Simplifying Fractions Calculator
Simplify fractions with this calculator. Enter the numerator and denominator to instantly get the fully simplified fraction, including an explanation.
What does simplifying a fraction mean?
Simplifying a fraction means dividing the numerator and denominator by their greatest common divisor (GCD), so the fraction is written in its simplest form without changing its 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 finds the greatest common divisor and divides both numbers by this value. The result is the fully simplified fraction.
When should you simplify fractions?
- For 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 that divides both the numerator and denominator evenly.
What if the fraction is already simplified?
Then the fraction remains the same because the GCD is 1.
Can the denominator be 0?
No, a fraction with a denominator of 0 is not mathematically valid.