Convert any percentage into a simplified fraction — decimal percentages, values above 100%, below 1% and negatives.
To convert a percent to a fraction, place the percentage over 100 and simplify. For example, 25% = 25/100 = 1/4. For a decimal percentage such as 12.5%, first remove the decimal by multiplying the numerator and denominator by 10: 12.5/100 = 125/1000 = 1/8. This calculator shows the unsimplified fraction, the greatest common divisor and the simplified result.
Enter a percentage such as 25%, 12.5%, 150% or -20%. The % sign is optional.
Type a percentage with or without the % sign — 25, 25%, 12.5%, 150%, 0.5% or -20% all work. Leading-point notation like .5% and thousands separators like 1,000% are accepted. Press Convert or the Enter key to see the simplified fraction, the unsimplified starting fraction, the divisor used, and a mixed number when the value is above one whole. Use Copy result to reuse the answer.
Write the percentage over 100. If the percentage contains a decimal point, multiply both the top and the bottom by 10 for each decimal place so the numerator becomes a whole number. Then divide both parts by their greatest common divisor to reach the simplest form.
percentage / 100×10 per decimal place, then simplify→ 50/100 → 1/2 25% → 25/100 → 1/4→ 125/1000 → 1/8 0.5% → 5/1000 → 1/200→ 150/100 → 3/2 → 1 1/2
The word percent comes from "per hundred", so 25% literally means 25 out of every 100. Writing 25/100 is simply spelling out what the percent sign already says. Everything after that — removing decimals and simplifying — is tidying the same value into its neatest form.
Simplifying means dividing the top and bottom by their greatest common divisor. For 62.5%, the starting fraction is 625/1000 and the greatest common divisor is 125, so both parts divide down to 5/8. Simplifying never changes the value — 625/1000 and 5/8 are the same amount written two ways.
When the percentage has a decimal point, clear it first. For 12.5%, one decimal place means multiplying the top and bottom by 10: 12.5/100 becomes 125/1000, which simplifies to 1/8. For 62.5% the same step gives 625/1000 = 5/8. The calculator does this exactly, using whole-number arithmetic throughout so no rounding creeps in.
Small percentages give fractions with large denominators: 0.5% = 5/1000 = 1/200, 0.1% = 1/1000 and 0.05% = 1/2000. A common slip is reading 0.5% as one half — it is not. Half of one percent is 1/200, which is two hundred times smaller than 1/2.
A percentage above 100% gives an improper fraction or a whole number: 125% = 5/4 = 1¼, 150% = 3/2 = 1½, 200% = 2 and 250% = 5/2 = 2½. Watch the wording as well — 200% of the original means twice the original amount, and moving from 100% to 200% is a 100% increase, not a 200% increase.
When the simplified fraction is improper, it also has a mixed-number form: 5/4 = 1 1/4, 3/2 = 1 1/2 and 5/2 = 2 1/2. For negative values the minus sign applies to the whole mixed number, so -3/2 is -1 1/2, not -1 plus 1/2. The calculator shows both forms whenever they differ.
A negative percentage converts exactly the same way and keeps its sign: -20% = -20/100 = -1/5, and -150% = -3/2 = -1 1/2. Negative percentages usually describe a loss, a decrease, or a value below a reference point. The denominator is always kept positive so the fraction is written in the standard way.
