Simplify Ratio
Result
About Ratio Calculator
Free online ratio calculator. Simplify ratios (e.g. 8:12β2:3), find missing values in proportions (a:b=c:x), convert ratios to percentages. Supports fractional, decimal, and integer ratios. Perfect for recipe scaling, map scales, model scaling, engineering, data analysis, investment allocation, and education. Client-side only, no data upload.
FAQ
What calculation modes does the Ratio Calculator support?
Three modes: 1) Simplify Ratio β reduce a ratio to its simplest form (e.g. 8:12β2:3); 2) Find Missing Value β given a:b=c:x, solve for x; 3) Ratio to Percentage β convert a part-to-whole ratio to a percentage.
How does ratio simplification work?
Ratio simplification finds the Greatest Common Divisor (GCD) of both numbers, then divides both by the GCD. For example, 8 and 12 have a GCD of 4, so 8:12 simplifies to 2:3.
How do I find a missing value in a proportion?
Using the proportion property: if a:b=c:x, then x=cΓbΓ·a. For example, 2:3=6:x gives x=6Γ3Γ·2=9. This is based on cross-multiplication: aΓx=bΓc.
Does it support fractions and decimals?
Yes. The tool handles integer, decimal, and fractional ratio inputs. For fractions, convert to decimal first. Results are displayed with up to 4 decimal places.
What are common use cases for ratio calculations?
Common applications include: recipe scaling, map scale conversion, model scaling, engineering proportion allocation, investment share ratios, chemical mixing ratios, and educational demonstrations.