Ratio Calculator
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What is Ratio Calculator?
A ratio calculator is a mathematical tool that compares two or more quantities by showing their relative sizes. A ratio expresses how many times one number contains another, written as A:B or A/B. This calculator helps you find ratios, simplify them to their lowest terms, and convert them to decimals and percentages.
Ratios are fundamental in mathematics, science, cooking, finance, and many real-world applications where proportional relationships need to be understood and calculated.
How It Works
Enter Values
Input two numbers to compare
Auto Calculate
Get ratio, simplified form, decimal
Common Examples
Recipe Scaling
Flour to Water: 3:2
For every 3 cups flour, use 2 cups water
Aspect Ratio
Screen: 16:9
Width to height ratio for widescreen
Financial Ratio
Profit to Revenue: 1:5
$1 profit for every $5 revenue
Student Ratio
Teacher to Student: 1:25
1 teacher for every 25 students
Calculation Table
| Values (A:B) | Original Ratio | Simplified | Decimal | Percentage |
|---|---|---|---|---|
| 6:4 | 6:4 | 3:2 | 1.5 | 150% |
| 8:12 | 8:12 | 2:3 | 0.667 | 66.7% |
| 15:25 | 15:25 | 3:5 | 0.6 | 60% |
| 20:30 | 20:30 | 2:3 | 0.667 | 66.7% |
| 9:27 | 9:27 | 1:3 | 0.333 | 33.3% |
Frequently Asked Questions
What is a ratio and how is it calculated?
A ratio compares two quantities and shows their relative sizes. It's calculated as A:B or A/B, where A and B are the values being compared.
How do I simplify a ratio?
To simplify a ratio, divide both numbers by their Greatest Common Divisor (GCD). For example, 6:4 becomes 3:2 when divided by GCD of 2.
Can I use decimal numbers in ratios?
Yes, you can input decimal numbers. The calculator will process them and provide results in ratio, decimal, and percentage formats.
What's the difference between ratio and proportion?
A ratio compares two quantities (A:B), while a proportion states that two ratios are equal (A:B = C:D).
Where are ratios used in real life?
Ratios are used in cooking recipes, financial analysis, aspect ratios for screens, mixing solutions, scaling drawings, and many other applications.