Percent to Fraction Calculator
To turn a percent into a fraction, write it over 100 and simplify: 42.84% = 4284/10000 = 1071/2500, 12.5% = 1/8, and 33 1/3% = 1/3. Type any percent below to get the fraction in simplest form with every step.
Accepts whole and decimal percents (42.84 or 42.84%), mixed percents (33 1/3%), fraction percents (1/2%) and values over 100%.
42.84% = 1071/2500
Decimal: 0.4284
- Write the percent over 100 (percent means “per hundred”): 42.84% = 42.84/100.
- Clear the decimal: there are 2 decimal places, so multiply the top and bottom by 100: 4284/10000.
- Simplify: the greatest common divisor of 4284 and 10000 is 4, so 4284 ÷ 4 = 1071 and 10000 ÷ 4 = 2500. Answer: 1071/2500.
Worked examples
Tap a percent to load it into the calculator.
| Percent | Over 100, whole numbers | Simplest fraction | Decimal |
|---|---|---|---|
| 4284/10000 | 1071/2500 | 0.4284 | |
| 4285/10000 | 857/2000 | 0.4285 | |
| 2666/10000 | 1333/5000 | 0.2666 | |
| 125/1000 | 1/8 | 0.125 | |
| 100/300 | 1/3 | 0.3 | |
| 200/300 | 2/3 | 0.6 | |
| 5/1000 | 1/200 | 0.005 | |
| 150/100 | 3/2 = 1 1/2 | 1.5 |
How to convert a percent to a fraction
- Write it over 100. Percent means “per hundred”, so 42.84% = 42.84/100.
- Make both numbers whole. Multiply the top and bottom by 10 for each decimal place: 42.84/100 = 4284/10000. For a mixed percent such as 33 1/3%, first write it as an improper fraction (100/3), then divide by 100 to get 100/300.
- Simplify. Divide the top and bottom by their greatest common divisor. For 4284/10000 that is 4, and 4284 ÷ 4 = 1071, 10000 ÷ 4 = 2500, so the answer is 1071/2500. See the simplify fractions calculator for more on this step.
- Over 100%? The fraction is bigger than 1, so you can also write it as a mixed number: 150% = 3/2 = 1 1/2.
Going the other way? Use the fraction to percentage calculator. To turn a plain decimal (not a percent) into a fraction, use the decimal to fraction calculator. Common values are in the fraction, decimal and percent chart.
Frequently asked questions
- How do you convert a percent to a fraction?
- Write the percent as a number over 100, then simplify. 75% = 75/100. The greatest common divisor of 75 and 100 is 25, so 75/100 = 3/4.
- How do you convert a decimal percent like 42.84% to a fraction?
- Write it over 100, then multiply the top and bottom by 10 for each decimal place so both are whole numbers: 42.84/100 = 4284/10000. Divide both by their greatest common divisor, 4, to get 1071/2500.
- What is 12.5% as a fraction?
- 12.5% = 12.5/100 = 125/1000. The greatest common divisor of 125 and 1000 is 125, so 12.5% = 1/8.
- What is 33 1/3% as a fraction?
- 33 1/3% = (100/3)/100 = 100/300 = 1/3. In the same way, 66 2/3% = 2/3. That is why 33.33% is only close to 1/3: 33.33% is exactly 3333/10000.
- How do you write a percent over 100% as a fraction?
- The same way. 150% = 150/100 = 3/2, which is the mixed number 1 1/2. Any percent above 100% gives a fraction greater than 1.
Related calculators
- Fraction to percentage calculator
- Decimal to fraction calculator
- Simplify fractions calculator
- Percentage calculator
- Fraction, decimal and percent chart
- Visual Fractions home
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"Percent to Fraction Calculator". VisualFractions.com. Accessed on November 12, 2026. http://visualfractions.com/calculator/percent-to-fraction/.
"Percent to Fraction Calculator". VisualFractions.com, http://visualfractions.com/calculator/percent-to-fraction/. Accessed 12 November, 2026.
Percent to Fraction Calculator. VisualFractions.com. Retrieved from http://visualfractions.com/calculator/percent-to-fraction/.