SumHexa — Calculate anything.

Ratios and proportions

Simplify a positive integer ratio and find a proportional quantity.

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Enter two strictly positive integer parts. The resulting ratio is reduced. Example: 1920:1080 = 16:9. For signed or zero fractions, use the fraction calculator.

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Method and assumptions

Method version 1.0.0 · Updated

Simplify a ratio

Formula: A:B → (A ÷ GCD):(B ÷ GCD)

Enter two strictly positive integer parts. The resulting ratio is reduced. Example: 1920:1080 = 16:9. For signed or zero fractions, use the fraction calculator.

a
First part (A)
b
Second part (B)
Find a proportional quantity

Formula: D = C × B / A

A:B = C:D. The new quantity C can be decimal or zero. Keep the same unit for A and C, and for B and D. Example: ratio 16:9 and C = 32 → D = 18. This is a direct proportion, without rounding to a whole quantity.

a
First part (A)
b
Second part (B)
c
New first quantity (C)

Parts A and B are strictly positive integers, limited to 9,007,199,254,740,991. Exact simplification; proportional quantity displayed with at most 12 significant digits.