Simplify fractions calculator
Simplify fractions with this calculator. Enter the numerator and denominator and instantly get the fully simplified fraction, including explanation.
What does simplifying a fraction mean?
Simplifying a fraction means dividing the numerator and denominator by their greatest common divisor (GCD) so that the fraction is written as small as possible without changing the value.
Example
The fraction 12/18 can be simplified:
GCD of 12 and 18 = 6
12 ÷ 6 = 2
18 ÷ 6 = 3
Simplified fraction = 2/3
How does this calculator work?
Enter the numerator and denominator. The calculator automatically calculates the greatest common divisor and divides both numbers by this value. The result is the fully simplified fraction.
When do you simplify fractions?
- With math problems at school
- When adding or subtracting fractions
- When comparing fractions
- When converting to decimals
Frequently Asked Questions
What is the greatest common divisor (GCD)?
The GCD is the largest number by which both the numerator and the denominator are divisible.
What if the fraction is already simplified?
Then the fraction remains the same, because the GCD is equal to 1.
Can the denominator be 0?
No, a fraction with a denominator of 0 is not mathematically allowed.