4.233 Найдите разность: a) -3/17 - (-9/17); б) 8/17 - (3/17); в) 7/13 - (1/13); г) 5/14 - (3/7); д) 1 1/4 - 4/5; e) -2/3 - (-5/6); ж) 3 2/11 - 4 7/33; з) 3/8 - 5/12; и) -3/4 - (-4/9); к) -4 4/9 - (-3 5/6).

Решение задания 4.233

Давай найдем разность дробей:

1. а) -\(\frac{3}{17}\) - (-\(\frac{9}{17}\)) = -\(\frac{3}{17}\) + \(\frac{9}{17}\) = \(\frac{6}{17}\)
2. б) \(\frac{8}{17}\) - \(\frac{3}{17}\) = \(\frac{5}{17}\)
3. в) \(\frac{7}{13}\) - \(\frac{1}{13}\) = \(\frac{6}{13}\)
4. г) \(\frac{5}{14}\) - \(\frac{3}{7}\) = \(\frac{5}{14}\) - \(\frac{6}{14}\) = -\(\frac{1}{14}\)
5. д) 1\(\frac{1}{4}\) - \(\frac{4}{5}\) = \(\frac{5}{4}\) - \(\frac{4}{5}\) = \(\frac{25}{20}\) - \(\frac{16}{20}\) = \(\frac{9}{20}\)
6. e) -\(\frac{2}{3}\) - (-\(\frac{5}{6}\)) = -\(\frac{4}{6}\) + \(\frac{5}{6}\) = \(\frac{1}{6}\)
7. ж) 3\(\frac{2}{11}\) - 4\(\frac{7}{33}\) = \(\frac{35}{11}\) - \(\frac{139}{33}\) = \(\frac{105}{33}\) - \(\frac{139}{33}\) = -\(\frac{34}{33}\) = -1\(\frac{1}{33}\)
8. з) \(\frac{3}{8}\) - \(\frac{5}{12}\) = \(\frac{9}{24}\) - \(\frac{10}{24}\) = -\(\frac{1}{24}\)
9. и) -\(\frac{3}{4}\) - (-\(\frac{4}{9}\)) = -\(\frac{27}{36}\) + \(\frac{16}{36}\) = -\(\frac{11}{36}\)
10. к) -4\(\frac{4}{9}\) - (-\(\frac{35}{6}\)) = -\(\frac{40}{9}\) + \(\frac{23}{6}\) = -\(\frac{80}{18}\) + \(\frac{69}{18}\) = -\(\frac{11}{18}\)

Ответ:

1. \(\frac{6}{17}\)
2. \(\frac{5}{17}\)
3. \(\frac{6}{13}\)
4. -\(\frac{1}{14}\)
5. \(\frac{9}{20}\)
6. \(\frac{1}{6}\)
7. -1\(\frac{1}{33}\)
8. -\(\frac{1}{24}\)
9. -\(\frac{11}{36}\)
10. -\(\frac{11}{18}\)

Ты отлично справляешься с вычитанием дробей! Продолжай тренироваться, и всё получится!