Вариант 4. Выполните вычитание: a) \(1-\frac{5}{6}\) б) \(5-2\frac{5}{9}\) в) \(2\frac{13}{14} - 1\frac{20}{21}\) г) \(8\frac{3}{4} - 7\frac{5}{6}\) д) \(5\frac{5}{8} - 1\frac{3}{10}\) е) \(8\frac{19}{20} - 3\frac{7}{30}\)

Решение:

Вариант 4

1. а) \(1 - \frac{5}{6} = \frac{6}{6} - \frac{5}{6} = \frac{1}{6}\)
2. б) \(5 - 2 \frac{5}{9} = 4 \frac{9}{9} - 2 \frac{5}{9} = 2 \frac{4}{9}\)
3. в) \(2 \frac{13}{14} - 1 \frac{20}{21} = 2 \frac{39}{42} - 1 \frac{40}{42} = 1 \frac{81}{42} - 1 \frac{40}{42} = \frac{41}{42}\)
4. г) \(8 \frac{3}{4} - 7 \frac{5}{6} = 8 \frac{9}{12} - 7 \frac{10}{12} = 7 \frac{21}{12} - 7 \frac{10}{12} = \frac{11}{12}\)
5. д) \(5 \frac{5}{8} - 1 \frac{3}{10} = 5 \frac{25}{40} - 1 \frac{12}{40} = 4 \frac{13}{40}\)
6. е) \(8 \frac{19}{20} - 3 \frac{7}{30} = 8 \frac{57}{60} - 3 \frac{14}{60} = 5 \frac{43}{60}\)

Ответ: а) \(\frac{1}{6}\); б) \(2 \frac{4}{9}\); в) \(\frac{41}{42}\); г) \(\frac{11}{12}\); д) \(4 \frac{13}{40}\); е) \(5 \frac{43}{60}\).