Fraction to Percent Calculator
Use this calculator to easily convert a fraction to a percentage.
How to convert a fraction to a percentage?
Since a percent is just a decimal number divided by one hundred, working backwards means that we need to first convert the fraction to a decimal. In order to do this, we need to either multiply or divide both the numerator and denominator by a value such that the denominator becomes a power of ten. Then we can easily perform the division by shifting the decimal point the required number of places (e.g. 1 for a denominator of 10, 2 for 100, 3 for 1000, and so on). Dividing the result by 100 and appending the percent sign (%) is then all that is needed.
If we know that the a real estate agent's commission is 3/50 of a home's sale price, we can calculate that as a percentage by first multiplying both sides by two to get the denominator to be a power of 10 (100 = 102), so we get 6/100, then we divide by 100 to get the percentage, which is then 6/100*100, the one hundred's cancel out and we get 6%.
In another scenario, consider a pizza is split in 12 pieces and someone takes 9 of them. What percentage of the pizza remains? The remainder of the pizza is 12-9 = 3 pieces, so the fraction is 3/12. To arrive at a denominator which is a power of 10, both can be divided by 3, resulting in 1/4, and then 4 can be multiplied by 2.5 to get 10. Multiplying the numerator which is now 1, by 2.5, results in 2.5. The result of the calculation in percent is 2.5/10*100 = 25%.
Fraction to percent conversion table
This table can be used as a reference for fractions commonly encountered in simple school or college math homework tasks.
The above table can be used by selecting the fraction from the left column and finding the corresponding percentage from the right column on the same row.
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., "Fraction to Percent Calculator", [online] Available at: https://www.gigacalculator.com/calculators/fraction-to-percent-calculator.php URL [Accessed Date: 31 Jul, 2021].