1. What is 3-Digit Fraction to Ratio Conversion?

This calculator converts a fraction with 3-digit numerator and denominator to its ratio form (a:b) and provides the simplified version of that ratio.

2. How Does the Calculator Work?

The calculator uses the following process:

Then simplifies the ratio by dividing both numbers by their greatest common divisor (GCD).

Example: 123/456 becomes 123:456 which simplifies to 41:152

3. Importance of Ratio Simplification

Details: Simplified ratios are easier to understand and work with in mathematical operations and real-world applications.

4. Using the Calculator

Tips: Enter 3-digit numerator and denominator (1-999). Denominator must be greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What if my numbers have more than 3 digits?
A: The calculator will still work, but is optimized for 3-digit numbers.

Q2: How is the GCD calculated?
A: Using the Euclidean algorithm, which efficiently finds the greatest common divisor.

Q3: What if I enter zero for denominator?
A: The calculator requires denominator > 0 (division by zero is undefined).

Q4: Can I use decimal numbers?
A: No, this calculator works with whole numbers only.

Q5: What's the maximum number this can handle?
A: While it can handle numbers beyond 999, it's designed for 3-digit numbers.