1. What is a Ratio Calculator?

Definition: This calculator simplifies and displays the ratio between two values (A and B) in its simplest form.

Purpose: It helps users understand proportional relationships between quantities in mathematics, cooking, construction, and other fields.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( A \) — First quantity (unitless)
• \( B \) — Second quantity (unitless)

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

3. Importance of Ratio Calculation

Details: Ratios are fundamental in comparing quantities, mixing substances, scaling recipes, and maintaining proportions in design and construction.

4. Using the Calculator

Tips: Enter any two positive numbers to see their simplified ratio. The values can represent any unit as long as both use the same unit.

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: Can I use decimal numbers?
A: Yes, the calculator handles decimal values by multiplying by 100 to find whole number ratios.

Q3: What if I get a ratio like 1.5 : 1?
A: The calculator will further simplify it to 3:2 by multiplying both sides by 2 to eliminate decimals.

Q4: How is this different from a fraction?
A: Ratios compare parts to parts, while fractions compare parts to a whole. Ratios can represent multiple-part relationships (A:B:C).

Q5: Can I calculate ratios with more than two numbers?
A: This calculator handles two-number ratios. For more complex ratios, you would need to extend the calculation.