Formula
scale decimals → integers · divide both by gcd
Move both terms to a shared integer scale, compute their absolute GCD, divide, and normalize the sign to the first term.
Ratio & proportion
● Runs locallyRatio Simplifier
Reduce a two-part ratio even when the inputs contain decimals or a negative sign. CalcFlow uses controlled decimal scaling and an exact BigInt greatest common divisor, then explains the scale and division.
Example values
Simplified ratio
Assumptions
- At most nine decimal places are rationalized.
- 0:0 is undefined; a ratio with one zero remains valid.
Both terms should represent compatible quantities. The simplified ratio itself is unitless.
Formula review
Formula v1.0.0
Reviewed 2026-08-03
CalcFlow engineering review
Ratio Simplifier: Worked example
1.5:2.25 scales to 150:225. Their GCD is 75, so division gives the reduced ratio 2:3.
Frequently asked questions
Can a ratio contain decimals?
Yes. CalcFlow moves both decimals to a common integer scale before finding the GCD.
Can a ratio be negative?
Yes. The sign is normalized to the first term so equivalent forms have one consistent display.
Why is 0:0 invalid?
Both terms have no defined relative scale, and every multiplier would produce the same pair.