Ratio Simplifier
Enter any two values to reduce the ratio to its lowest whole-number terms with step-by-step GCD factorizations.
Simplified Ratio
3 : 4
GCD 6
Percentages 42.9% : 57.1%
Decimal 0.75
Visual Proportions 3 : 4
3
4
Step-by-Step Derivation:
- Find the Greatest Common Divisor (GCD) of 18 and 24: GCD = 6.
- Divide both terms by 6: 18 ÷ 6 = 3, and 24 ÷ 6 = 4.
- The simplified ratio is 3 : 4.
How to Simplify Any Ratio Step-by-Step
A simplified ratio represents the relationship between two quantities using the smallest possible whole numbers. It is mathematically equivalent to simplifying a fraction.
The Simplification Method:
- Eliminate decimals (if present): If your numbers contain decimals (like 1.5 : 2.5), multiply both terms by 10, 100, or 1000 to convert them to integers (e.g. 15 : 25).
- Find the GCD: Calculate the Greatest Common Divisor (the highest number that divides evenly into both terms).
- Divide both terms: Divide both numbers by the GCD to find the lowest integer representation.
Notice an issue or calculation discrepancy?
We strive for 100% mathematical precision. If you encounter an unexpected calculation result, broken input, or unclear explanation on Ratio Simplifier, please let our editorial team know.