Percent to Fraction Calculator

Use this calculator to easily convert a percentage to a fraction.

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How to convert a percentage to a fraction?

Calculating a percentage from a fraction is relatively straightforward. Begin by converting the percentage to a rational floating point number by dividing it by 100 since a percentage is just a decimal represented as 'per cent', that is, per one hundred. Next, proceed to determine if the decimal is larger than one or less than minus one in which case you take the whole number part and write it down, then add the fraction part after reducing it to a simplified fraction. Usually percentages are less than 100%, meaning that there will be no whole part so the first step can be skipped and one can proceed to write down the fraction part straight away.

Practical Examples

Take for example 40%. If we are to calculate it as a fraction, first we need to divide by 100: 40 / 100 = 0.4. This decimal as a fraction is just 4/10. To simplify, we try to find the common divider which in this case is 2. Dividing both sides by 2 results in the simplied fraction 2/5, which is our end result.

For a more complicated example, say an investment brought a return of 150%. How to express that percentage as a fraction? First, the whole part is 100%, which is just 1, so we write that down. Next we have 50%, divide by 100 to get 0.5 which is 5/10. The greatest common divisor is 5 and dividing both sides by it results in 1/2. The end result is therefore 1 and 1/2, or 1 1/2 as a fraction.

Cite this calculator & page

If you'd like to cite this online calculator resource and information as provided on the page, you can use the following citation:
Georgiev G.Z., "Percent to Fraction Calculator", [online] Available at: URL [Accessed Date: 14 Apr, 2021].