Ratio Calculator
Solve proportions, simplify ratios, and scale values with instant step-by-step mathematical explanations.
Proportion Solver
A : B = C : D — Enter any 3 values
Results
Visual ratio breakdown
Solved Proportion
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Simplified
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Percentages
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Decimal
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Fraction
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Part A: —
Part B: —
Ratio Simplifier
Reduce any ratio to its simplest form
Simplified Result
Reduced to lowest terms
Simplified Ratio
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GCD Used
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Percentages
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Decimal Ratio
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Fraction
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Part A: —
Part B: —
Ratio Scaler
Multiply a ratio by a scale factor
Scaled Result
Ratio after scaling
Scaled Ratio
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Original
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Factor
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Percentages
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Simplified
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How to Solve a Proportion
A proportion states that two ratios are equal: A : B = C : D (or A / B = C / D).
- Enter any three known numbers in the fields above.
- Leave the unknown position blank.
- Click Solve Proportion to apply cross-multiplication:
A × D = B × C. - View the exact step-by-step algebraic breakdown below the result.
How to Simplify a Ratio
Simplifying reduces both numbers to their lowest whole-number terms without altering their mathematical relationship.
- Enter the two terms of your ratio (e.g. 24 and 36).
- Our engine determines the Greatest Common Divisor (GCD) using Euclid's algorithm.
- Both terms are divided by the GCD to yield the reduced ratio (e.g. 2 : 3).
- View the percentage split, decimal equivalent, and fraction representation.
Related Guides & Tools
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 Calculator, please let our editorial team know.