Вопрос:

1) 3 \(\frac{2}{5}\) - \(\frac{3}{5}\) + 1 \(\frac{1}{5}\) 2) 8 \(\frac{7}{9}\) - 3 \(\frac{4}{9}\) + 5 \(\frac{8}{9}\) 3) 25 \(\frac{13}{40}\) - (24 \(\frac{13}{40}\) + \(\frac{19}{40}\)) 4) (24 \(\frac{9}{11}\) + \(\frac{7}{11}\)) - 24 \(\frac{9}{11}\) 5) (4 \(\frac{17}{30}\) + 52 \(\frac{29}{30}\)) - 50 \(\frac{29}{30}\) 6) (4 - 1 \(\frac{2}{7}\)) - (\(\frac{6}{7}\) + 1 \(\frac{1}{7}\)) 7) (12 \(\frac{1}{8}\) - 4 \(\frac{5}{8}\) + 0) - 6 \(\frac{7}{8}\) 8) (1 \(\frac{3}{17}\) + 5 \(\frac{16}{17}\)) + (1 \(\frac{1}{17}\) + 2 \(\frac{14}{17}\)) - 5 \(\frac{12}{17}\)

Смотреть решения всех заданий с листа

Ответ:

Решение:

  1. 3 \(\frac{2}{5}\) - \(\frac{3}{5}\) + 1 \(\frac{1}{5}\) = \(\frac{17}{5}\) - \(\frac{3}{5}\) + \(\frac{6}{5}\) = \(\frac{17 - 3 + 6}{5}\) = \(\frac{20}{5}\) = 4
  2. 8 \(\frac{7}{9}\) - 3 \(\frac{4}{9}\) + 5 \(\frac{8}{9}\) = \(\frac{79}{9}\) - \(\frac{31}{9}\) + \(\frac{53}{9}\) = \(\frac{79 - 31 + 53}{9}\) = \(\frac{101}{9}\) = 11 \(\frac{2}{9}\)
  3. 25 \(\frac{13}{40}\) - (24 \(\frac{13}{40}\) + \(\frac{19}{40}\)) = \(\frac{1013}{40}\) - (\(\frac{973}{40}\) + \(\frac{19}{40}\)) = \(\frac{1013}{40}\) - \(\frac{992}{40}\) = \(\frac{1013 - 992}{40}\) = \(\frac{21}{40}\)
  4. (24 \(\frac{9}{11}\) + \(\frac{7}{11}\)) - 24 \(\frac{9}{11}\) = (\(\frac{273}{11}\) + \(\frac{7}{11}\)) - \(\frac{273}{11}\) = \(\frac{280}{11}\) - \(\frac{273}{11}\) = \(\frac{280 - 273}{11}\) = \(\frac{7}{11}\)
  5. (4 \(\frac{17}{30}\) + 52 \(\frac{29}{30}\)) - 50 \(\frac{29}{30}\) = (\(\frac{137}{30}\) + \(\frac{1589}{30}\)) - \(\frac{1529}{30}\) = \(\frac{1726}{30}\) - \(\frac{1529}{30}\) = \(\frac{1726 - 1529}{30}\) = \(\frac{197}{30}\) = 6 \(\frac{17}{30}\)
  6. (4 - 1 \(\frac{2}{7}\)) - (\(\frac{6}{7}\) + 1 \(\frac{1}{7}\)) = (4 - \(\frac{9}{7}\)) - (\(\frac{6}{7}\) + \(\frac{8}{7}\)) = (\(\frac{28}{7}\) - \(\frac{9}{7}\)) - \(\frac{14}{7}\) = \(\frac{19}{7}\) - \(\frac{14}{7}\) = \(\frac{19 - 14}{7}\) = \(\frac{5}{7}\)
  7. (12 \(\frac{1}{8}\) - 4 \(\frac{5}{8}\) + 0) - 6 \(\frac{7}{8}\) = (\(\frac{97}{8}\) - \(\frac{37}{8}\) + 0) - \(\frac{55}{8}\) = \(\frac{60}{8}\) - \(\frac{55}{8}\) = \(\frac{60 - 55}{8}\) = \(\frac{5}{8}\)
  8. (1 \(\frac{3}{17}\) + 5 \(\frac{16}{17}\)) + (1 \(\frac{1}{17}\) + 2 \(\frac{14}{17}\)) - 5 \(\frac{12}{17}\) = (\(\frac{20}{17}\) + \(\frac{101}{17}\)) + (\(\frac{18}{17}\) + \(\frac{48}{17}\)) - \(\frac{97}{17}\) = \(\frac{121}{17}\) + \(\frac{66}{17}\) - \(\frac{97}{17}\) = \(\frac{121 + 66 - 97}{17}\) = \(\frac{90}{17}\) = 5 \(\frac{5}{17}\)

Ответ: 1) 4; 2) 11 \(\frac{2}{9}\); 3) \(\frac{21}{40}\); 4) \(\frac{7}{11}\); 5) 6 \(\frac{17}{30}\); 6) \(\frac{5}{7}\); 7) \(\frac{5}{8}\); 8) 5 \(\frac{5}{17}\)

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