Ratio Calculator

A ratio calculator is a tool that compares two values and expresses their relationship in ratio form. It can simplify a ratio, reduce it to lowest terms, and show the decimal value of one number divided by the other.

This is useful in mathematics, cooking, construction, business, map reading, scale work, statistics, finance, and many everyday comparison problems where two quantities need to be related clearly.

To calculate a ratio, write the two values in the form a:b. Then simplify the ratio by dividing both numbers by their greatest common divisor. For example, the ratio 12:18 becomes 2:3 because both numbers can be divided by 6.

If you also want the decimal form of the ratio, divide the first value by the second value. In the example 12:18, the decimal ratio value is about 0.6667.

A ratio compares two quantities, such as 2:3. A fraction usually represents part of a whole, such as 2/3. A proportion is an equation showing that two ratios are equal, such as 2:3 = 4:6.

These ideas are closely related, but they are used in slightly different ways depending on whether you are comparing quantities, expressing part-to-whole relationships, or checking whether two ratios are equivalent.

A ratio calculator is useful for recipes, classroom math, business comparisons, financial analysis, mixing materials, scaling drawings, map distances, and statistical comparisons. It helps reduce errors and saves time when you need a simplified ratio quickly.

It is also useful for students learning how to simplify ratios and understand how ratios connect to fractions, decimals, percentages, and proportional reasoning.

First, write the two values as a ratio using a colon, such as 12:18. Next, find the greatest common divisor of both numbers. In this case, the greatest common divisor is 6.

Then divide each number by that divisor. Since 12 ÷ 6 = 2 and 18 ÷ 6 = 3, the simplified ratio is 2:3. This process gives the ratio in lowest terms.