1. What is a Ratio of Three Numbers?

A ratio of three numbers compares the relative sizes of three quantities. It's expressed as a : b : c, showing the proportional relationship between the numbers.

2. How Does the Calculator Work?

The calculator uses the ratio equation:

Where:

• \( a \) — First number
• \( b \) — Second number
• \( c \) — Third number
• \( r \) — Simplified ratio

Explanation: The calculator simplifies the ratio by dividing all terms by their greatest common divisor (GCD).

3. Importance of Ratio Calculation

Details: Ratios are fundamental in mathematics, science, engineering, and everyday life for comparing quantities and maintaining proportions.

4. Using the Calculator

Tips: Enter three positive numbers. The calculator will return the simplified ratio in its smallest whole number form.

5. Frequently Asked Questions (FAQ)

Q1: What if one of the numbers is zero?
A: All numbers must be positive for a valid ratio. Zero values are not allowed.

Q2: How is the ratio simplified?
A: By dividing all terms by their greatest common divisor (GCD).

Q3: Can I use decimal numbers?
A: Yes, the calculator handles decimal inputs and will return the simplified ratio.

Q4: What's the difference between ratio and fraction?
A: A ratio compares quantities, while a fraction represents a part of a whole.

Q5: Where are three-number ratios used?
A: Common in color models (RGB), chemical formulas, and proportional mixing of components.