\(\dfrac{3}{5}\times\dfrac{6}{11}+\dfrac{4}{5}\times\dfrac{3}{11}=\dfrac{3}{5}\times\dfrac{6}{11}+\dfrac{3}{5}\times\dfrac{4}{11}=\dfrac{3}{5}\times\left(\dfrac{6}{11}+\dfrac{4}{11}\right)=\dfrac{3}{5}\times\dfrac{10}{11}=\dfrac{6}{11}\)
=\(\left(\dfrac{3}{5}+\dfrac{4}{5}\right)x\left(\dfrac{3}{11}+\dfrac{3}{11}\right)=\dfrac{7}{5}x\dfrac{6}{11}=\dfrac{42}{55}\)