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Simplify any 2-term ratio into lowest irreducible terms using GCD, or solve for missing variables in proportions (A:B = C:D).
The ratio 4 : 6 simplifies to 2 : 3 by dividing both terms by their GCD (2).
0.6667
40%
60%
Simplified Ratio = (4 ÷ 2) : (6 ÷ 2) = 2 : 3
4 : 6
6 : 9
8 : 12
10 : 15
20 : 30
Formal mathematical proof and equivalence report.
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Ratio & Proportion Calculator. Simplify ratios to lowest terms, solve missing proportion values (A:B = C:D), and scale comparative recipe and model dimensions. ZechKit provides this tool completely free and online, optimized for instant, accurate computations directly inside your web browser.
A Ratio Calculator simplifies comparative proportions, scales quantities, and solves for missing variables in proportional equations (A:B = C:D).
Cross-Multiplication Rule: In any proportion A / B = C / D, the cross-product rule states that A × D = B × C. If one value is unknown, solve using D = (B × C) / A.
Simplification to Lowest Terms: Ratios are reduced to simplest integers by dividing both antecedents and consequents by their Greatest Common Divisor (GCD).
Practical Uses: Essential for scaling cooking recipes, mixing chemical solutions, drafting architectural blueprints, and formatting screen aspect ratios (16:9, 4:3).
