Answer:
[tex]21\frac{3}{4}[/tex]
Step-by-step explanation:
Step 1: Add the numbers.
20.25 can also be expressed as [tex]20\frac{1}{4}[/tex], because [tex]\frac{2025}{100}[/tex] = [tex]\frac{81}{4}[/tex] = [tex]20\frac{1}{4}[/tex]. So if we add [tex]20\frac{1}{4}[/tex] and 11, we would get [tex]31\frac{1}{4}[/tex]
Step 2: Solve
[tex]31\frac{1}{4} -9\frac{1}{2}[/tex]
- Subtract the whole numbers
[tex]31-9=21[/tex]
This means addition. Also, since our denominators are not the same value, we have to find the LCM (Least Common Denominator): What do 2 and 4 have in common that they can divide themselves by? 4. We know this because 2 divided by 4 is 2, and 4 divided by 4 is 1, so they can both divide themselves by 4.
[tex]\frac{5}{4}-\frac{1}{2}[/tex]
LCM
[tex]\frac{5}{4}-\frac{2}{4} =\frac{3}{4}[/tex]
Therefore, the simplified expression to this is [tex]21\frac{3}{4}[/tex].
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