Fraction to Percent
Convert fractions to percentages. Learn how to change any fraction into a percent.
Convert any fraction to a percentage. Divide the numerator by the denominator, then multiply by 100 to get the percent value.
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Try:
How to Use
- Enter the numerator (top number)
- Enter the denominator (bottom number)
- Click "Convert to Percent"
- View the percentage and step-by-step solution
What is Fraction to Percent?
Converting a fraction to a percentage means expressing the fraction as a number out of 100. For example, 1/4 equals 25% because 1 divided by 4 is 0.25, and 0.25 times 100 is 25%.
Formula
Formula:
Percentage = (Numerator ÷ Denominator) × 100
Example: 3/4 = (3 ÷ 4) × 100 = 0.75 × 100 = 75%
Examples
- 1/2 = 50%
- 1/4 = 25%
- 3/4 = 75%
- 1/3 ≈ 33.33%
- 2/5 = 40%
FAQ
Why do some fractions give repeating decimals?
When the denominator has prime factors other than 2 or 5, the decimal representation will be repeating. For example, 1/3 = 33.333...% because 3 is not a factor of 10.
Can a percentage be greater than 100%?
Yes! If the numerator is larger than the denominator (improper fraction), the percentage will be greater than 100%. For example, 5/4 = 125%.
How do I convert a mixed number to percent?
First convert the mixed number to an improper fraction, then divide and multiply by 100. For example, 1½ = 3/2 = 1.5 = 150%.