Вариант 2. Выполните вычитание: a) \(1 - \frac{4}{9}\) б) \(4 - 3 \frac{3}{4}\) в) \(7 \frac{1}{10} - 3 \frac{1}{6}\) г) \(9-\frac{5}{20}\) д) \(5-\frac{4}{14}\) е) \(8 \frac{8}{15} - \frac{9}{20}\) ж) \(4 \frac{9}{21} - 4 \frac{11}{14}\) з) \(5 \frac{5}{33} - 4 \frac{7}{22}\)

Решение:

Вариант 2

1. а) \(1 - \frac{4}{9} = \frac{9}{9} - \frac{4}{9} = \frac{5}{9}\)
2. б) \(4 - 3 \frac{3}{4} = 3 \frac{4}{4} - 3 \frac{3}{4} = \frac{1}{4}\)
3. в) \(7 \frac{1}{10} - 3 \frac{1}{6} = 7 \frac{3}{30} - 3 \frac{5}{30} = 6 \frac{33}{30} - 3 \frac{5}{30} = 3 \frac{28}{30} = 3 \frac{14}{15}\)
4. г) \(9 - \frac{5}{20} = 9 - \frac{1}{4} = 8 \frac{4}{4} - \frac{1}{4} = 8 \frac{3}{4}\)
5. д) \(5 - \frac{4}{14} = 5 - \frac{2}{7} = 4 \frac{7}{7} - \frac{2}{7} = 4 \frac{5}{7}\)
6. е) \(8 \frac{8}{15} - \frac{9}{20} = 8 \frac{32}{60} - \frac{27}{60} = 8 \frac{5}{60} = 8 \frac{1}{12}\)
7. ж) \(4 \frac{9}{21} - 4 \frac{11}{14} = 4 \frac{3}{7} - 4 \frac{11}{14} = 3 \frac{17}{14} - 4 \frac{11}{14} = \frac{21}{14} - \frac{33}{14} = -\frac{12}{14} = -\frac{6}{7}\)
8. з) \(5 \frac{5}{33} - 4 \frac{7}{22} = 5 \frac{10}{66} - 4 \frac{21}{66} = 4 \frac{76}{66} - 4 \frac{21}{66} = \frac{55}{66} = \frac{5}{6}\)

Ответ: а) \(\frac{5}{9}\); б) \(\frac{1}{4}\); в) \(3 \frac{14}{15}\); г) \(8 \frac{3}{4}\); д) \(4 \frac{5}{7}\); е) \(8 \frac{1}{12}\); ж) \(-\frac{6}{7}\); з) \(\frac{5}{6}\).