Percent to Fraction

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

Our % to fraction calculator is straightforward:

Just enter your percentage without the % symbol, our converter then produces the result in lowest terms automatically. Press the button only in case you want to start over.

Result is...

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If you like our tool, then make sure to bookmark us right now.

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:

  1. Write the percentage as \large\frac{\text{percent}}{100}.
  2. 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.
  3. 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:

  • 3%: \frac{\text{3}}{100}

    The fraction cannot be reduced because the gcd(3,100) is 1.

  • 4%: \frac{\text{4}}{100}

    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 = \frac{\text{1}}{25}.

  • 10.5%: \frac{\text{10.5}}{100}

    The fraction has one decimal digit. Thus:

    \frac{\text{10.5}}{100}\frac{\text{105}}{1000}

    The gcd(105,1000) = 5. So:

    \frac{\text{105}}{1000}\frac{\text{21}}{200}

    Therefore, 10.5% as a fraction in simplest form = \frac{\text{21}}{200}.

  • 133.125%: \frac{\text{133.125}}{100}

    The fraction has three decimal digits. Thus:

    \frac{\text{133.125}}{100}\frac{\text{133125}}{100000}

    The gcd(133125,100000) = 625. So:

    \frac{\text{133125}}{100000}\frac{\text{213}}{160}

    Therefore, 133.125% as a fraction in simplest form = \frac{\text{213}}{160}.

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.

Table

Last, but not least, here’s our table containing common values:

PercentFraction
11/100
22/100
33/100
44/100
55/100
66/100
77/100
88/100
99/100
1010/100
1111/100
1212/100
1313/100
1414/100
1515/100
1616/100
1717/100
1819/100
1919/100
2020/100
2121/100
2222/100
2323/100
2424/100
2525/100
2626/100
2727/100
2828/100
2929/100
3030/100
3131/100
3232/100
3333/100
3434/100
3535/100
3636/100
3737/100
3838/100
3939/100
4040/100
7141/100
7242/100
7343/100
7444/100
7545/100
7646/100
7747/100
7848/100
7949/100
8050/100
4151/100
4252/100
4353/100
4454/100
4555/100
4656/100
4757/100
4858/100
4959/100
5060/100
5161/100
5262/100
5363/100
5464/100
5565/100
5666/100
5767/100
5868/100
5969/100
6070/100
6171/100
6272/100
6373/100
6474/100
6575/100
6676/100
6777/100
6878/100
6979/100
7080/100
8181/100
8282/100
8383/100
8484/100
8585/100
8686/100
8787/100
8888/100
8989/100
9090/100
9191/100
9292/100
9393/100
9494/100
9595/100
9696/100
9797/100
9898/100
9999/100
100100/100

In the section ahead you can find some additional information related to the topic under consideration, followed by the summary of our content.

Summary

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:

Percent to Fraction

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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