1. What is a Ratio?

A ratio is a quantitative relationship between two numbers showing how many times one value contains or is contained within the other. It is expressed as r = a/b where a and b are the numbers being compared.

2. How Does the Calculator Work?

The calculator uses the simple ratio formula:

Where:

• \( r \) — Ratio (unitless)
• \( a \) — First number (numerator)
• \( b \) — Second number (denominator)

Explanation: The ratio represents how many times the first number contains the second number. For example, a ratio of 2 means the first number is twice as large as the second.

3. Importance of Ratio Calculation

Details: Ratios are fundamental in mathematics, science, engineering, finance, and everyday life. They allow comparison between quantities of different scales and units when properly normalized.

4. Using the Calculator

Tips: Enter any two numbers (b cannot be zero). The calculator will compute their ratio. Results are displayed with 6 decimal places for precision.

5. Frequently Asked Questions (FAQ)

Q1: What if the denominator (b) is zero?
A: Division by zero is undefined. The calculator requires b to be non-zero.

Q2: Can I use negative numbers?
A: Yes, negative numbers are valid inputs. The ratio will be negative if one (but not both) of the numbers is negative.

Q3: What's the difference between ratio and fraction?
A: Mathematically they're similar, but ratios often compare different quantities while fractions typically represent parts of a whole.

Q4: How precise are the results?
A: Results are calculated with floating-point precision and rounded to 6 decimal places.

Q5: Can I calculate ratios of more than two numbers?
A: This calculator handles two numbers. For multiple ratios, you would need to perform multiple calculations.