5.282 Вычислите значение выражения: a) 14 9/13 - 1 5/13 +12 11/13 б) 7 24/25 - 3 12/25 - 1 7/25 ; в) 17 7/40 + 3 9/40 - 17/40 ; г) 23 15/49 - 13 19/49 - 1 30/49 .

a) $$14 \frac{9}{13} - 1 \frac{5}{13} +12 \frac{11}{13} = (14-1+12) + (\frac{9}{13} - \frac{5}{13} + \frac{11}{13}) = 25 + \frac{15}{13} = 25 + 1 \frac{2}{13} = 26 \frac{2}{13}$$ Ответ: 26 2/13 б) $$7 \frac{24}{25} - 3 \frac{12}{25} - 1 \frac{7}{25} = (7-3-1) + (\frac{24}{25} - \frac{12}{25} - \frac{7}{25}) = 3 + \frac{5}{25} = 3 \frac{5}{25} = 3 \frac{1}{5}$$ Ответ: 3 1/5 в) $$17 \frac{7}{40} + 3 \frac{9}{40} - \frac{17}{40} = (17+3) + (\frac{7}{40} + \frac{9}{40} - \frac{17}{40}) = 20 + \frac{-1}{40} = 19 + 1 - \frac{1}{40} = 19 + \frac{40}{40} - \frac{1}{40} = 19 + \frac{39}{40} = 19 \frac{39}{40}$$ Ответ: 19 39/40 г) $$23 \frac{15}{49} - 13 \frac{19}{49} - 1 \frac{30}{49} = (23-13-1) + (\frac{15}{49} - \frac{19}{49} - \frac{30}{49}) = 9 - \frac{34}{49} = 8 + 1 - \frac{34}{49} = 8 + \frac{49}{49} - \frac{34}{49} = 8 + \frac{15}{49} = 8 \frac{15}{49}$$ Ответ: 8 15/49