Ratio & proportion tools
Common Ratios
Any ratio can be analysed directly in the workbench, so there is no page per numeric pair. This hub points you at the right tool — and at the two ratios whose meaning, not arithmetic, needs explaining.
Calculate
- Ratio workbenchType any ratio: simplest form, shares, percentages and scaling.
- SimplifyIntegers, decimals and fractions reduced exactly.
- Equivalent ratiosComplete 2:3 = 10:? and see the factor.
- ProportionsSolve for the missing fourth value.
- Split a totalDivide any amount, including money, in a ratio.
- ConversionsRatio ↔ percentage, both interpretations shown.
Apply
Understand
- What is a ratio?Parts, order, part-to-whole and checking work.
- How to simplify ratiosWhy dividing by a common factor is valid.
- Ratio vs proportionWhich of the two your problem actually is.
- How to scale a ratioOne factor k, found three different ways.
- How mixing ratios workParts, batch scaling, volume vs mass.
- How to check a ratio answerFive checks that prove or disprove a result.
Reference exceptions
Two ratios keep a page of their own because each carries an interpretation problem that a calculator result cannot resolve on its own.