To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. If we wanted to write [tex]\frac{1}{5}[/tex] as a percent, we need to find a fraction equivalent to [tex]\frac{1}{5}[/tex] that has a 100 in the denominator. We can do this by setting up a proportion.
[tex]\frac{1}{5}[/tex] = [tex]\frac{n}{100}[/tex]
Now, we can use cross products to find the missing value.
5n = 100
÷5 ÷5 ← divide by 5 on both sides
n = 20
Therefore, [tex]\frac{1}{5}[/tex] can be written as 20%.
