Вычисли значение выражений. a) 5-3 5 2 3 6) 10-6 11 5 B) 8-3- 7 12 г) 4-2- 21 1 д) 9-8- 5 e) 14-12-

Ответ:

a) 5 - 3\(\frac{2}{3}\) = 4\(\frac{3}{3}\) - 3\(\frac{2}{3}\) = (4 - 3) + (\(\frac{3}{3}\) - \(\frac{2}{3}\)) = 1 + \(\frac{1}{3}\) = 1\(\frac{1}{3}\)

б) 10 - 6\(\frac{10}{11}\) = 9\(\frac{11}{11}\) - 6\(\frac{10}{11}\) = (9 - 6) + (\(\frac{11}{11}\) - \(\frac{10}{11}\)) = 3 + \(\frac{1}{11}\) = 3\(\frac{1}{11}\)

в) 8 - 3\(\frac{5}{7}\) = 7\(\frac{7}{7}\) - 3\(\frac{5}{7}\) = (7 - 3) + (\(\frac{7}{7}\) - \(\frac{5}{7}\)) = 4 + \(\frac{2}{7}\) = 4\(\frac{2}{7}\)

г) 4 - 2\(\frac{12}{21}\) = 3\(\frac{21}{21}\) - 2\(\frac{12}{21}\) = (3 - 2) + (\(\frac{21}{21}\) - \(\frac{12}{21}\)) = 1 + \(\frac{9}{21}\) = 1\(\frac{3}{7}\)

д) 9 - 8\(\frac{1}{5}\) = 8\(\frac{5}{5}\) - 8\(\frac{1}{5}\) = (8 - 8) + (\(\frac{5}{5}\) - \(\frac{1}{5}\)) = \(\frac{4}{5}\)

e) 14 - 12\(\frac{4}{9}\) = 13\(\frac{9}{9}\) - 12\(\frac{4}{9}\) = (13 - 12) + (\(\frac{9}{9}\) - \(\frac{4}{9}\)) = 1 + \(\frac{5}{9}\) = 1\(\frac{5}{9}\)

Ответ: a) 1\(\frac{1}{3}\); б) 3\(\frac{1}{11}\); в) 4\(\frac{2}{7}\); г) 1\(\frac{3}{7}\); д) \(\frac{4}{5}\); e) 1\(\frac{5}{9}\)