The convert fraction to percent calculator is your best friend in turning a fraction to a percent. You can also use it to perform a reverse calculation and turn a percent into a fraction.
In this article, we will give you a short overview of both forms and explain how to turn a fraction into a percent both by hand and with the help of this tool.
Both fractions and percentages are used to expressed numbers which are not integers. When written down in a decimal form, they always have at least one nonzero digit after the decimal separator.
When expressed as fractions, such numbers are always presented in the form of X/Y, where both X and Y are integers. Naturally, Y cannot be equal to zero.
On the other hand, when expressed as percentages, these numbers are followed by the % symbol. In this form, the number is compared to a unit, with 100% equivalent to 1. For example, 200% corresponds to 2, and 50% - to 0.5.
The method to change a fraction to percent is not complicated at all! Let's analyze the example of recalculating the fraction of 17/23 to a percentage.
Divide the numerator by denominator. In our case,
17/23 = 0.7391.
Multiply the result by
100%. In our example
0.7391 * 100% = 73.91%.
Voilà - you're done! The fraction 17/23 is equivalent to 73.91%.
Of course, you can also use this fraction to percent calculator to perform an inverse operation. If you want to express a percentage as a fraction, follow these steps:
Realize that 100% is equivalent to a unit. That means that each single percent corresponds to 1/100.
Divide your number by 100%. Let's assume we want to turn 25% into a fraction. After dividing it by 100%, we will get
Simplify the fraction by finding the greatest common factor. For 25 and 100, the LCD is equal to 25. Hence
25/100 = (25/25) / (100/25) = 1/4.
Simple calculations can be done by hand in a few seconds. If you are working with large numbers, we recommend relying on this convert fraction to percent calculator - it automatically simplifies all fractions, making hand calculations unnecessary.