How this calculator works
An equivalent ratio multiplies every term by the same non-zero number. The table gives five examples based on the original input. Three terms are useful for mixtures with three ingredients: scaling only two of them would change the recipe. Integer reduction divides by the common divisor of every term. Normalising divides by a selected non-zero term. Decimal scaling displays up to twelve significant digits; retain the original inputs when exact fractions matter.
Formula
A:B:C = kA:kB:kC for k ≠ 0. To make B equal one, use k = 1/B. To set A to T, use k = T/A. Integer reduction uses k = 1/gcd(A,B,C).
Worked example
A mixture ratio of 12:18:30 reduces to 2:3:5 because all three terms share a divisor of 6. Doubling the reduced ratio gives 4:6:10. A two-part ratio 2:3 becomes 10:15 when its first term is set to 10.
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Frequently asked questions
Can I scale a three-ingredient mixture?
Yes. Choose three terms and enter each ingredient in a consistent unit. Each term receives the same multiplier.
Why reject a zero multiplier?
It would turn every term into zero and lose the original proportions. A single zero input term is allowed when another term is non-zero.
Can negative values form a ratio?
Signed ratios can describe algebraic relationships. Physical ingredient quantities should be non-negative. Reduction preserves the original signs.