1. What Are Ratios?

A ratio compares two quantities showing the relative sizes of two values. Ratios can be expressed as "a to b" (a:b) or as a fraction (a/b).

2. How To Calculate Ratios

The basic ratio calculation formula:

Where:

• \( a \) — First quantity (numerator)
• \( b \) — Second quantity (denominator)

Explanation: The ratio shows how many times one number contains another. For example, a ratio of 3:1 means the first value is three times the second value.

3. Importance of Ratios

Details: Ratios are fundamental in mathematics, science, engineering, finance, and everyday life. They allow comparison between quantities of the same kind.

4. Using the Calculator

Tips: Enter two positive numbers to calculate their ratio. The calculator will show both the a:b format and the decimal equivalent.

5. Frequently Asked Questions (FAQ)

Q1: Can ratios be simplified?
A: Yes, ratios can be simplified by dividing both numbers by their greatest common divisor (GCD).

Q2: What's the difference between a ratio and a fraction?
A: While similar, ratios compare parts to parts, while fractions compare parts to a whole.

Q3: Can ratios have more than two numbers?
A: Yes, extended ratios (a:b:c) can compare three or more quantities.

Q4: How are ratios used in real life?
A: Common uses include mixing ingredients (recipes), financial analysis, map scales, and aspect ratios in displays.

Q5: What if one value is zero?
A: Division by zero is undefined, so both values must be positive numbers.