Ratio simplifier & proportion

Ratio simplifier & proportion: use operation, first ratio · first term, first ratio · second term. Review the formula, worked example and calculation steps.

Inputs

Use the units shown
RESULT
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Enter your values and select Calculate.

Formula & explanation
a:b = c:d ⇒ d = bc/a; simplify using the greatest common divisor.

Variables & units

Operation
Select an option
First ratio · first term
Numeric value · minimum -1000000000, maximum 1000000000
First ratio · second term
Numeric value · minimum -1000000000, maximum 1000000000
Second ratio · first term
Numeric value · minimum -1000000000, maximum 1000000000

Worked example

2:3 = 8:12. The ratio 12:18 simplifies to 2:3.

Assumptions

Simplification uses integer ratio terms. A ratio with a zero second term is not supported.

Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.

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