What is 45 1/2% as a fraction in the simplest form?

All the % sign is is another way of denoting hundredths, so 45 1/2% and 45 1/2 hundredths are the same thing. With this knowledge, We can write it as a fraction like this:



Converting the mixed number 45 1/2 to the improper fraction 91/2, we now have:



Dividing a number by 100 is the same thing as multiplying it by 1/100, so we can rewrite this complex fraction as the product



91/200 is irreducible, so we have our answer.