Вариант 1. Выполните вычитание: а) \(\frac{5}{8} - \frac{1}{10}\) б) \(10 - \frac{1}{9}\) в) \(9 - \frac{5}{6}\) г) \(9 \frac{5}{6} - 2 \frac{3}{4}\) д) \(7 \frac{3}{10} - 1 \frac{7}{15}\) е) \(5 \frac{3}{24} - 1 \frac{1}{21}\)

Решение:

1. \(\frac{5}{8} - \frac{1}{10} = \frac{25-4}{40} = \frac{21}{40}\)


2. \(10 - \frac{1}{9} = 9 \frac{9}{9} - \frac{1}{9} = 9 \frac{8}{9}\)


3. \(9 - \frac{5}{6} = 8 \frac{6}{6} - \frac{5}{6} = 8 \frac{1}{6}\)


4. \(9 \frac{5}{6} - 2 \frac{3}{4} = 9 \frac{10}{12} - 2 \frac{9}{12} = 7 \frac{1}{12}\)


5. \(7 \frac{3}{10} - 1 \frac{7}{15} = 7 \frac{9}{30} - 1 \frac{14}{30} = 6 \frac{39}{30} - 1 \frac{14}{30} = 6 \frac{25}{30} = 6 \frac{5}{6}\)


6. \(5 \frac{3}{24} - 1 \frac{1}{21} = 5 \frac{7}{168} - 1 \frac{8}{168} = 4 \frac{175}{168} - 1 \frac{8}{168} = 4 \frac{167}{168}\)

Ответ: а) \(\frac{21}{40}\); б) \(9 \frac{8}{9}\); в) \(8 \frac{1}{6}\); г) \(7 \frac{1}{12}\); д) \(6 \frac{5}{6}\); е) \(4 \frac{167}{168}\).