}\); б) \(28\frac{6}{13} - 7\frac{1}{13}\); г) \(21 - \frac{5}{9}\);

Ответ: a) \(6\frac{1}{5}\); б) \(5\frac{3}{5}\); в) \(21\frac{5}{13}\); г) \(20\frac{4}{9}\); д) \(2\frac{4}{7}\); е) \(10\frac{3}{5}\); ж) \(1\frac{1}{4}\); з) \(1\frac{8}{21}\)

a) \(7\frac{3}{5} - 1\frac{2}{5} = (7-1) + (\frac{3}{5} - \frac{2}{5}) = 6 + \frac{1}{5} = 6\frac{1}{5}\)

б) \(6 - \frac{2}{5} = 5\frac{5}{5} - \frac{2}{5} = 5\frac{3}{5}\)

в) \(28\frac{6}{13} - 7\frac{1}{13} = (28-7) + (\frac{6}{13} - \frac{1}{13}) = 21 + \frac{5}{13} = 21\frac{5}{13}\)

г) \(21 - \frac{5}{9} = 20\frac{9}{9} - \frac{5}{9} = 20\frac{4}{9}\)

д) \(4\frac{1}{7} - 1\frac{4}{7} = 3\frac{8}{7} - 1\frac{4}{7} = (3-1) + (\frac{8}{7} - \frac{4}{7}) = 2 + \frac{4}{7} = 2\frac{4}{7}\)

е) \(12\frac{2}{5} - 1\frac{4}{5} = 11\frac{7}{5} - 1\frac{4}{5} = (11-1) + (\frac{7}{5} - \frac{4}{5}) = 10 + \frac{3}{5} = 10\frac{3}{5}\)

ж) \(4\frac{1}{2} - 3\frac{1}{4} = 4\frac{2}{4} - 3\frac{1}{4} = (4-3) + (\frac{2}{4} - \frac{1}{4}) = 1 + \frac{1}{4} = 1\frac{1}{4}\)

з) \(5\frac{7}{21} - 3\frac{20}{21} = 4\frac{28}{21} - 3\frac{20}{21} = (4-3) + (\frac{28}{21} - \frac{20}{21}) = 1 + \frac{8}{21} = 1\frac{8}{21}\)

Ответ: a) \(6\frac{1}{5}\); б) \(5\frac{3}{5}\); в) \(21\frac{5}{13}\); г) \(20\frac{4}{9}\); д) \(2\frac{4}{7}\); е) \(10\frac{3}{5}\); ж) \(1\frac{1}{4}\); з) \(1\frac{8}{21}\)