Ratio Calculator
What is a Ratio Calculator?
Simplify mathematical ratios to lowest terms (e.g. `12:18` -> `2:3`) and solve proportion equations (`a:b = c:x`) to find missing values instantly.
Why Use This Tool?
- Graphic Design & Scaling: Scale images, canvas dimensions, or video resolutions while preserving original aspect ratios.
- Cooking & Recipe Scaling: Adjust recipe ingredient proportions for larger or smaller batch sizes.
- Math & Chemistry: Solve proportional equations in chemistry and physics.
How to Use
- Select Mode: "Simplify Ratio" or "Solve Proportion (a:b = c:x)".
- Enter known ratio values.
- View simplified ratio fraction or solved missing variable $x$.
Real Working Example
Input:
Proportion: 4 : 3 = 1920 : X (Find X)
Output Result:
Solved Value X = 1440 | Simplified Ratio: 4:3 | Scale Factor: 480x
Important Technical Details & Formulas
- Greatest Common Divisor (GCD) Simplification: Uses Euclidean algorithm to divide ratio terms by GCD.
- Cross-Multiplication Solver: Solves `a/b = c/x` via `x = (b * c) / a`.
- Local Memory Execution: Zero network overhead.
Related Mathematics & Financial Tools
- Aspect Ratio Calculator: Calculate screen aspect ratios.
- Fraction Calculator: Simplify and calculate fractions.
- Percentage Calculator: Calculate percentage values.
Frequently Asked Questions
How do you simplify a ratio?
Divide both terms of the ratio by their Greatest Common Divisor (GCD) (e.g. 12:18 / 6 = 2:3).
How do you solve a proportion a:b = c:x?
Cross-multiply: x = (b * c) / a.
Is it free?
Yes, 100% free.
Can I scale recipes using this ratio solver?
Yes, enter original ingredient ratios to scale recipe batch sizes proportionally.
Is my data private?
Yes, all calculations run locally in your browser memory.