1/3 as a Percent
The fraction 1/3 converted to a percentage, with a step-by-step solution.
How to Convert 1/3 to a Percentage
- 1
Convert the fraction to a decimal by dividing the numerator by the denominator.
1 ÷ 3 = 0.333333
- 2
Multiply the decimal by 100 to express it as a percentage.
0.333333 × 100 = 33.333333%
Why 1/3 = 33.333333%
A percentage is just a fraction out of 100. Dividing 1 by 3 gives the decimal 0.333333, and multiplying any decimal by 100 shifts it into percent form. So 1/3 = 0.333333 = 33.333333%.
1/3 as a Percent, Rounded
| Rounded to | Value |
|---|---|
| Nearest whole percent | 33% |
| Nearest tenth of a percent | 33.3% |
| Nearest hundredth of a percent | 33.33% |
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Step-by-Step Solution
- 1
Divide the numerator by the denominator.
1 ÷ 3 = 0.333333
- 2
Multiply by 100 to get the percentage.
0.333333 × 100 = 33.333333%
Frequently Asked Questions
What is 1/3 as a percent?
1/3 as a percent is 33.333333%. You convert it by dividing 1 by 3 to get 0.333333, then multiplying by 100.
How do you convert 1/3 to a percentage?
First divide the numerator by the denominator: 1 ÷ 3 = 0.333333. Then multiply by 100 and add a percent sign: 0.333333 × 100 = 33.333333%.
What is 1/3 as a percentage rounded to the nearest tenth?
Rounded to the nearest tenth of a percent, 1/3 ≈ 33.3%. To the nearest whole percent it is 33%.
What is 1/3 as a decimal?
1/3 as a decimal is 0.333333. Multiplying that decimal by 100 gives the percentage, 33.333333%.