Ratio Calculator
Calculate and simplify ratios, solve proportions, and find equivalent ratios with step-by-step calculations. Perfect for math problems, cooking recipes, scaling, and proportion calculations.
Ratio Calculator
Common Ratio Examples
Click on these links to see instant calculations with common ratios:
Ratio Calculations
A ratio is a comparison of two or more quantities, showing the relative size of one quantity to another. Ratios can be simplified and used to solve proportions.
Ratio Formulas and Concepts
Simplified Ratio: Divide both terms by their GCF
Proportion: a:b = c:d (two equal ratios)
Cross Multiplication: a×d = b×c
Example: 12:8 = 3:2 (dividing both by 4)
Common Ratio Examples
| Original Ratio | GCF | Simplified Ratio | Decimal Form |
|---|---|---|---|
| 12:8 | 4 | 3:2 | 1.5 |
| 15:25 | 5 | 3:5 | 0.6 |
| 24:36 | 12 | 2:3 | 0.667 |
| 18:12 | 6 | 3:2 | 1.5 |
| 20:30 | 10 | 2:3 | 0.667 |
- Mathematics: Solve ratio and proportion problems in homework and tests
- Cooking: Scale recipes up or down while maintaining ingredient proportions
- Construction: Calculate material ratios and scaling for blueprints
- Finance: Analyze financial ratios and investment proportions
- Art & Design: Maintain proportions when scaling images and designs
Frequently Asked Questions
What is a ratio?
A ratio is a comparison of two or more quantities, showing how many times one value contains another. It can be written as a:b, a/b, or 'a to b'. For example, 3:2 means 3 parts to 2 parts.
How do you simplify a ratio?
To simplify a ratio, divide both numbers by their greatest common factor (GCF). For example, 12:8 can be simplified by dividing both by 4 to get 3:2.
What is the difference between a ratio and a proportion?
A ratio compares two quantities (like 3:2), while a proportion states that two ratios are equal (like 3:2 = 6:4). Proportions are used to solve for unknown values in equivalent ratios.