The expression we need to simplify is
[tex]20.25-9\frac{1}{2}+11[/tex]First, let us convert the mixed number to a fraction:
[tex]\begin{gathered} 9\frac{1}{2}=9+\frac{1}{2} \\ \end{gathered}[/tex][tex]\rightarrow9\cdot\frac{2}{2}+\frac{1}{2}[/tex][tex]\frac{19}{2}[/tex]Now our expression has become
[tex]20.25-\frac{19}{2}+11[/tex]Adding 20.25 and 11 gives
[tex]31.25-\frac{19}{2}[/tex][tex]\rightarrow31.25\cdot\frac{2}{2}-\frac{19}{2}[/tex][tex]\rightarrow\frac{62.5}{2}-\frac{19}{2}[/tex][tex]\rightarrow\frac{43.5}{2}[/tex][tex]\rightarrow21.75.[/tex]