Ratio
Calculator
Simplify ratios, find missing values, scale ratios, and check proportions. Supports 2-part ratios with step-by-step solutions and visual ratio bars.
2:3
SIMPLIFIED
0.167
SCALE FACTOR
40%
A AS % OF TOTAL
Simplify & Analyze Ratio A : B
A
B
Simplified Ratio
2
Part A
3
Part B
Visual Ratio
12 : 18
Original Ratio
2 : 3
Simplified
6
GCD
0.66667
Decimal A/B
40%
A as % of Total
60%
B as % of Total
📝 Step-by-Step Solution
- 1Write the ratio: 12 : 18
- 2Find the GCD: GCD(12, 18) = 6
- 3Divide both terms by 6: 12 ÷ 6 = 2, 18 ÷ 6 = 3
- 4Simplified ratio: 2 : 3
📊 Common Ratios Reference — Click to Load
Understanding Ratios and Proportions
A ratio compares two (or more) quantities to show their relative size — written A:B, it tells you how large A is compared to B, without either quantity needing to represent a slice of some larger whole the way a fraction does. A proportion is simply a statement that two ratios are equal, like A:B = C:D. Ratios and proportions turn up everywhere: scaling a recipe up or down, reading a map’s distance scale, matching a screen’s aspect ratio, mixing concrete, or comparing financial figures like price-to-earnings.
Key Ratio Formulas
Simplify: A:B → divide both terms by GCD(A, B)Cross-multiply a proportion: A/B = C/D → A×D = B×CSolve for an unknown term D: D = (B × C) / AScale factor: k = New A / Original A → New B = k × Original BA as % of total: A / (A+B) × 100 · Decimal form: A / BReal-world ratio examples: screen resolutions (16:9 HD, 4:3 classic), map scales (1:50,000), cooking recipes (2 cups flour : 1 cup sugar), concrete mix ratios (1:2:3 cement:sand:aggregate), financial ratios like P/E and debt-to-equity, fuel mixture ratios, and gear ratios in engines and bicycles.
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