| Percent | Fraction |
|---|---|
| 0% | 0 |
| 0.5% | 1/200 |
| 1% | 1/100 |
| 5% | 1/20 |
| 10% | 1/10 |
| 12.5% | 1/8 |
| 20% | 1/5 |
| 25% | 1/4 |
| 33.333% | 33333/100000 |
| 40% | 2/5 |
| 50% | 1/2 |
| 62.5% | 5/8 |
| 66.666% | 33333/50000 |
| 75% | 3/4 |
| 80% | 4/5 |
| 87.5% | 7/8 |
| 90% | 9/10 |
| 100% | 1 |
| 125% | 5/4 |
| 150% | 3/2 |
| 200% | 2 |
| 250% | 5/2 |
| Percent | Decimal | Fraction |
|---|---|---|
| 1% | 0.01 | 1/100 |
| 5% | 0.05 | 1/20 |
| 10% | 0.1 | 1/10 |
| 12.5% | 0.125 | 1/8 |
| 20% | 0.2 | 1/5 |
| 25% | 0.25 | 1/4 |
| 33.333…% | 0.333… | 1/3 |
| 50% | 0.5 | 1/2 |
| 62.5% | 0.625 | 5/8 |
| 66.666…% | 0.666… | 2/3 |
| 75% | 0.75 | 3/4 |
| 87.5% | 0.875 | 7/8 |
| 100% | 1 | 1 |
| 125% | 1.25 | 5/4 |
| 150% | 1.5 | 3/2 |
Note the difference between the two tables. A typed value like 33.333% is the exact finite number 33333/100000. Only the endlessly repeating 33.333…% equals exactly 1/3.
These measure different things. If a rate moves from 20% to 25%, that is a rise of 5 percentage points, but a relative rise of 25%, because 5 ÷ 20 = 0.25. Reports often mix the two, so it is worth checking which is meant before converting anything to a fraction.
Percent-to-fraction conversion shows up in school mathematics and exam questions, recipe scaling (25% of a batch is 1/4), discounts and sale pricing, probability and odds, survey and statistics reporting, measurements and tolerances, and any situation where a fraction is easier to picture or to work with by hand than a percentage.
1) 1/10 2) 2/5 3) 3/5 4) 4/5 5) 1/20
1) 3/8 2) 1/400 3) 9/4 = 2 1/4 4) -3/4 5) 1/16
How do you convert a percent to a fraction?
Place the percentage over 100 and simplify. For example, 25% = 25/100 = 1/4. If the percentage contains a decimal, first multiply the top and bottom by 10 for each decimal place.
What is 50% as a fraction?
50% as a fraction is 1/2, because 50/100 simplifies by dividing both parts by 50.
What is 25% as a fraction?
25% as a fraction is 1/4, because 25/100 simplifies by dividing both parts by 25.
What is 75% as a fraction?
75% as a fraction is 3/4, because 75/100 simplifies by dividing both parts by 25.
What is 12.5% as a fraction?
12.5% as a fraction is 1/8. Start with 12.5/100, multiply the top and bottom by 10 to get 125/1000, then divide both by 125.
What is 62.5% as a fraction?
62.5% as a fraction is 5/8. Start with 62.5/100, multiply the top and bottom by 10 to get 625/1000, then divide both by 125.
What is 0.5% as a fraction?
0.5% as a fraction is 1/200. It becomes 5/1000, which simplifies by dividing both parts by 5. It is not 1/2.
What is 100% as a fraction?
100% as a fraction is 100/100, which simplifies to 1. One whole is exactly 100%.
What is 150% as a fraction?
150% as a fraction is 3/2, which is 1 1/2 as a mixed number. It comes from 150/100 divided by 50 on both parts.
How do you convert a decimal percentage to a fraction?
Clear the decimal first by multiplying the top and bottom by 10 for each decimal place, then simplify. So 37.5% becomes 375/1000, which reduces to 3/8.
Can a percentage above 100% be written as a fraction?
Yes. It gives an improper fraction or a whole number. For example, 125% = 5/4 = 1 1/4, and 200% = 2.
How do you convert a negative percentage to a fraction?
Convert as usual and keep the minus sign, with the denominator left positive. So -20% = -20/100 = -1/5, and -150% = -3/2 = -1 1/2.
Is 33.333% exactly equal to 1/3?
No. A typed 33.333% is the exact finite value 33333/100000, which is very slightly less than 1/3. Only the endlessly repeating 33.333…% equals exactly 1/3.
Should an improper fraction also be shown as a mixed number?
It helps, because a mixed number is easier to picture. This calculator shows both, so 5/2 also appears as 2 1/2, and the minus sign on a negative value applies to the whole mixed number.
Is this Percent to Fraction Calculator free?
Yes. It is free with no sign-up, works on any device, and runs in your browser so your entries stay private.