\(\dfrac{1}{3}.\left(-\dfrac{7}{13}\right)+\left(-\dfrac{7}{13}\right).\dfrac{3}{4}\)
\(=\left(-\dfrac{7}{13}\right).\left(\dfrac{1}{3}+\dfrac{3}{4}\right)\)
\(=\left(-\dfrac{7}{13}\right).\left(\dfrac{4}{12}+\dfrac{9}{12}\right)\)
\(=\left(-\dfrac{7}{13}\right).\dfrac{13}{12}\)
\(=\dfrac{-7}{12}\)