Convert PERCENT to FRACTION, Free
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How to convert PERCENT to FRACTION
A percentage is a number expressed as parts per hundred. Converting a percent to a fraction means writing it over 100, then reducing that fraction to its lowest terms by dividing numerator and denominator by their greatest common divisor. For example, 75% is 75/100, which reduces to 3/4 because both 75 and 100 are divisible by 25. 33.333...% converts to 1/3 exactly, handling the repeating decimal properly.
This converter computes the exact fraction from the percent you enter, simplifies it to lowest terms, and shows both the simplified fraction and the reduction steps. The calculation runs instantly in your browser with no server request. It handles whole number percentages, decimals like 12.5%, and repeating decimals like 33.333%.
Enter the percentage
Type the percent value. Do not include the percent sign; just the number. For 37.5 percent, enter 37.5.
See the initial fraction
The converter first writes the percentage over 100: 37.5% becomes 37.5/100. For decimal percentages, it multiplies numerator and denominator to clear the decimal: 37.5/100 = 375/1000.
Read the simplified result
The GCD (greatest common divisor) of numerator and denominator is computed and both values are divided by it. 375/1000 divides by GCD 125 to give 3/8.
Verify with division
Cross-check by dividing the fraction: 3 / 8 = 0.375 = 37.5%. If the result does not match, the input percent may have a very long repeating decimal that requires additional precision.
Frequently asked questions
What is 33.33% as a fraction?
33.33% is approximately 1/3 (which is exactly 33.333... repeating percent). If you enter 33.33 the converter will produce 3333/10000, which does not simplify to 1/3. For the exact fraction 1/3, you would need to enter 33.333... or handle it as a repeating decimal.
How do you find the GCD to reduce a fraction?
The Euclidean algorithm: divide the larger number by the smaller and take the remainder, then repeat with the smaller number and the remainder, until the remainder is 0. The last non-zero remainder is the GCD. For 375 and 1000: 1000 / 375 = 2 remainder 250; 375 / 250 = 1 remainder 125; 250 / 125 = 2 remainder 0. GCD = 125.
Can I convert a percentage greater than 100% to a fraction?
Yes. 150% converts to 150/100 = 3/2, which as a mixed number is 1 and 1/2. Percentages above 100 produce improper fractions (where numerator is larger than denominator).
What is 0.5% as a fraction?
0.5% = 0.5/100 = 5/1000 = 1/200. To convert: multiply numerator and denominator by 10 to clear the decimal (5/1000), then divide by GCD 5 to get 1/200.