6.59 Найдите разность: a) 7 3/5 - 1 2/5; б) 28 6/13 - 7 1/13; в) 6 - 2/5; г) 21 - 5/9; д) 4 1/7 - 1 4/7; е) 12 2/5 - 1 4/5; ж) 4 1/2 - 3 1/4; з) 5 1/7 - 3 20/21

Ответ:

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

Ответ: \(6\frac{1}{5}\)

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

Ответ: \(21\frac{5}{13}\)

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

Ответ: \(5\frac{3}{5}\)

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

Ответ: \(20\frac{4}{9}\)

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

Ответ: \(2\frac{4}{7}\)

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

Ответ: \(10\frac{3}{5}\)

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

Ответ: \(1\frac{1}{4}\)

з) \(5\frac{1}{7} - 3\frac{20}{21} = 5\frac{3}{21} - 3\frac{20}{21} = 4\frac{24}{21} - 3\frac{20}{21} = (4 - 3) + (\frac{24}{21} - \frac{20}{21}) = 1 + \frac{4}{21} = 1\frac{4}{21}\)

Ответ: \(1\frac{4}{21}\)

Ответ: