To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. If we want to write [tex]\frac{9}{20}[/tex] as a percent, we need to find a fraction equivalent to [tex]\frac{9}{20}[/tex] that has a 100 in the denominator. We can do this by setting up a proportion.
[tex]\frac{9}{20}[/tex] = [tex]\frac{n}{100}[/tex]
Now, we can use cross products to find the missing value.
20n = 900
÷20 ÷20 ← divide by 20 on both sides
n = 45
Therefore, [tex]\frac{9}{20}[/tex] is equal to [tex]\frac{45}{100}[/tex] or 45%.