to the risk of sounding redundant.
[tex]\bf \stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}} \qquad \qquad D\left(2\frac{1}{2},1 \right)\implies D\left(\frac{5}{2},1 \right)\\\\
-------------------------------\\\\
\textit{middle point of 2 points }[/tex]
[tex]\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
C&({{ x}}\quad ,&{{ y}})\quad
% (c,d)
E&({{ -3}}\quad ,&{{ -2}})
\end{array}\qquad
% coordinates of midpoint
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left( \cfrac{-3+x}{2}~~,~~\cfrac{-2+y}{2} \right)=\stackrel{midpoint}{\left( \frac{5}{2}~,~1 \right)}\implies
\begin{cases}
\cfrac{-3+x}{2}=\cfrac{5}{2}\\\\
-3+x=5\\
\boxed{x=8}\\
----------\\
\cfrac{-2+y}{2}=1\\\\
-2+y=2\\
\boxed{y=4}
\end{cases}[/tex]
