\(\dfrac{-1}{3}+\dfrac{2}{5}:\dfrac{-4}{15}+\dfrac{-5}{4}\cdot\dfrac{4}{3}:\dfrac{-7}{2}\)
\(=\dfrac{-1}{3}+\dfrac{-3}{2}+\dfrac{10}{21}\)
\(=\dfrac{-19}{14}\)
=\(\dfrac{-1}{3}+\dfrac{2}{5}\cdot\dfrac{-15}{4}+\dfrac{-5}{3}\cdot\dfrac{-2}{7}\)
=\(\dfrac{-1}{3}+\dfrac{-3}{2}+\dfrac{10}{21}\)
=\(\dfrac{-14-63+20}{42}=\dfrac{-19}{14}\)