\(\dfrac{3}{2}.\dfrac{7}{2}+\left(\dfrac{-5}{6}+\dfrac{1}{10}\right):\dfrac{11}{30}\)
=\(\dfrac{21}{4}\)+(\(\dfrac{-25}{30}+\dfrac{3}{30}\)):\(\dfrac{11}{30}\)
=\(\dfrac{21}{4}\)+\(\dfrac{-11}{15}\):\(\dfrac{11}{30}\)
=\(\dfrac{21}{4}\)+(-2)
=\(\dfrac{21}{4}\)+\(\dfrac{-8}{4}\)=\(\dfrac{13}{4}\)
\(\dfrac{3}{2}.\dfrac{7}{2}+\left(\dfrac{-5}{6}+\dfrac{1}{10}\right):\dfrac{11}{30}\)
\(=\dfrac{21}{4}+\dfrac{-11}{15}:\dfrac{11}{30}\)
\(=\dfrac{21}{4}+\left(-2\right)\)
\(=\dfrac{13}{4}\)