Ratio Simplifier
Simplify 2-part and 3-part ratios, handle decimals, generate equivalent ratios, and scale ratios to totals with full GCD-based steps.
Simplify and scale ratios with clear GCD-based steps for 2-part and 3-part inputs.
Example/result panel
Example: 6 : 9 simplifies to 2 : 3 using GCD 3.
How to Simplify and Scale Ratios
Simplifying ratios
Divide every ratio term by the greatest common divisor to reduce it to lowest terms while preserving the relationship.
Decimal ratios
Convert decimals to whole numbers by multiplying all terms by the same power of 10, then simplify with GCD.
3-part ratios
For a:b:c, compute the common divisor across all three terms, not just pairs.
Equivalent ratios and scaling
Multiply every term by the same number to create equivalent ratios. To scale to a total, distribute the total by each term's share of the simplified sum.
Ratio vs fraction
A fraction compares one part to a whole. A ratio compares parts to each other, or part to whole depending on context.
Examples and FAQ
- 6:9 simplifies to 2:3.
- 1.5:2.25 becomes 150:225, then simplifies to 2:3.
- 4:6:10 simplifies to 2:3:5.
Related tools: fractions calculator, percentage calculator, and sequence calculator.