1. What is a Three Number Ratio Calculator?

Definition: This calculator simplifies a ratio of three numbers to its smallest whole number equivalent.

Purpose: It helps in simplifying complex ratios to make them easier to understand and work with in various applications.

2. How Does the Calculator Work?

The calculator uses the following process:

Where:

• \( a \) — First number in the ratio
• \( b \) — Second number in the ratio
• \( c \) — Third number in the ratio

Explanation: The calculator finds the greatest common divisor (GCD) of all three numbers and divides each number by this GCD to simplify the ratio.

3. Importance of Ratio Simplification

Details: Simplified ratios are easier to understand, compare, and use in calculations. They're essential in fields like chemistry, cooking, construction, and finance.

4. Using the Calculator

Tips: Enter any three positive numbers to get their simplified ratio. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What if one of my numbers is zero?
A: The calculator requires all numbers to be greater than zero as ratios with zero are undefined.

Q2: Can I use decimal numbers?
A: Yes, the calculator works with decimal numbers, but the simplified ratio will be in whole numbers.

Q3: How is this different from a two-number ratio calculator?
A: This handles three numbers instead of two, requiring calculation of GCD across all three values.

Q4: What if my numbers don't simplify?
A: If the numbers have no common divisor other than 1, the ratio will remain the same.

Q5: Can I use this for negative numbers?
A: No, the calculator only works with positive numbers as ratios are always positive.