1. What is a Ratio Simplification Calculator?

Definition: This calculator simplifies any ratio to its lowest terms by dividing both numbers by their greatest common divisor (GCD).

Purpose: It helps convert complex ratios into simpler, more understandable forms while maintaining the same proportional relationship.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• Numbers — The original ratio numbers (must be positive integers)
• GCD — Greatest Common Divisor of the two numbers
• Simplified — The reduced ratio in simplest form

Explanation: The calculator finds the largest number that divides both numbers evenly, then divides both by this number.

3. Importance of Ratio Simplification

Details: Simplified ratios are easier to understand, compare, and work with in mathematics, cooking, construction, and other fields.

4. Using the Calculator

Tips: Enter two positive integers to represent your ratio. The calculator will show the simplified form and the GCD used.

5. Frequently Asked Questions (FAQ)

Q1: What if my numbers have decimals?
A: First multiply both numbers by the same factor to convert them to integers before simplifying.

Q2: What does GCD mean?
A: GCD stands for Greatest Common Divisor - the largest number that divides both numbers without remainder.

Q3: Can I simplify more than two numbers?
A: Yes, the same principle applies - find the GCD of all numbers and divide each by it.

Q4: What if my numbers are already simplified?
A: The calculator will return the same numbers with a GCD of 1.

Q5: Can I use this for negative numbers?
A: Ratios typically use positive numbers, but the calculator will work with absolute values.