Fraction to Percent Converter
Enter the numerator and denominator and the percentage appears as you type. The guide below covers the formula, mixed numbers and what to expect from repeating values.
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Created by the Reeliy Editorial Team. Last updated: Oct 19, 2026
Turning a fraction into a percentage
A percentage is a fraction whose denominator is 100. So converting 17/20 to a percentage means finding the equivalent fraction over 100, and the quickest way to do that for any fraction is to divide first and then multiply by 100.
percent = numerator ÷ denominator × 100
How to convert a fraction to a percent
- Divide the numerator by the denominator to get a decimal.
- Multiply the decimal by 100.
- Add a % sign to the result.
Example: 3/8. 3 ÷ 8 = 0.375, and 0.375 × 100 = 37.5, so 3/8 is 37.5%.
Shortcut when the denominator divides 100: 17/20 has a denominator that goes into 100 five times. Multiply the top and the bottom by 5 to get 85/100, which is 85%.
Mixed numbers: convert to an improper fraction first. 1 3/4 is (1 × 4 + 3)/4 = 7/4, and 7 ÷ 4 × 100 = 175%. Any fraction larger than 1 gives a percentage above 100.
Simplify first if you like. 45/60 reduces to 3/4, and 3 ÷ 4 × 100 = 75%. The answer is the same either way.
What the converter shows
- The % sign sits beside the answer box, so the box holds only the number.
- Up to 6 decimal places. 1/3 gives 33.333333 and 7/9 gives 77.777778. Results that terminate sooner show no trailing zeros: 3/8 is 37.5, not 37.500000.
- Decimals and negatives are accepted in both boxes: 2.5 over 0.4 gives 625 and −1 over 4 gives −25.
- A zero denominator shows Infinity, and 0 over 0 shows NaN, because dividing by zero has no value. Empty boxes count as 0.
Everyday examples
Test scores. A student who answers 42 of 50 questions correctly has 42/50, and 42 ÷ 50 × 100 = 84%. With 18 of 24, the figure is 0.75 × 100 = 75%.
Shares and portions. If a team spent 7 of its 9 budget lines this quarter, that is 7/9 = 77.777778% of the lines, which you would normally round to 77.8% when you write it down.
Comparing different denominators. 5/8 and 3/5 are hard to compare as they stand. As percentages they are 62.5% and 60%, so 5/8 is the larger. Putting everything over 100 is the whole point of a percentage.
Fraction to percent conversion table
| Fraction | Percent |
|---|---|
| 1/2 | 50% |
| 1/3 | 33.333333% |
| 2/3 | 66.666667% |
| 1/4 | 25% |
| 3/4 | 75% |
| 1/5 | 20% |
| 2/5 | 40% |
| 1/6 | 16.666667% |
| 5/6 | 83.333333% |
| 1/8 | 12.5% |
| 3/8 | 37.5% |
| 5/8 | 62.5% |
| 7/8 | 87.5% |
| 1/10 | 10% |
| 1/12 | 8.333333% |
| 1/16 | 6.25% |
| 5/4 | 125% |
| 3/2 | 150% |
| 9/5 | 180% |
Related tools
To turn a percentage into a fraction, use the percent to fraction converter. The fraction to decimal converter stops at the decimal step, and the percentage calculator covers percent change, percent of a number and similar questions.
Frequently asked questions
How do I convert 1/4 to a percent?
Divide 1 by 4 to get 0.25, then multiply by 100. The result is 25%.
How do I convert a fraction to a percent without a calculator?
If the denominator divides 100, scale the fraction to have 100 on the bottom: 7/20 becomes 35/100, which is 35%. Otherwise use long division and multiply by 100.
Can a fraction be more than 100%?
Yes. When the numerator is larger than the denominator the fraction is greater than 1, so the percentage is above 100. For example, 5/4 is 125%.
Why do repeating results end at six decimals?
A value such as 1/3 has endless 3s in its percentage. The converter rounds to six decimal places, so you see 33.333333%.
Cite this converter and page
If you use this page in your work, you can cite it as:
Reeliy Editorial Team. (2026). Fraction to Percent Converter. Reeliy. https://reeliy.com/converters/convert-fraction-to-percent“Fraction to Percent Converter.” Reeliy, 2026, https://reeliy.com/converters/convert-fraction-to-percent.