Вопрос:

1005. Выполните вычитание: 1) \(\frac{7}{8} - (-\frac{3}{10})\); 2) \(\frac{11}{12} - \frac{17}{18}\); 3) \(-\frac{3}{7} - \frac{9}{14}\); 4) \(-\frac{5}{9} - (-\frac{3}{4})\); 5) \(3\frac{11}{12} - (-4\frac{4}{9})\); 6) \(4\frac{5}{17} - 6\); 7) \(1\frac{3}{8} - 3\frac{1}{4}\); 8) \(-2\frac{14}{15} - 1\frac{19}{45}\); 9) \(-3\frac{1}{6} - (-1\frac{1}{4})\).

Ответ:

Решение: 1) \(\frac{7}{8} - (-\frac{3}{10}) = \frac{7}{8} + \frac{3}{10} = \frac{35}{40} + \frac{12}{40} = \frac{47}{40} = 1\frac{7}{40}\) 2) \(\frac{11}{12} - \frac{17}{18} = \frac{33}{36} - \frac{34}{36} = -\frac{1}{36}\) 3) \(-\frac{3}{7} - \frac{9}{14} = -\frac{6}{14} - \frac{9}{14} = -\frac{15}{14} = -1\frac{1}{14}\) 4) \(-\frac{5}{9} - (-\frac{3}{4}) = -\frac{5}{9} + \frac{3}{4} = -\frac{20}{36} + \frac{27}{36} = \frac{7}{36}\) 5) \(3\frac{11}{12} - (-4\frac{4}{9}) = 3\frac{11}{12} + 4\frac{4}{9} = 3 + \frac{11}{12} + 4 + \frac{4}{9} = 7 + \frac{33}{36} + \frac{16}{36} = 7 + \frac{49}{36} = 7 + 1\frac{13}{36} = 8\frac{13}{36}\) 6) \(4\frac{5}{17} - 6 = -1\frac{12}{17}\) 7) \(1\frac{3}{8} - 3\frac{1}{4} = \frac{11}{8} - \frac{13}{4} = \frac{11}{8} - \frac{26}{8} = -\frac{15}{8} = -1\frac{7}{8}\) 8) \(-2\frac{14}{15} - 1\frac{19}{45} = -\frac{44}{15} - \frac{64}{45} = -\frac{132}{45} - \frac{64}{45} = -\frac{196}{45} = -4\frac{16}{45}\) 9) \(-3\frac{1}{6} - (-1\frac{1}{4}) = -3\frac{1}{6} + 1\frac{1}{4} = -\frac{19}{6} + \frac{5}{4} = -\frac{38}{12} + \frac{15}{12} = -\frac{23}{12} = -1\frac{11}{12}\) Ответы: 1) \(1\frac{7}{40}\) 2) \(-\frac{1}{36}\) 3) \(-1\frac{1}{14}\) 4) \(\frac{7}{36}\) 5) \(8\frac{13}{36}\) 6) \(-1\frac{12}{17}\) 7) \(-1\frac{7}{8}\) 8) \(-4\frac{16}{45}\) 9) \(-1\frac{11}{12}\)
Смотреть решения всех заданий с листа
Подать жалобу Правообладателю

Похожие