\(\left(\dfrac{7}{9}-\dfrac{1}{3}\right)\cdot\left[-\dfrac{5}{6}\right]:\left(2\dfrac{1}{12}\right)+\left(\dfrac{13}{5}-\dfrac{7}{10}\right)\cdot\left(6\dfrac{2}{3}\right)\cdot\left(\dfrac{1}{4}-\dfrac{3}{8}\right)\)
\(=\dfrac{4}{9}\cdot\dfrac{5}{6}:\dfrac{25}{12}+\dfrac{19}{10}\cdot\dfrac{20}{3}\cdot\left(-\dfrac{1}{8}\right)\)
\(=\dfrac{8}{45}+\left(-\dfrac{19}{12}\right)=-\dfrac{253}{180}\)
\(=\dfrac{4}{9}.\dfrac{5}{6}.\dfrac{12}{25}+\dfrac{19}{10}.\dfrac{20}{3}.\left(\dfrac{-1}{8}\right)=\dfrac{8}{25}+\left(\dfrac{-19}{12}\right)=\dfrac{-379}{300}\)