The formula this page uses
p% = p/100, then divide top and bottom by GCF(p, 100). For a decimal percent: 12.5% = 125/1000 = 1/8.
Convert percentages to fractions, with steps
Use the free percent to fraction calculator to work through the number relationship, preserve exact values, and check the result with estimation. Choose a focused operation below to calculate, inspect the method, and connect the result to a visual model.
The visual updates with your calculation.
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Show your work Step-by-step method
- The calculation method and verification will appear here.
Arithmetic
Percent to Fraction Calculator explained
The short version
- Write the percent over 100, then divide the top and bottom by their greatest common factor.
- 65% starts as 65/100 and reduces to 13/20.
- If the percent has a decimal in it, clear the point first by multiplying top and bottom by 10 or 100.
What each part means
SymbolWhat it means
p — The percent valueThe number in front of the % sign. It may be a whole number, a decimal, or over 100.
100 — The starting denominatorEvery percent begins as something over 100, because that is what percent means.
GCF — Greatest common factorThe number you divide both parts by. For percents it is usually 2, 4, 5, 10, 20, 25 or 50.
improper fraction — A top bigger than the bottomWhat you get from any percent above 100, such as 250% = 5/2.
Show your work: a full example
- Convert 65% to a fraction65%
- Write it over 10065/100
- Find the greatest common factorGCF(65, 100) = 5
- Divide both parts by 565 ÷ 5 = 13 and 100 ÷ 5 = 20
- Write the answer65% = 13/20
- Check by dividing13 ÷ 20 = 0.65, which is 65%
A second, different case
- A different case: a decimal percent and one above 10037.5%
- Write it over 10037.5/100, but a fraction cannot have a point on top
- Multiply top and bottom by 10375/1000
- Find the greatest common factorGCF(375, 1000) = 125
- Divide both parts375 ÷ 125 = 3 and 1000 ÷ 125 = 8, so 37.5% = 3/8
- Now try 250%250/100, and GCF(250, 100) = 50
- Divide both parts250 ÷ 50 = 5 and 100 ÷ 50 = 2, so 250% = 5/2
Copy-ready example
65%
Convert 65% to a fraction
Questions about the Percent to Fraction Calculator
Which percents will not reduce at all?
The ones whose number shares no factor with 100, which means anything not divisible by 2 or 5. So 7%, 13%, 41% and 99% stay as 7/100, 13/100, 41/100 and 99/100. There is nothing wrong with these; they are already in lowest terms.
Why is 100 always the bottom number to start with?
Because that is the definition of percent. Saying 65% is the same as saying 65 out of every 100, so the fraction 65/100 is not a conversion at all, just the same statement written in fraction notation. All the real work is in the reducing.
How do I handle a percent like 16 and 2/3 percent?
Turn the mixed number into an improper fraction first: 16 and 2/3 is 50/3. Then divide by 100, which means multiplying by 1/100: 50/3 × 1/100 = 50/300 = 1/6. Percents like this show up whenever a sixth or a twelfth is involved.
Should my answer be a fraction or a mixed number?
For percents under 100, a plain fraction is the natural answer. For percents over 100 the fraction is top-heavy, so 250% = 5/2 can also be written as 2 and 1/2. Both are correct; pick whichever the rest of the question is using.
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