About this calculator
A ratio is a relationship between two quantities, indicating how many times one quantity is the other. Ratios are usually written in the form a:b, pronounced "a to b." Ratios are widely used in daily life, mathematics, science, business and other fields. Our free online ratio calculator provides a simple, fast and accurate solution.
The Ratio Calculator can simplify ratios to their simplest form, just like fractions. For example, 12:18 can be simplified to 2:3 (divided by the greatest common divisor of 6). The calculator also displays the ratio in decimal and percentage form, making it easier to use in different scenarios.
Using the ratio calculator is easy and intuitive. Just enter two numbers, hit the calculate button and instantly get simplified ratios, decimals and percentages. This tool is especially useful for students, teachers, and anyone who needs to perform ratio calculations.
What it calculates
The ratio calculator simplifies ratios, solves missing terms in proportions, and compares relative quantities.
Formula
If a:b = c:d, then a*d = b*c. To simplify a ratio, divide all terms by their greatest common factor.
Inputs
- Two or more values.
- Ratio to simplify, compare, or solve for a missing term.
Example
| Input | Result | Note |
|---|---|---|
| 8:12 | 2:3 | Divide both by 4 |
| 2:3 = x:12 | x=8 | Cross multiply |
| 5:10:15 | 1:2:3 | Multi-part ratio |
How to interpret the result
A ratio shows relative size between quantities, not absolute difference. Equivalent ratios keep the same multiplicative relationship.
Common mistakes
- Simplify all ratio terms by the same factor.
- Do not mix ratios with percentages.
- Keep term order aligned when solving proportions.
How to use
Using the ratio calculator is very simple. First, enter the first number in the first input box. Then, enter the second number in the second input box. Click the "Calculate" button.
The calculator instantly displays results including: simplified ratios, decimals, and percentages. For example, enter 12 and 18, simplified ratio = 2:3, decimal form = 0.6667, percentage form = 66.67%.
A simplified ratio is the simplest form of the original ratio divided by its greatest common divisor. The decimal form is the first number divided by the second number. The percentage form is the decimal form multiplied by 100%. Click the "Reset" button to clear all inputs and start a new calculation.
Main features
This ratio calculator has the following features: automatically simplifies ratios to their simplest form; displays simplified ratios, decimals and percentage forms at the same time; uses GCD algorithm to simplify ratios; automatically detects invalid input (the second number is zero); the interface is simple and intuitive, easy to use; fast response speed, calculation results are displayed instantly; completely free, no registration or download required; supports desktop and mobile device access.
Use cases
The ratio calculator is very useful in several scenarios. In cooking, ratios are used for recipe proportions. For example, a flour to water ratio of 3:2 means 3 parts flour to 2 parts water. In maps, ratios are used to represent scale. For example, 1:100000 means that 1 centimeter on the map represents 100000 centimeters (1 kilometer) in real life.
In business, ratios are used in financial analysis. For example, asset-liability ratio, current ratio, etc. In sports, ratios are used to express the ratio of wins and losses, points gained and lost, etc. In chemistry, ratios are used to express the proportions of chemical reactions.
In daily life, ratios can be used to compare prices, calculate discounts, allocate resources, etc. For example, if the price ratio of two items is 3:2, you can quickly compare which one is more expensive. Whether in study, work or life, the ratio calculator is a useful tool.