`(1/4 + -5/13 ) + ( 2/11 +( -8/13) + 3/4 )`
`= 1/4 + -5/13 + 2/11 +( -8/13) + 3/4`
`=(1/4+3/4) + ( (-5)/13 + (-8)/13) + 2/11`
`= 1 + (-1)+2/11`
`=0+2/11`
`=2/11`
`(1/4+(-5)/13)+(2/11+(-8)/13+3/4)`
`=1/4+(-5)/13+2/11+(-8)/13+3/4`
`=(1/4+3/4)+( (-5)/13 + (-8)/13 ) + 2/11`
`= 1 + (-1) +2/11`
`= 0+2/11`
`=2/11`
`(1/4 + -5/13 ) + ( 2/11 + -8/13 + 3/4 )`
`=1/4 -5/13 + 2/11 -8/13 + 3/4`
`=(1/4 +3/4) + 2/11 + (-5/13 -8/13)`
`= 1 +2/11 -1`
`=2/11`
`(1/4 + (-5)/13 ) + ( 2/11 + (-8)/13 + 3/4 )`
`= 1/4 + (-5)/13 + 2/11 + (-8)/13 + 3/4 `
`= 2/11 + ((-8)/13 + (-5)/13) +(1/4 + 3/4 )`
`= 2/11 + (-1) + 1`
`= 2/11 + 0 `
`= 2/11`
\(\left(\dfrac{1}{4}+\dfrac{-5}{13}\right)+\left(\dfrac{2}{11}+\dfrac{-8}{13}+\dfrac{3}{4}\right)\)
\(=\dfrac{1}{4}+\dfrac{-5}{13}+\dfrac{2}{11}+\dfrac{-8}{13}+\dfrac{3}{4}\)
\(=\left(\dfrac{1}{4}+\dfrac{3}{4}\right)+\left(\dfrac{-5}{13}+\dfrac{-8}{13}\right)+\dfrac{2}{11}\)
\(=1+\left(-1\right)+\dfrac{2}{11}\)
\(=0+\dfrac{2}{11}\)
\(=\dfrac{2}{11}\)