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-(3-1/2)-[-(5/2-2/3)-1/4]=

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-(3-1/2)-[-(5/2-2/3)-1/4]=

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$-\left(3-\dfrac{1}{2}\right)-\left[-\left(\dfrac{5}{2}-\dfrac{2}{3}\right)-\dfrac{1}{4}\right]=$

$= -\left(\dfrac{6-1}{2}\right)-\left[-\left(\dfrac{15-4}{6}\right)-\dfrac{1}{4}\right]=$

$= -\dfrac{5}{2}-\left[-\dfrac{11}{6}-\dfrac{1}{4}\right]=$

$= -\dfrac{5}{2}-\left[\dfrac{-22-3}{12}\right]=$

$= -\dfrac{5}{2}-\left[-\dfrac{25}{12}\right]=$

$= -\dfrac{5}{2}+\dfrac{25}{12}=$

$= \dfrac{-30+25}{12}=$

$= -\dfrac{5}{12}=$

 



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