1. What is Ratio Calculation?

A ratio compares two quantities showing the relative sizes of two values. It indicates how much of one thing there is compared to another thing, expressed as "a:b" or "a to b".

2. How Does the Calculator Work?

The calculator uses the ratio formula:

Where:

• \( Number1 \) — First quantity
• \( Number2 \) — Second quantity

Explanation: The calculator simplifies the ratio by dividing both numbers by their greatest common divisor (GCD) to get the simplest form.

3. Importance of Ratio Calculation

Details: Ratios are fundamental in mathematics, science, engineering, finance, and everyday life for comparing quantities and understanding proportional relationships.

4. Using the Calculator

Tips: Enter two positive numbers. The calculator will automatically simplify the ratio to its lowest terms. Both values must be greater than 0.

5. Frequently Asked Questions (FAQ)

Q1: What if one number is zero?
A: The calculator requires both numbers to be greater than zero since division by zero is undefined.

Q2: Can I use decimal numbers?
A: Yes, the calculator accepts decimal numbers and will simplify the ratio appropriately.

Q3: How is the greatest common divisor calculated?
A: The calculator uses the Euclidean algorithm to find the GCD of the two numbers.

Q4: What if the numbers are the same?
A: The ratio will be simplified to 1:1, indicating equal quantities.

Q5: Can this calculator handle very large numbers?
A: Yes, within the limits of PHP's floating point arithmetic. Extremely large numbers may lose precision.