Ratio Calculator - Simplify, Solve & Scale Ratios Ratio Calculator
Use our free ratio calculator to simplify ratios, solve proportions, or scale ratios to a target value instantly.
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Your Results
Simplified Ratio 3 : 2
Working GCD(12, 8) = 4 → 12/4 : 8/4 = 3 : 2
Original Ratio 12 : 8
Simplified 3 : 2
As Fraction 3/2
As Decimal 1.5
Equivalent Ratios
| Multiplier | Equivalent Ratio |
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Ratio Calculator - Guide
What is a Ratio?
A ratio is a comparison between two or more quantities that shows their relative sizes. Ratios are written as A:B and can be simplified just like fractions. They are used extensively in cooking, construction, finance, map scales, and mixing proportions.
Ratio Formulas
1. Simplify a Ratio
Divide both parts by their GCD. E.g., 12:8 → GCD=4 → 3:2
2. Solve a Proportion (A:B = C:?)
? = (B × C) ÷ A
3. Scale a Ratio
Multiply both parts by the scale factor. E.g., 3:5 × 4 = 12:20
Examples
- Simplify 15:25: GCD(15,25) = 5 → 3:5
- Solve 2:3 = 10:? ? = (3 × 10) ÷ 2 = 15
- Scale 4:7 by 3: 4×3 : 7×3 = 12:21
- Ratio to fraction: 3:4 = 3/4 = 0.75
Common Uses of Ratios
- Cooking: Recipe ingredient proportions (e.g., 2:1 water to rice).
- Maps & Models: Scale ratios like 1:50000 for maps.
- Finance: Debt-to-equity ratios, price-to-earnings ratios.
- Mixing: Paint or chemical mixing proportions.
- Design: Aspect ratios for screens (e.g., 16:9).
How This Calculator Works
- Choose a mode: “Simplify”, “Solve A:B = C:?”, or “Scale Ratio”.
- Enter values: Type your numbers into the input fields.
- Instant result: The simplified ratio, formula, and equivalent ratios update in real time.
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