Percentage to Fraction Calculator
Convert any percentage to a simplified fraction instantly. Enter a percentage below and get the fraction in its lowest terms, along with the decimal equivalent and clear step-by-step workings.
How It Works
Every percentage is already a fraction with a denominator of 100. To convert, you write the percentage as a fraction over 100 and then reduce it to its simplest form by dividing both the numerator and denominator by their greatest common divisor (GCD).
The Formula
Fraction = Percentage / 100 (then simplify)
What is the Greatest Common Divisor?
The GCD is the largest number that divides evenly into both the numerator and denominator. For example, to simplify 75/100, the GCD of 75 and 100 is 25. Dividing both by 25 gives 3/4, which is the fraction in its lowest terms.
Worked Examples
Example 1: 75% to a fraction
75/100. GCD of 75 and 100 is 25. 75 / 25 = 3, 100 / 25 = 4. Result: 3/4
Example 2: 50% to a fraction
50/100. GCD is 50. 50 / 50 = 1, 100 / 50 = 2. Result: 1/2
Example 3: 20% to a fraction
20/100. GCD is 20. 20 / 20 = 1, 100 / 20 = 5. Result: 1/5
Example 4: 37.5% to a fraction
37.5/100 = 375/1000. GCD is 125. 375 / 125 = 3, 1000 / 125 = 8. Result: 3/8
Example 5: 40% to a fraction
40/100. GCD is 20. 40 / 20 = 2, 100 / 20 = 5. Result: 2/5
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