`15/17 + (-9)/15 + 2/17 + 2/(-5)`
`=15/17 - 9/15 + 2/17 - 2/5`
`=(15/17+2/17) + (-9/15 - 2/5)`
`=(15/17+2/17) + (-3/5 - 2/5)`
`=17/17 + (-5/5)`
`=1+(-1)`
`=0`
= (15/17 + 2/17) + [-9/15 + (-2/5)]
= 1 + (-1) = 0
a) \(\dfrac{15}{17}+\dfrac{-9}{15}+\dfrac{2}{17}+\dfrac{2}{-5}\)
\(=\left(\dfrac{15}{17}+\dfrac{2}{17}\right)+\left(\dfrac{-3}{5}+\dfrac{-2}{5}\right)\)
\(=1+\left(-1\right)\)
\(=0\)