1. What is a Ratio Calculator?

Definition: This calculator computes the simplified ratio between two numbers.

Purpose: It helps find the proportional relationship between two quantities in their simplest form.

2. How Does the Ratio Calculator Work?

The calculator uses the formula:

Where:

• \( a \) — First number in the ratio
• \( b \) — Second number in the ratio

Explanation: The calculator finds the greatest common divisor (GCD) of the two numbers and divides both by it to simplify the ratio.

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 any two positive numbers to get their simplified ratio. The calculator handles decimal values by multiplying by 100 before simplification.

5. Frequently Asked Questions (FAQ)

Q1: What does a ratio represent?
A: A ratio shows the relative sizes of two or more values, indicating how many times one value contains another.

Q2: How are ratios simplified?
A: Ratios are simplified by dividing both numbers by their greatest common divisor (GCD).

Q3: Can I use decimal numbers?
A: Yes, the calculator converts decimals to whole numbers by multiplying by 100 before simplification.

Q4: What's the difference between ratio and fraction?
A: A ratio compares two numbers, while a fraction represents a part of a whole. Ratios can compare unlike quantities (miles/hour), while fractions compare like quantities.

Q5: How are ratios used in real life?
A: Ratios are used in cooking (recipes), maps (scale), finance (debt-to-income), medicine (drug dosages), and many other applications.