Table of Contents
Welcome to percent to fraction, our website dedicated to explaining the conversion of a percentage into a fraction.
If you have been looking for turning percents into fractions or writing percents as fractions, then you have come to the right site as well. 🙂
Right below you can find our calculator, the math is explained in full detail further below.
Percent to Fraction Calculator
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Next, we discuss how to change a % to a ÷. We will start with the theory. After that, you can find four comprehensive examples meant to cover all cases.
How to Convert Percent to Fraction
A percentage stands for a value by the hundred. It can be expressed by means of the percent sign %, or using an abbreviation such as, pct, for example.
In order to change a % to fraction carry out these three steps:
- Write the percentage as
- If there is a decimal point, eliminate it by multiplying the denominator and the nominator by 10 to the power of the number of decimal digits. Else, proceed with the next step.
- If the greatest common divisor (gcd) is greater than 1 bring the fraction to lowest terms by dividing the nominator a and the denominator b by the gcd(a,b).
Let’s have a look at some examples:
The fraction cannot be reduced because the gcd(3,100) is 1.
The greatest common divisor of 4 and 100, gcd(4,100), equals 4. Therefore, divide both, the nominator as well as the denominator by 4 to change the fraction to simplest form.
Thus, 4% as a fraction in simplest forms =
The fraction has one decimal digit. Thus:
The gcd(105,1000) = 5. So:
Therefore, 10.5% as a fraction in simplest form =
The fraction has three decimal digits. Thus:
The gcd(133125,100000) = 625. So:
Therefore, 133.125% as a fraction in simplest form =
We hope that these examples have been useful to you.
Should you have a question related to convert % to fraction, then don’t hesitate getting in touch with us as explained further below on this page.
Last, but not least, here’s our table containing common values:
In the section ahead you can find some additional information related to the topic under consideration, followed by the summary of our content.
Taking all of the above into account, then you already know everything about writing percents as fractions and in addition you have a state-of-the-art calculator as your disposal.
You should now be in the positions to answer questions like how to turn a percent into a fraction and how to convert pct to fraction, just to name a few.
We sum our article up with the formula, valid for percentages without a decimal separator:
Make sure to remember that you need to get rid of of the decimal digits and that you ought to bring a numerator / denominator term to lowest terms as explained in full detail above.
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