\(\dfrac{5}{11}\cdot\dfrac{-9}{7}+\dfrac{5}{7}\cdot\dfrac{2}{11}=\dfrac{-45}{77}+\dfrac{10}{77}=\dfrac{-35}{77}=\dfrac{-5}{11}\)
\(=-\dfrac{45}{77}+\dfrac{10}{77}=-\dfrac{35}{77}=-\dfrac{5}{11}\)
\(\dfrac{5}{11}\cdot\dfrac{-9}{7}+\dfrac{5}{7}\cdot\dfrac{2}{11}=\dfrac{5}{11}\cdot\dfrac{-9}{7}+\dfrac{5}{11}\cdot\dfrac{2}{7}=\dfrac{5}{11}\cdot\left(\dfrac{-9}{7}+\dfrac{2}{7}\right)=\dfrac{5}{11}\cdot\left(-\dfrac{7}{7}\right)=\dfrac{5}{11}\cdot\left(-1\right)=-\dfrac{5}{7}\)