`[-5]/13 . 2/11+[-5]/11 . 9/13+1`
`=[-5]/13 . 2/11+[-5]/13 . 9/11+1`
`=[-5]/13 . (2/11+9/11)+1`
`=[-5]/13 . 11/11+1`
`=[-5]/13+1=[-5]/13+13/13=8/13`
\(\dfrac{-5}{13}.\dfrac{2}{11}+\dfrac{-5}{13}.\dfrac{9}{13}+1\)
\(=\dfrac{-5}{13}+\left(\dfrac{2}{11}+\dfrac{9}{11}\right)+1\)
\(=\dfrac{-5}{13}.1+1\)
\(=\dfrac{-5}{13}+1\)
\(=\dfrac{8}{13}\)