From Fractions to Percentage
Divide the numerator by the denominator and multiply it by 100.
How do you change a fraction into a percentage?
If you want to change a fraction into a percentage, you need to multiply the fraction by 100. In these 3 examples we show you how you can change a fraction into a percentage. Or, in example 3, from a fraction to a decimal to a percentage. Before you start, it's good to know how a fraction works. The top number is the numerator, the bottom number is the denominator. These 2 numbers are necessary to go from a fraction to a percentage.14 numeratordenominator
On this page you will find examples and exercices. For an extensive practice go to one of the 5-step plans.
In the first example we'll change the fraction 15 into a percentage.
The goal of this method is to make the bottom number, the denominator, 100. In this case we need to change 5 into 100. A smart way to do this is to divide 100 by 5. That's 20. Then you know you have to do 5 x 20 to get to 100. when you multiply the denominator, you also need to multiply the numerator. So here we also multiply 1 by 20. When you've done all of that, you have the final fraction. In the final fraction, the numerator is the same as the percentage, 20%.
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In the first example we'll change the fraction 38 into a percentage.
Just like the previous example, we'll try to make the denominator 100. 100 divided by 8 is 12.5. Now we know that the denominator and the numerator need to be multiplied by 12.5. In the final fraction the numerator is 37.5 and now we know the percentage.
You can also change a fraction into a percentage by calculating the decimal number. When you have the decimal number, you need to multiply that by 100, the answer is your percentage. This is a quick way, especially on the calculator. Numerator divided by denominator multiplied by 100.