1. What is a Number Ratio Calculator?

Definition: This calculator finds the simplified ratio between two numbers by dividing both numbers by their greatest common divisor (GCD).

Purpose: It helps convert any pair of numbers into their simplest ratio form, which is useful in mathematics, cooking, construction, and various proportional calculations.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• num1 — First number in the ratio
• num2 — Second number in the ratio
• GCD — Greatest common divisor of both numbers

Explanation: The calculator finds the largest number that divides both input numbers without a remainder, then divides both numbers by this GCD to simplify the ratio.

3. Importance of Ratio Simplification

Details: Simplified ratios are easier to understand and work with, especially when scaling recipes, mixing solutions, or comparing quantities in their simplest form.

4. Using the Calculator

Tips: Enter two positive whole numbers. The calculator will display their simplified ratio and the GCD used to simplify them.

5. Frequently Asked Questions (FAQ)

Q1: What if my numbers have decimals?
A: Multiply both numbers by 10, 100, etc. to convert them to whole numbers before entering.

Q2: What does a ratio of 1:1 mean?
A: It means both quantities are equal in proportion.

Q3: Can I use this for more than two numbers?
A: This calculator handles two numbers, but the concept can be extended to more numbers by finding their GCD.

Q4: What's the difference between ratio and fraction?
A: A ratio compares two quantities, while a fraction represents a part of a whole.

Q5: How is this useful in real life?
A: Useful in cooking (recipe scaling), construction (mixing materials), finance (financial ratios), and more.