\(=\dfrac{5}{11}\left(-\dfrac{3}{7}-\dfrac{5}{7}\right)+\dfrac{-8}{7}\cdot\dfrac{6}{11}=\dfrac{-8}{7}\left(\dfrac{5}{11}+\dfrac{6}{11}\right)=-\dfrac{8}{7}\)
\(\dfrac{5}{11}.\left(-\dfrac{3}{7}\right)+\dfrac{5}{11}.\left(-\dfrac{5}{7}\right)+\left(-\dfrac{8}{7}\right).\dfrac{6}{11}\)
\(=\dfrac{5}{11}.\left[-\dfrac{3}{7}+\left(-\dfrac{5}{7}\right)\right]+\left(-\dfrac{8}{7}\right).\dfrac{6}{11}\)
\(=\dfrac{5}{11}.\left(-\dfrac{8}{7}\right)+\left(-\dfrac{8}{7}\right).\dfrac{6}{11}=\left(\dfrac{5}{11}+\dfrac{6}{11}\right).\left(-\dfrac{8}{7}\right)\)
\(=1.\left(-\dfrac{8}{7}\right)=-\dfrac{8}{7}\)
\(\dfrac{5}{11}.\left(-\dfrac{3}{7}\right)+\dfrac{5}{11}.\left(-\dfrac{5}{7}\right)+\left(-\dfrac{8}{7}\right).\dfrac{6}{11}\)
\(=\dfrac{5}{11}.\left(-\dfrac{3}{7}-\dfrac{5}{7}\right)+\left(-\dfrac{8}{7}\right).\dfrac{6}{11}\)
\(=\dfrac{5}{11}.\left(-\dfrac{8}{7}\right)+\left(-\dfrac{8}{7}\right).\dfrac{6}{11}\)
\(=\left(-\dfrac{8}{7}\right).\left(\dfrac{5}{11}+\dfrac{6}{11}\right)\)
\(=\left(-\dfrac{8}{7}\right).1\)
\(=-\dfrac{8}{7}\)
\(\dfrac{5}{11} . \left(-\dfrac{3}{7}\right)+\dfrac{5}{11} . \left(-\dfrac{5}{7}\right)+\left(-\dfrac{8}{7}\right) . \dfrac{6}{11}=\left[\dfrac{5}{11} . \left(-\dfrac{3}{7}+-\dfrac{5}{7}\right)\right]+\left(-\dfrac{8}{7}\right) . \dfrac{6}{11}=\dfrac{5}{11} . \left(-\dfrac{8}{7}\right)+\left(-\dfrac{8}{7}\right) . \dfrac{6}{11}=\left(\dfrac{5}{11}+\dfrac{6}{11}\right) . \left(-\dfrac{8}{7}\right)=1 . \left(-\dfrac{8}{7}\right)=-\dfrac{8}{7}\)