\(\dfrac{13}{25}+\dfrac{6}{41}-\dfrac{38}{25}+\dfrac{35}{41}\\ =\left(\dfrac{13}{25}-\dfrac{38}{25}\right)+\left(\dfrac{6}{41}+\dfrac{35}{41}\right)\\ =\dfrac{13-38}{25}+\dfrac{6+35}{41}\\ =\dfrac{-25}{25}+\dfrac{41}{41}\\ =-1+1\\ =0\)
=\(\dfrac{13}{25}-\dfrac{38}{25}+\dfrac{6}{41}+\dfrac{35}{41}\)
=\(-1+1\)
=0
\(\dfrac{13}{25}+\dfrac{6}{41}-\dfrac{38}{25}+\dfrac{35}{41}\)
\(=\left(\dfrac{13}{25}-\dfrac{38}{25}\right)+\left(\dfrac{6}{41}+\dfrac{35}{41}\right)\)
\(=-1+1\)
\(=0\)