Ratio Calculator: A Practical Guide
Use the Ratio Calculator to simplify two nonnegative quantities into their smallest whole-number ratio. A ratio preserves their relationship rather than their absolute size. Decimal inputs are scaled to whole numbers before common factors are removed.
How to Use Ratio Calculator
- Enter First number.
- Enter Second number in a comparable unit.
- Select Simplify ratio.
- Read the result in the same order as your inputs.
Simplifying Without Changing Proportion
Both sides are divided by their greatest common divisor after decimal places have been aligned. This preserves exact decimal ratios instead of rounding them first.
A ratio of 2:3 means two parts of the first quantity for every three parts of the second. It does not mean the first quantity is two thirds of the combined total: it is two fifths of that total.
Worked Example
The inputs 1.5 and 2.25 scale to 150 and 225, then simplify to 2:3.
If a mixture contains 2 litres and 3 litres of two components, the combined amount is 5 litres. The first component is 40% of the whole.
Calculate a share once you know the total: use the Percentage Calculator.
Align liquid-volume units: use the Volume Converter.
Checks and Common Mistakes
- Both inputs must be nonnegative decimal numbers.
- At least one input must be nonzero.
- Convert different measurement units before simplifying.
- Do not reverse the input order when labeling the result.
Frequently Asked Questions
Are decimal values accepted?
Yes. Use a decimal point, such as 1.5. The ratio algorithm aligns decimal places before simplifying.
What does 0:5 become?
It simplifies to 0:1. Two zero values do not define a meaningful ratio.
Does simplification change the quantities?
It describes the same proportion with smaller whole numbers; it does not change your original measured amounts.
Related Tools for the Next Step
- Percentage Calculator: Calculate a share once you know the total.
- Volume Converter: Align liquid-volume units.
- Weight Converter: Align mass units.
- Average Calculator: Find a mean rather than a proportion.
Reference
Further reading: Ratios explained.