12% written as a fraction is 3/25. You get there by placing 12 over 100 and then simplifying.
The Conversion Steps
Every percentage is already a fraction in disguise. The word “percent” literally means “per hundred,” so 12% means 12 parts out of 100. That gives you the starting fraction: 12/100.
To simplify, find the largest number that divides evenly into both 12 and 100. That number (called the greatest common divisor) is 4. Divide the top and bottom by 4:
- 12 ÷ 4 = 3
- 100 ÷ 4 = 25
The simplified fraction is 3/25. You can’t reduce it any further because 3 and 25 share no common factor other than 1.
Checking Your Answer
A quick way to verify: divide 3 by 25 on a calculator. You get 0.12, which is the decimal form of 12%. Multiply 0.12 by 100 and you’re back to 12%. All three representations, 12%, 0.12, and 3/25, are different ways of expressing the same value.
Don’t Confuse 12% With 12.5%
A common mix-up is between 12% and 12.5%. They look similar but simplify to very different fractions. While 12% equals 3/25, 12.5% equals 1/8. The fraction 1/8 is a familiar benchmark (think of cutting a pizza into eight slices), so people sometimes assume 12% is 1/8. It isn’t. If you need 1/8, the percentage you’re looking for is 12.5%, not 12%.
Using This Method for Any Percentage
The same two-step process works for every whole-number percentage. Write the number over 100, then simplify. For instance, 25% becomes 25/100, which simplifies to 1/4. And 60% becomes 60/100, which simplifies to 3/5.
If the percentage includes a decimal, like 12.5%, you have one extra step: multiply the top and bottom by whatever power of 10 removes the decimal first. So 12.5/100 becomes 125/1000, which then simplifies to 1/8. After that, the process is identical.