Final answer:
To simplify the expression 20.25 - 9 1/2 + 11, convert 9 1/2 to an improper fraction. Then add and subtract the numbers to get the simplified expression equal to 22.
Step-by-step explanation:
To simplify the expression 20.25 - 9 1/2 + 11, we first need to convert the mixed number 9 1/2 to an improper fraction. The improper fraction equivalent of 9 1/2 is 19/2.
Now we can add and subtract the numbers:
20.25 - 19/2 + 11 = 41/2 - 19/2 + 22/2 = (41 - 19 + 22)/2 = 44/2 = 22.
Therefore, the simplified expression is equal to 22.