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

Решение:

1. \(1 - \frac{5}{6} = \frac{6}{6} - \frac{5}{6} = \frac{1}{6}\)


2. \(5 - 2 \frac{5}{9} = 4 \frac{9}{9} - 2 \frac{5}{9} = 2 \frac{4}{9}\)


3. \(2 \frac{13}{14} - 1 \frac{20}{21} = 2 \frac{39}{42} - 1 \frac{40}{42} = 1 \frac{71}{42} - 1 \frac{40}{42} = \frac{31}{42}\)


4. \(8 \frac{3}{4} - 5 \frac{7}{6} = 8 \frac{9}{12} - 5 \frac{14}{12} = 7 \frac{21}{12} - 5 \frac{14}{12} = 2 \frac{7}{12}\)


5. \(8 \frac{19}{20} - 3 \frac{7}{30} = 8 \frac{57}{60} - 3 \frac{14}{60} = 5 \frac{43}{60}\)

Ответ: а) \(\frac{1}{6}\); б) \(2 \frac{4}{9}\); в) \(\frac{31}{42}\); г) \(2 \frac{7}{12}\); д) \(5 \frac{43}{60}\).