Fraction Simplifier
Reduce any fraction to lowest terms using the greatest common divisor, with mixed-number and decimal forms.
Your inputs
Results
Simplest form
2/3
- Greatest common divisor used
- 42
- Mixed number
- 2/3
- Decimal value
- 0.666666666667
✓Exact calculation — rounded only for display
What this calculator does
Simplifying a fraction divides the numerator and denominator by their greatest common divisor.
Formula and method
n/d = (n ÷ gcd(n, d)) / (d ÷ gcd(n, d))
Worked example
Calculated by this tool with its default inputs:
Inputs
- Numerator: 84
- Denominator: 126
Results
- Simplest form: 2/3
- Greatest common divisor used: 42
- Mixed number: 2/3
- Decimal value: 0.666666666667
How to read the results
A fraction is in lowest terms when the GCD of numerator and denominator is 1.
Assumptions and limitations
- Works with very large whole numbers.
Questions
What happens with a negative denominator?
The sign moves to the numerator: 6/−8 = −3/4.
Methodology and verification
- Result type
- Exact mathematical calculation (rounded only for display)
- Formula version
- 1.0
- Automated verification
- 4 reference and validation test cases, checked against independently computed values. The site cannot be built if any of them fail.
- Editorial review
- Awaiting human editorial review. The explanation was drafted with AI assistance; the formula and examples are verified by the automated tests above.
Privacy
Everything you enter is calculated in this browser and is not sent to Numerith or anyone else. Inputs are added to a share link only if you choose to include them. Privacy policy