Вопрос:

№2. Выполните действия: а) (30 rac{16}{43} + 42 rac{19}{43} + 9 rac{8}{43}) б) (4 rac{112}{113} + 7 rac{101}{113}) в) (21 rac{29}{48} - 4 rac{5}{48}) г) (180 rac{}{}- rac{179}{180}) д) (23 rac{4}{19} - 22 rac{7}{19})

Ответ:

а) (30 rac{16}{43} + 42 rac{19}{43} + 9 rac{8}{43} = (30+42+9) + ( rac{16}{43} + rac{19}{43} + rac{8}{43}) = 81 + rac{16+19+8}{43} = 81 + rac{43}{43} = 81 + 1 = 82) б) (4 rac{112}{113} + 7 rac{101}{113} = (4+7) + ( rac{112}{113} + rac{101}{113}) = 11 + rac{112+101}{113} = 11 + rac{213}{113} = 11 + 1 rac{100}{113} = 12 rac{100}{113}) в) (21 rac{29}{48} - 4 rac{5}{48} = (21-4) + ( rac{29}{48} - rac{5}{48}) = 17 + rac{29-5}{48} = 17 + rac{24}{48} = 17 + rac{1}{2} = 17 rac{1}{2}) г) (180 - rac{179}{180} = 179 rac{180}{180} - rac{179}{180} = 179 rac{180-179}{180} = 179 rac{1}{180}) д) (23 rac{4}{19} - 22 rac{7}{19} = (23-22) + ( rac{4}{19} - rac{7}{19}) = 1 - rac{3}{19} = rac{19}{19} - rac{3}{19} = rac{16}{19})
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