Calculators/Ratio Calculator

Ratio & Proportion Calculator

Simplify ratios, scale proportions, and solve ratio problems

About Ratio Calculator

A ratio calculator helps you work with ratios and proportions. Whether you need to simplify a ratio to its lowest terms, scale a ratio by a factor, or solve proportion problems, our calculator makes these mathematical operations quick and accurate.

Ratios are used in cooking, construction, design, and many other fields. Our tool supports multiple ratio operations to meet your needs.

Calculate Ratio
Choose operation type and enter your values
How Ratio Calculations Work

Simplifying Ratios:

Divide both numbers by their GCD (Greatest Common Divisor)

📊 Example:

Simplify the ratio 12:18

GCD(12, 18) = 6
12 ÷ 6 = 2
18 ÷ 6 = 3
Simplified ratio: 2:3

Key Ratio Concepts

Ratio:

A comparison of two quantities. Example: 3:4 means for every 3 of one thing, there are 4 of another.

Proportion:

An equation stating that two ratios are equal. Example: 3:4 = 6:8

Scaling:

Multiplying both parts of a ratio by the same number. Example: 2:3 scaled by 2 = 4:6

Frequently Asked Questions

What is the GCD?

The Greatest Common Divisor is the largest number that divides both numbers evenly. It's used to simplify ratios to their lowest terms.

Can ratios have decimals?

Yes, ratios can include decimals. However, they're often simplified to whole numbers for easier understanding.

What's the difference between ratio and fraction?

A ratio compares two quantities (3:4), while a fraction represents a part of a whole (3/4). They're related but used differently.