Simplify ratios to their lowest terms, solve proportions, and calculate missing scale factors for recipes, scale models, blueprints, or math homework.
Ratios compare two quantities to show their relationship. Our free online Ratio Calculator helps you simplify ratios to their lowest terms or solve proportions when one of the values is unknown (e.g., A:B = C:D, solving for D). This is useful for scaling recipes, mixing materials, or analyzing financial statements.
To simplify a ratio A:B, the calculator divides both numbers by their Greatest Common Divisor (GCD). To solve a proportion like A/B = C/D for an unknown value, it uses cross-multiplication, where A × D = B × C. The tool displays results instantly with clear scaling calculations.
To simplify a ratio, divide both terms of the ratio by their Greatest Common Divisor (GCD). For example, the ratio 15:20 simplifies to 3:4 by dividing both numbers by 5.
A proportion is an equation stating that two ratios are equal, such as A:B = C:D (or A/B = C/D). If three values are known, the fourth can be calculated easily.
Find the ratio between the new yield and the original yield (e.g., 2x or 0.5x), and multiply each ingredient quantity by that ratio to maintain the correct proportions.
The golden ratio is a special mathematical ratio of approximately 1:1.618 (often represented by the Greek letter Phi). It is widely observed in nature, art, and architecture, and is considered visually pleasing.