Respuesta :

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]

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