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Fraction to Percent Calculator

Created by Bogna Szyk and Piotr Małek
Reviewed by Jack Bowater
Last updated: Jan 18, 2024

This fraction to percent calculator will answer any question you have about how to turn a fraction into a percent. Changing from fraction to percent and percent to fraction are relatively simple calculations, so we hope you can learn something useful from this page, or simply get your conversions done instantaneously, saving you your precious time.

Fraction to percentage method

The method to change a fraction to a percent is as follows:

  1. Divide the numerator by denominator.
  2. Take the result and multiply by 100.
  3. The result is the fraction as a percent.

And thats it! While this is fairly straight forward for simple fractions like 12\tfrac{1}{2},
which can be done by hand and checked using this fraction to percent calculator, more complex fractions can be converted conveniently by this calculator. The percentage calculator is also handy for this type of problem.

Fraction to percentage formula

"Well that's all well and good, Mr. Word Problem", we hear you say, "but what about the fraction to percent formula? Don't you think that would be a bit more useful?" Well, since you feel so strongly about the topic, here it is for you:

n/d * 100 = p

n is the numerator,
d is the denominator, and
p is the percentage (as a percentage!).

In most cases when working with fractions, we want to simplify the fraction. When using the convert fraction to a percent calculator, simplification is not necessary.

🙋 If the numerator represents the difference between the true and observed values and the denominator represents the true value, the fraction to percentage formula becomes the percent error formula.


How to turn a fraction into a percentage?

To turn a fraction into a percentage, write the fraction in its decimal form and multiply it by 100. For instance, say your fraction is 4/5. Divide 4 by 5; you have 0.80. Now multiply it by 100, and your result is 80%

How can I find a fraction from a percentage?

A fraction can be easily obtained from a percentage. All you need to do is place a 100 as the denominator of the number. It is the same as multiplying the number by 1/100, which is what percentage (%) stands for. In the end, you may simplify the number if needed.
Say your number is 40%. Then it becomes 40/100. It can be simplified to 4/10 and then further to 2/5.

How much is 20% in fractions?

20% is 20/100, and, if you further simplify it, 2/10.
The % symbol stands for 1/100. So, to convert any given percentage to fractions, follow the steps:

  1. Replace the % symbol with 1/100.
  2. Multiply your number with the 1 in the numerator.
  3. You will have your number over 100.
  4. Simplify if needed.

How much is 3/4 in percentage?

The fraction of 3/4 is equal to 75%. The conversion is relatively simple.

  1. Divide the numerator by the denominator
    3 / 4 = 0.75
  2. Multiply the result from Step 1 by 100.
    0.75 × 100 = 75
  3. The result is the fraction as a percentage.
Bogna Szyk and Piotr Małek
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