1. What is Ratio Simplification?

Ratio simplification is the process of reducing a ratio to its simplest form by dividing both terms by their greatest common divisor (GCD). This makes ratios easier to understand and compare.

2. How Does the Calculator Work?

The calculator uses the following formula:

Where:

• \( a \) — First number in the ratio
• \( b \) — Second number in the ratio
• \( \text{GCD}(a,b) \) — Greatest common divisor of a and b

Explanation: The calculator first finds the GCD of both numbers, then divides each number by the GCD to get the simplified ratio.

3. Importance of Ratio Simplification

Details: Simplified ratios are easier to work with in mathematics, engineering, cooking, and other fields where proportional relationships are important.

4. Using the Calculator

Tips: Enter two positive integers to find their simplified ratio. The calculator will also display the GCD used in the simplification.

5. Frequently Asked Questions (FAQ)

Q1: What is a ratio?
A: A ratio compares two quantities showing the relative size of one quantity to another.

Q2: Why simplify ratios?
A: Simplified ratios are easier to understand, compare, and use in calculations.

Q3: Can ratios have decimal numbers?
A: While simplified ratios typically use integers, decimal ratios can occur and may be multiplied to eliminate decimals.

Q4: What if my numbers have a GCD of 1?
A: If the GCD is 1, the ratio is already in its simplest form.

Q5: Can this calculator handle more than two numbers?
A: This calculator is designed for two-number ratios only.