1. What is a Ratio?

A ratio compares two quantities by division, showing the relative size of two values. It's expressed as "a to b" or as a fraction a/b.

2. How Does the Calculator Work?

The calculator uses the ratio formula:

Where:

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

Explanation: The ratio represents how many times the first number contains the second number.

3. Importance of Ratio Calculation

Details: Ratios are fundamental in mathematics, science, engineering, finance, and everyday comparisons. They provide a standardized way to compare quantities of different magnitudes.

4. Using the Calculator

Tips: Enter any two positive numbers. The calculator will compute their ratio. Both values must be greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What does a ratio of 1 mean?
A: A ratio of 1 means the two quantities are equal in value (a = b).

Q2: How is ratio different from percentage?
A: A ratio compares two quantities directly, while a percentage compares one quantity to 100 parts of another.

Q3: Can ratios be simplified?
A: Yes, ratios can often be simplified by dividing both numbers by their greatest common divisor.

Q4: What's the difference between ratio and proportion?
A: A ratio compares two quantities, while a proportion states that two ratios are equal.

Q5: Can ratios be greater than 1?
A: Yes, when the numerator is larger than the denominator, the ratio will be greater than 1.