Вопрос:

№5. Выполните действия: а) (10 rac{4}{15} + 9 rac{11}{15} - 8 rac{1}{30}) б) (19 rac{1}{17} - 8 rac{9}{17} - 3 rac{15}{17}) в) ((6 rac{7}{12} + 8 rac{5}{12}) - (7 rac{16}{21} - 4 rac{6}{21}))

Ответ:

а) (10 rac{4}{15} + 9 rac{11}{15} - 8 rac{1}{30} = (10+9-8) + ( rac{4}{15} + rac{11}{15} - rac{1}{30}) = 11 + rac{8+22-1}{30} = 11 + rac{29}{30} = 11 rac{29}{30}) б) (19 rac{1}{17} - 8 rac{9}{17} - 3 rac{15}{17} = (19-8-3) + ( rac{1}{17} - rac{9}{17} - rac{15}{17}) = 8 - rac{23}{17} = 8 - 1 rac{6}{17} = 7 - rac{6}{17} = 6 rac{11}{17}) в) ((6 rac{7}{12} + 8 rac{5}{12}) - (7 rac{16}{21} - 4 rac{6}{21}) = (6+8) + ( rac{7}{12} + rac{5}{12}) - ((7-4) + ( rac{16}{21} - rac{6}{21})) = 14 + rac{12}{12} - (3 + rac{10}{21}) = 15 - 3 - rac{10}{21} = 12 - rac{10}{21} = 11 rac{11}{21})
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