Вопрос:
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) $$8\frac{8}{15}-4\frac{9}{20}$$
д) $$4\frac{9}{21}-4\frac{11}{14}$$
е) $$5\frac{5}{33}-4\frac{7}{22}$$
Ответ:
Решение:
- \( 1 - \frac{4}{9} = \frac{9}{9} - \frac{4}{9} = \frac{5}{9} \)
- \( 4 - 3\frac{3}{4} = 3\frac{4}{4} - 3\frac{3}{4} = \frac{1}{4} \)
- \( 7\frac{1}{10} - 3\frac{1}{6} = 7\frac{3}{30} - 3\frac{5}{30} = 6\frac{33}{30} - 3\frac{5}{30} = 3\frac{28}{30} = 3\frac{14}{15} \)
- \( 8\frac{8}{15} - 4\frac{9}{20} = 8\frac{32}{60} - 4\frac{27}{60} = 4\frac{5}{60} = 4\frac{1}{12} \)
- \( 4\frac{9}{21} - 4\frac{11}{14} = 4\frac{3}{7} - 4\frac{11}{14} = \frac{3}{7} - \frac{11}{14} = \frac{6}{14} - \frac{11}{14} = -\frac{5}{14} \)
- \( 5\frac{5}{33} - 4\frac{7}{22} = 5\frac{10}{66} - 4\frac{21}{66} = 4\frac{76}{66} - 4\frac{21}{66} = \frac{55}{66} = \frac{5}{6} \)
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