Work with ratios: simplify to lowest terms, scale to target values, solve missing proportion values, and compare two ratios. See step-by-step solutions.
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Calculate with ratios: simplify to lowest terms, scale to specific values, solve proportions with missing values, and compare ratios. Essential for cooking, construction, finance, and everyday math.
A ratio compares two quantities, showing how much of one thing there is relative to another. Written as a:b or a/b, ratios can be simplified like fractions. For example, 4:6 simplifies to 2:3. Ratios are used for mixing recipes, scaling drawings, and calculating proportions.
Ratio Formula
Scale recipes up or down while maintaining proportions.
Mix concrete, mortar, or paint in correct proportions.
Calculate financial ratios like debt-to-income.
Scale maps and technical drawings accurately.
Simplify ratios to lowest terms
Scale ratios to any target value
Solve proportions with unknown values
Compare two ratios
See step-by-step calculation process
Find the greatest common divisor (GCD) of both numbers and divide both by it. For example, 12:18 has GCD of 6, so 12/6 : 18/6 = 2:3.
In a proportion a:b = c:x, cross multiply to get a×x = b×c, then x = (b×c)/a. For example, if 2:3 = 4:x, then x = (3×4)/2 = 6.
Yes! Ratios can have decimals. To simplify, multiply both parts by 10 (or 100) to get whole numbers, then find the GCD. For example, 0.5:1.5 becomes 5:15 = 1:3.