How to convert a fraction into a percent (fractions to percents)
In this article we shall be changing a fraction to a percent. To do this, convert the fraction to a new fraction with 100 on the denominator.
Let’s look at some questions on how to convert a fraction to a percent.
Question 1
Convert 48/200 to a percent.
Firstly:
48/200 = x/100
All you need to do is work out the numerator (x) of the equivalent fraction.
Now the denominator of the first fraction has to be divided by 2 to give 100, so you also need to divide the numerator of the fraction by 2 (48 ÷ 2)
So:
48/200 = 24/100
Therefore, 48/200 as a percent is 24%.
Question 2
Convert 415/500 to a percent.
Firstly:
415/500 = x/100
All you need to do is work out the numerator (x) of the equivalent fraction.
Now the denominator of the first fraction has to be divided by 5 to give 100, so you also need to divide the numerator of the fraction by 5 (415 ÷ 5)
So:
415/500 = 83/100
Therefore, 415/500 as a percent is 83%.
Question 3
Convert 102/300 to a percent.
Firstly:
102/300 = x/100
All you need to do is work out the numerator (x) of the equivalent fraction.
Now the denominator of the first fraction has to be divided by 3 to give 100, so you also need to divide the numerator of the fraction by 3 (102 ÷ 3)
So:
102/300 = 34/100
Therefore, 102/300 as a percentage is 34%.
Extra Questions on fractions to percents:
Easier fraction to percent questions.