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

Решение:

1. \(1 - \frac{4}{9} = \frac{9}{9} - \frac{4}{9} = \frac{5}{9}\)


2. \(4 \frac{3}{4}\) - Вычитание не указано.


3. \(7 \frac{1}{10} - 3 \frac{1}{6} = 7 \frac{3}{30} - 3 \frac{5}{30} = 6 \frac{33}{30} - 3 \frac{5}{30} = 3 \frac{28}{30} = 3 \frac{14}{15}\)


4. \(4 \frac{9}{21} - \frac{11}{14} = 4 \frac{3}{7} - \frac{11}{14} = 4 \frac{6}{14} - \frac{11}{14} = 3 \frac{20}{14} - \frac{11}{14} = 3 \frac{9}{14}\)


5. \(5 \frac{5}{33} - 4 \frac{7}{22} = 5 \frac{10}{66} - 4 \frac{21}{66} = 4 \frac{76}{66} - 4 \frac{21}{66} = 1 \frac{55}{66} = 1 \frac{5}{6}\)


6. \(\frac{8}{15} - \frac{9}{20} = \frac{32 - 27}{60} = \frac{5}{60} = \frac{1}{12}\)

Ответ: а) \(\frac{5}{9}\); б) Ошибка в условии; в) \(3 \frac{14}{15}\); г) \(3 \frac{9}{14}\); д) \(1 \frac{5}{6}\); е) \(\frac{1}{12}\).