Fraction to Percentage Calculator
Enter a numerator and denominator (plus an optional whole number for mixed fractions) to see the fraction as a percentage and a decimal.
| Percentage | |
| Decimal | |
| Simplified fraction | |
| Working |
How to convert a fraction to a percentage
Divide the numerator (top number) by the denominator (bottom number) to get a decimal, then multiply by 100 to get the percentage: percentage = (numerator ÷ denominator) × 100. For example, 3/8 is 3 ÷ 8 = 0.375, and 0.375 × 100 = 37.5%.
For a mixed number, first turn it into an improper fraction. To convert 2 1/2, multiply the whole number by the denominator and add the numerator: (2 × 2 + 1)/2 = 5/2. Then 5 ÷ 2 = 2.5, and 2.5 × 100 = 250%.
Some fractions produce repeating decimals. 1/3 is 0.333333… which is about 33.3333%. This calculator rounds the percentage to 4 decimal places and the decimal to 6 decimal places, and also shows the fraction in its simplest form.
Frequently asked questions
How do I convert a fraction to a percentage by hand?
Divide the top number by the bottom number, then multiply the result by 100 and add a percent sign. For 7/20, 7 ÷ 20 = 0.35 and 0.35 × 100 = 35%.
Can a fraction be more than 100%?
Yes. Any fraction whose numerator is larger than its denominator is greater than 1, so it is more than 100%. For example, 5/4 = 1.25 = 125%.
Why does my answer have so many decimal places?
Fractions such as 1/3, 2/7, or 5/6 have decimals that repeat forever, so the percentage cannot be written exactly. The calculator rounds the percentage to 4 decimal places, so 2/3 shows as 66.6667%.