Ratio Calculator
The Ratio Calculator helps you compare two quantities and automatically simplifies the ratio into its lowest terms. It also calculates the decimal equivalent, greatest common divisor (GCD), and percentage representation. This calculator is useful for mathematics, finance, engineering, construction, recipes, investments, statistics, and everyday problem-solving.
What Is a Ratio?
A ratio compares two quantities and expresses how much of one value exists relative to another. Ratios are commonly written using a colon, such as 3:5, or as a fraction. They help describe proportional relationships between values.
Formula
Simplified Ratio = (A ÷ GCD) : (B ÷ GCD)
- A = First Number
- B = Second Number
- GCD = Greatest Common Divisor
Example 1
Ratio = 24 : 36
GCD = 12
Simplified Ratio = 2 : 3
Example 2
Ratio = 150 : 60
GCD = 30
Simplified Ratio = 5 : 2
How to Use the Ratio Calculator
- Enter the first number.
- Enter the second number.
- Click Calculate.
- View the original ratio, simplified ratio, decimal value, GCD, and percentage.
Common Applications
- Mathematics homework
- Recipe ingredient scaling
- Business financial analysis
- Investment portfolio allocation
- Construction material mixing
- Engineering calculations
- Probability and statistics
- Map scales and model ratios
Benefits
- Instant ratio simplification.
- Automatically calculates the GCD.
- Displays decimal and percentage values.
- Works with whole numbers and decimals.
- Responsive design for desktop and mobile devices.
Frequently Asked Questions
What is a ratio?
A ratio compares two values and shows their relative sizes. For example, 2:3 means that for every 2 units of one quantity, there are 3 units of another.
How is a ratio simplified?
Divide both numbers by their greatest common divisor (GCD) until no further simplification is possible.
What is the GCD?
The Greatest Common Divisor is the largest number that divides both values without leaving a remainder.
Can this calculator work with decimal values?
Yes. The calculator accepts decimal numbers, although ratios are generally easiest to interpret when expressed as whole numbers.
Ratio vs Fraction
| Ratio | Fraction |
|---|---|
| Compares two quantities. | Represents part of a whole. |
| Written as 2:3. | Written as 2/3. |
| Can compare unrelated quantities. | Usually represents division. |
Conclusion
The Ratio Calculator provides a fast and accurate way to compare two values, simplify ratios, and analyze numerical relationships. Whether you're solving math problems, adjusting recipes, analyzing business data, or working on engineering projects, this calculator helps you find ratios in seconds.