Question

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

Answer 1

91/200 ninety-one over two hundred

Answer 2

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:

$\frac{45 \frac{1}{2} }{100}$

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

$\frac{ \frac{91}{2} }{100}$

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

$\frac{91}{2}\times \frac{1}{100} = \frac{91}{200}$

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