How To Convert Fractions To Percentages – fractioncalculation.com

Sometimes, you need to convert fractions to percentages. So, how can you do it in an easy way?

The truth is that when you want to convert fractions to percentages, you have two different ways or methods:

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#1: The Denominator Way:

Simply put, using this method implies that you will need to convert a fraction to an equivalent fraction with a denominator of 100.

This method is a great way to use if the fraction has a denominator which is a factor of 100.

Here are the two quick steps you need to follow:

Divide 100 by the denominator to find the multiplier.
Multiply the numerator and denominator of the fraction by the multiplier to give you an equivalent fraction with a denominator of 100.

Practical Examples Using The Denominator Way

Practical Example #1: Convert into a percentage the fraction: 3/5

You will notice that the denominator, which is 5, is a factor of 100.

100 ÷ 5 = 20, so 20 is our multiplier.

So, you need to multiply the numerator and denominator by 20 to give you an equivalent fraction with a denominator of 100.

3/5 = (3 × 20) / (5 × 20) = 60/100

Because a percentage is simply a fraction with a denominator of 100, you have found our percentage which is 60%.

So our answer is: 3/5 = 60%

Check out our fraction to percentage calculator.

Practical Example #2: Convert into a percentage the fraction: 7/20

The denominator is 20, which is a factor of 100.

100 ÷ 20 = 5, so our multiplier is 5.

This gives us:

7/20 = (7 × 5) / (20 × 5) = 35100

Because a percentage is simply a fraction with a denominator of 100, we have found our percentage which is 35%.

So the answer is: 7/20 = 35%

Discover our simple and easy to use percent to fraction calculator.

#2: The Decimal Conversion Way:

Simply put, when you use this method, you will be converting the fraction to a decimal and then convert the decimal to a percent.

To follow this way or method, you just need to follow the next steps:

Step #1: Convert your fraction to a decimal by dividing the numerator by the denominator if you have a calculator this is easy, otherwise you need to use a division method.

Step #2: Multiply the decimal by 100 to change it into a percent.

You have now changed your fraction to a percentage.