Ratio Calculator
Simplify ratios (A:B) to lowest terms or solve ratio proportions (A:B = C:X).
Simplified ratio
2 : 3
0.6667decimal value•
40.0%share A•
60.0%share B
Simplify ratios to simplest integer terms or solve ratio proportions (A:B = C:X).
Formulas & Method
Ratio Simplification
- Simplified Ratio:
(A ÷ GCD) : (B ÷ GCD)
Proportion Solver (A:B = C:X)
- Solving X:
X = (B × C) ÷ A
Worked Example
- Simplification:
12 : 18 → 2 : 3(Decimal:0.6667, Share:40% / 60%) - Proportion:
4 : 5 = 12 : X → X = (5 × 12) ÷ 4 = 15
Frequently Asked Questions
How do you simplify a ratio?+
Divide both terms of the ratio A:B by their greatest common divisor (GCD).
How do you solve a ratio proportion A:B = C:X?+
Cross-multiply and solve for X: X = (B × C) / A.
Can ratios handle decimal inputs?+
Yes. The calculator converts decimal ratios to equivalent integer ratios before simplifying.
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