If Reginald answered 78% correctly out of a total 100%, we can subtract 78 from 100:
100 - 78 = 22
He answered 22% of the question incorrectly. But how do we find the bottom number? Remember what we said earlier. The total is 100%. He got 22% out of 100% wrong. Wouldn't that be [tex]\frac{22}{100}[/tex]?
Now that we know our fraction, we can reduce it. Let's start by dividing our fraction in half:
[tex]\frac{22}{100}[/tex] = [tex]\frac{11}{50}[/tex]
Can we reduce that any more? No, because 11 can not be divided by anything else.
If you want the first fraction, go with [tex]\frac{22}{100}[/tex], but if they want a reduced fraction, then [tex]\frac{11}{50}[/tex] would be best.
