Convert a percentage into a simplified fraction with exact steps. Works for whole percentages, decimals, and negative percentages.
To convert 12.5% to a fraction, write it as 12.5/100, clear the decimal to get 125/1000, then simplify. The result is 1/8.
12.5% equals 1/8.
- Remove the percent sign: 12.5.
- Write as 12.5/100.
- Clear the decimal: 125/1000.
- Simplify to 1/8.
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How to Convert Percent to Fraction
Enter the percent, with or without the percent sign. The converter divides by 100, clears any decimal places, and simplifies the fraction using the greatest common divisor.
- Remove the percent sign.
- Write the number over 100.
- Clear decimals if needed.
- Simplify the fraction.
Percent to Fraction Formula
A percent means per 100. That is why every percent first becomes a number over 100.
Converting Decimal Percentages
Decimal percentages need one extra step. Move the decimal by multiplying the numerator and denominator by 10, 100, or 1000 until the numerator is a whole number.
For example, 0.5% = 0.5/100 = 5/1000 = 1/200.
Percent to Fraction Examples
75%
75/100 simplifies to 3/4.
12.5%
12.5/100 becomes 125/1000, which simplifies to 1/8.
0.5%
0.5/100 becomes 5/1000, which simplifies to 1/200.
Common Percent Conversion Mistakes
Forgetting to divide by 100
75% is 75/100, not 75/1.
Stopping before simplifying
Always reduce the fraction to simplest form unless the problem asks for an unsimplified fraction.
Confusing 0.5% with 50%
0.5% equals 1/200. It is much smaller than 50%, which equals 1/2.
Percent to Fraction FAQs
What is 25% as a fraction?
25% = 25/100 = 1/4.
What is 12.5% as a fraction?
12.5% = 12.5/100 = 125/1000 = 1/8.
Can this handle negative percentages?
Yes. A negative percent becomes a negative fraction.
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Reviewer
This educational math content is reviewed under the SolverCalc reviewer rule by Prof. Dr. Khalil Mudassar. WordPress adds the author bio automatically, so this page does not include a duplicate author box.
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Use related fraction and percent tools to move between percents, decimals, and fractions.
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Disclaimer
This converter is intended for general educational and practical use. Review exact inputs before using results in graded work.