a) \(\dfrac{3}{10}-\left(\dfrac{-5}{6}-\dfrac{7}{15}\right)\)
\(=\dfrac{3}{10}-\left(\dfrac{-25}{30}-\dfrac{14}{30}\right)\)
\(=\dfrac{3}{10}-\dfrac{-39}{30}\)
\(=\dfrac{9}{30}-\dfrac{-39}{30}\)
\(=\dfrac{48}{30}=\dfrac{8}{5}\)
b) \(\dfrac{19}{13}-\dfrac{6}{13}+\left(-11\right)\)
\(=1+\left(-11\right)\)
\(=-10\)
c) \(\dfrac{-8}{13}.\dfrac{3}{4}+\dfrac{-8}{13}.\dfrac{-5}{6}-\dfrac{-8}{13}\)
\(=\dfrac{-8}{13}.\left(\dfrac{3}{4}+\dfrac{-5}{6}\right)-\dfrac{-8}{13}\)
\(=\dfrac{-8}{13}.\left(\dfrac{18}{24}+\dfrac{-20}{24}\right)-\dfrac{-8}{13}\)
\(=\dfrac{-8}{13}.\dfrac{-1}{12}-\dfrac{-8}{13}\)
\(=\dfrac{8}{156}-\dfrac{-8}{13}\)
\(=\dfrac{2}{39}-\dfrac{-8}{13}\)
\(=\dfrac{2}{39}-\dfrac{-24}{39}\)
\(=\dfrac{26}{39}=\dfrac{2}{3}\)