\(\dfrac{-15}{8}\) x \(\left(\dfrac{8}{15}+\dfrac{32}{27}\right)\)
= \(\dfrac{-15}{8}\) x \(\dfrac{232}{135}\)
= \(\dfrac{-29}{9}\)
\(\dfrac{-15}{8}\)*\(\left(\dfrac{8}{15}+\dfrac{32}{27}\right)\)
=\(\dfrac{-15}{8}\)*\(\left(\dfrac{216+480}{405}\right)\)
=\(\dfrac{-15}{8}\)*\(\dfrac{696}{405}\)= \(\dfrac{-15}{8}\)*\(\dfrac{232}{135}\)= \(\dfrac{\left(-15\right)\cdot232}{8\cdot135}\)= \(\dfrac{\left(-1\right)\cdot29}{1\cdot9}\)= \(\dfrac{-29}{9}\)