Fraction to Percent Calculator
Convert fractions to percentages with step-by-step solutions
How to Convert Fractions to Percents
Converting fractions to percentages involves two steps: first converting the fraction to a decimal, then converting that decimal to a percentage.
Two-Step Method
- Divide the numerator by the denominator to get a decimal
- Multiply the decimal by 100 and add the % symbol
Example: Converting 3/4
- Divide: 3 ÷ 4 = 0.75
- Multiply by 100: 0.75 × 100 = 75
- Add percent symbol: 75%
Alternative Method: Multiply by 100 First
You can also multiply the fraction by 100 directly:
3/4 × 100 = 300/4 = 75%
Common Fraction to Percent Conversions
Frequently Asked Questions
How do you convert a fraction to a percent?
Divide the numerator by the denominator to get a decimal, then multiply by 100 and add the percent symbol. For example, 1/4 = 0.25 = 25%.
What is 1/2 as a percentage?
1/2 equals 50%. When you divide 1 by 2, you get 0.5, and 0.5 × 100 = 50%.
Can improper fractions be converted to percentages?
Yes! Improper fractions (numerator larger than denominator) convert to percentages greater than 100%. For example, 5/4 = 1.25 = 125%.
How do you handle repeating decimals when converting to percent?
Repeating decimals become repeating percentages. For example, 1/3 = 0.333... = 33.33...% or approximately 33.33%. You can round to a desired number of decimal places.
What's easier: converting fraction to decimal first or multiplying by 100 first?
Both methods work! Converting to decimal first is often easier mentally, but multiplying by 100 first can be simpler with certain fractions. Use whichever method you find more comfortable.
Why do fractions like 1/3 result in repeating decimals?
When a fraction's denominator (in simplest form) has prime factors other than 2 or 5, it produces a repeating decimal. This is because our decimal system is base 10 (2 × 5).