1. What is a 3 Ratio Simplifier?

Definition: This calculator simplifies a three-part ratio to its smallest whole number equivalent by dividing all parts by their greatest common divisor (GCD).

Purpose: It helps in reducing complex ratios to simpler forms for easier interpretation and comparison.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( a, b, c \) — Original ratio values (unitless)
• \( g \) — Greatest Common Divisor (GCD) of a, b, and c

Explanation: The calculator finds the largest number that divides all three ratio values exactly, then divides each value by this GCD.

3. Importance of Ratio Simplification

Details: Simplified ratios are easier to understand, compare, and use in calculations. They maintain the same proportion while using smaller numbers.

4. Using the Calculator

Tips: Enter three positive numbers representing your ratio. The calculator will return the simplified form and the GCD used.

5. Frequently Asked Questions (FAQ)

Q1: What if my numbers have decimals?
A: The calculator handles decimal values, but the simplified ratio may still contain decimals if the numbers aren't all whole numbers.

Q2: Can I simplify more than three ratios?
A: This calculator is designed for three ratios. For more ratios, you would need to extend the GCD calculation.

Q3: What if my numbers have different units?
A: The calculator assumes all values have the same units (unitless). Convert all values to the same unit before simplifying.

Q4: What does it mean if the GCD is 1?
A: A GCD of 1 means the ratio is already in its simplest form and cannot be reduced further.

Q5: Can I use negative numbers?
A: The calculator only accepts positive numbers since ratios typically represent positive quantities.