⚖️ Ratio Simplifier

Free online ratio simplifier - reduce ratios to simplest form, supports fraction simplification, ratio conversion, GCD calculation, pure frontend local processing.

Zero Dependencies · Works Offline

🔢 Input Ratio

📝 Batch Simplify

What Can the Ratio Simplifier Do?

The Ratio Simplifier is a free online tool that reduces ratios to their simplest form. It supports single and multiple item ratio simplification, decimal number processing, batch processing, and shows detailed simplification steps with GCD calculation. All calculations happen locally in your browser — no data upload needed.

Features

How to Use

1. Enter a ratio in the input box, using colon (:) to separate items

2. The tool automatically calculates and displays the simplified ratio

3. View the simplification steps and GCD

4. Use batch mode to simplify multiple ratios at once

Use Cases

Scenario 1: Math Education

Quickly verify ratio simplification results and learn the simplification process.

Scenario 2: Config Proportions

Simplify ratio proportions for configurations, e.g. 3:2:1 for 6 people.

Scenario 3: Scale Calculations

Use in architecture, design, and engineering for scale simplification.

Extended Knowledge

The basis of ratio simplification is the Greatest Common Divisor (GCD). The GCD of two numbers is the largest positive integer that divides both numbers. The Euclidean algorithm calculates GCD using: GCD(a,b) = GCD(b, a mod b), until b=0, then a is the GCD. For multiple items, compute the GCD of the first two items, then the GCD of that result with the next item, and so on.

FAQ

What is the difference between a ratio and a fraction?▼
A ratio a:b is equivalent to the fraction a/b. Simplifying a ratio 6:4 is the same as simplifying the fraction 6/4 = 3/2. The ratio 3:2 and the fraction 3/2 represent the same numerical relationship.
How does the tool handle 0 in a ratio?▼
A ratio can contain 0, such as 0:5 which simplifies to 0:5. However, 0 cannot be used as a divisor, so 5:0 is an invalid ratio.
How are negative numbers in ratios handled?▼
Negative number ratios are simplified by taking absolute values for GCD calculation, then the sign is determined by the first number. For example, -6:4 simplifies to -3:2.
What is the Euclidean algorithm?▼
The Euclidean algorithm calculates GCD using: GCD(a,b) = GCD(b, a mod b), until b=0. For example, GCD(12,8) = GCD(8,4) = GCD(4,0) = 4.

Feedback: dexshuang@google.com