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# Evaluate each expression if $p=-4, q=8$, and $r=-10$. See the mentioned example.$\dfrac{\dfrac{q}{4}-\dfrac{r}{5}}{\dfrac{p}{2}+\dfrac{q}{2}}$

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Given that $p=-4$, $q=8$, and $r=-10$, we can evaluate the given expression.

\begin{aligned} \frac{\frac{q}{4}-\frac{r}{5}}{\frac{p}{2}+\frac{q}{2}} &=\frac{\frac{8}{4}-\frac{-10}{5}}{\frac{-4}{2}+\frac{8}{2}}&&\text{Substitute p= - 4, q= 8, and r= -10}\\ &=\frac{\frac{8}{4}+\frac{10}{5}}{-\frac{4}{2}+\frac{8}{2}}&&\text{Simplify}\\ &=\frac{2+2}{-2+4}&&\text{Simplify}\\ &=\frac{4}{2}&&\text{Add}\\ &=2&&\text{Simplify}\\ \end{aligned}

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