How to use the Fraction Simplifier
Enter the numerator and the denominator. The tool divides both by their greatest common divisor and shows the fraction in lowest terms.
Worked example
Take 24/36. The largest number that divides both 24 and 36 is 12, so divide top and bottom by 12 to get 2/3. You could also simplify in steps, halving to 12/18 and then dividing by 6, but finding the greatest common divisor gets you there in one move.
How to tell it is fully simplified
A fraction is in lowest terms when the top and bottom share no factor other than 1. If both are even, you can always divide by 2 again. If the digits of both add up to a multiple of 3, both divide by 3. When no shared factor is left, you are done.
The formula
Simplified fraction = (numerator ÷ GCD) / (denominator ÷ GCD)
Examples
- 12/18
Fraction: 2/3
- 45/60
Fraction: 3/4
- 17/51
Fraction: 1/3
Limitations and assumptions
Works with whole numbers. The denominator cannot be zero.
Frequently asked questions
How do I simplify a fraction?
Divide the numerator and denominator by their greatest common divisor.
How do I know it is fully simplified?
When the two numbers share no common factor other than 1.
Can the denominator be zero?
No. Division by zero is undefined.
What about ratios?
Use the ratio simplifier, which works the same way.