\(\dfrac{-9}{11}\cdot\dfrac{3}{13}-\dfrac{9}{11}\cdot\dfrac{10}{13}+1\dfrac{9}{11}=\dfrac{-9}{11}\cdot\dfrac{3}{13}-\dfrac{9}{11}\cdot\dfrac{10}{13}+\dfrac{20}{11}=\dfrac{9}{11}\cdot\dfrac{-3}{13}-\dfrac{9}{11}\cdot\dfrac{10}{13}+\dfrac{20}{11}\cdot1=\dfrac{9}{11}\cdot\left(\dfrac{-3}{23}-\dfrac{10}{13}\right)+\dfrac{20}{11}=\dfrac{9}{11}\cdot\left(-1\right)+\dfrac{20}{11}=-\dfrac{9}{11}+\dfrac{20}{11}=\dfrac{11}{11}=1\)
=-9/11.3/13+-9/11.10/13+20/11
=-9/11.(3/13+10/13)+20/11
=-9/11.13/13+20/11
=-9/11.1+20/11
=-9/11+20/11
=(-9)+20/11
=11/11=1