Ratio Calculator
Calculate and simplify ratios
The Ratio Calculator is a versatile online tool for solving proportions, simplifying ratios, and scaling values. From calculating screen aspect ratios and adjusting recipe ingredients to converting map scales and architectural blueprints, this tool handles A:B = C:D proportional equations by automatically finding the unknown value. It is widely used for math homework, design projects, cooking, and professional applications alike.
๐ How to Use
- Select the calculation type
- Enter the known values
- Click the Calculate button
- Unknown value is calculated
โจ Features
- โSolve for unknown in proportions
- โSimplify ratios
- โScale ratios
- โA:B = C:D format support
- โReal-time calculation
๐ก Use Cases
- โขDesigner: Calculate exact image dimensions for common aspect ratios like 16:9, 4:3, and 21:9.
- โขChef: Scale recipe ingredients proportionally when adjusting serving sizes.
- โขArchitect: Convert blueprint scale ratios to actual construction dimensions.
- โขStudent: Solve proportional equation problems and verify math homework answers.
- โขPhotographer: Maintain original aspect ratios when resizing images for print or web.
๐ฏ Tips
- โธTo find a screen height for 16:9 at a given width, use Find D with A=16, B=9, and C=your width.
- โธUse the Simplify mode to reduce large number ratios to their simplest form using the GCD.
- โธScale a recipe by entering the original ratio and setting the multiplier to your desired factor.
- โธUnderstanding proportions helps in concentration calculations, currency conversions, and many other fields.
โ FAQ
Q. For 16:9 ratio with width 1920, what's the height?
A. In Find D, enter A=16, B=9, C=1920, and D=1080 will be calculated.
Q. How do I simplify a ratio?
A. Select 'Simplify Ratio' and enter two numbers. They'll be divided by their GCD.
Q. What is the difference between a ratio and a fraction?
A. A ratio compares two quantities relative to each other (e.g., 3:2), while a fraction represents a part of a whole (e.g., 3/5). The ratio 3:2 can be expressed as fractions 3/5 and 2/5.
Q. Can I calculate ratios with more than two terms?
A. This tool works with two-term ratios (A:B). For three or more terms, split them into pairs and calculate each pair separately.
Q. Can it simplify ratios with decimals?
A. Yes, ratios containing decimals are automatically converted to whole-number ratios and then simplified.
Q. How do I calculate golden ratio dimensions (1:1.618)?
A. Use Find D mode with A=1, B=1.618, and C=your desired dimension. The tool will calculate the proportional counterpart automatically.