What is 1/3 as a Percent?
1/3 as a percent is 33.33%. To find this, you divide 1 by 3 and then multiply by 100. The answer is a repeating decimal, so we round it. This guide shows you the full method in easy steps.
Knowing 1/3 as a percent helps with tips, test scores, and splitting things three ways. Let's break it down clearly.
The Quick Answer
Here is 1/3 shown as a fraction, a decimal, and a percent.
| Fraction | Decimal | Percent |
|---|---|---|
| 1/3 | 0.3333... | 33.33% |
So 1/3 equals about 33.33 percent. That is one third of a whole, or one part out of three.
How to Convert 1/3 to a Percent (Step by Step)
You need only two steps to change 1/3 into a percent. Here is how it works.
- Divide 1 by 3. This gives you 0.3333, with the 3 repeating forever.
- Multiply by 100 and add the percent sign. Multiply 0.3333 by 100 to get 33.33%.
So what percent is 1/3? The answer is 33.33% when rounded to two decimal places. The 3 repeats, but two places works for most needs.
Why This Works
The word "percent" means "out of 100." When you turn a fraction into a percent, you find how many parts out of 100 it equals.
In the fraction 1/3, the top number (1) is the numerator and the bottom number (3) is the denominator. Dividing them gives a decimal. Since 1 does not divide evenly by 3, you get a repeating decimal (0.3333...). Multiplying by 100 makes it a percent. You can review these basics on Khan Academy, a free and trusted math source.
Try It Yourself
Want to convert other fractions fast? Use our free Percentage Calculator for instant results. You can also try our main Scientific Calculator for any math problem.
Frequently Asked Questions
Is 1/3 equal to 33.33%?
Yes. Divide 1 by 3 to get 0.3333, then multiply by 100. This gives 33.33% when rounded to two decimal places.
What is 1/3 as a decimal?
1/3 as a decimal is 0.3333, with the 3 repeating. It is often written as 0.33 for short. This decimal equals 33.33%.
Why is 1/3 a repeating decimal?
Because 3 does not divide into 1 evenly. The division never ends, so the digit 3 repeats. We round it to keep the answer simple.
Is 1/3 the same as 33%?
Almost, but not exact. 1/3 is 33.33%, which is slightly more than 33%. The extra repeating digits make the small difference.
Final Answer
1/3 as a percent is 33.33%. Just divide 1 by 3 to get 0.3333, then multiply by 100. With this simple method, you can turn any fraction into a percent in seconds.