1. What is Ratio to Decimal/Percent Conversion?

A ratio compares two quantities, while a decimal represents the division of these quantities, and a percent expresses this as a fraction of 100. Converting between these forms is essential in many mathematical and real-world applications.

2. How Does the Calculator Work?

The calculator uses these fundamental formulas:

Where:

• \( a \) — The numerator or first quantity in the ratio
• \( b \) — The denominator or second quantity in the ratio

Explanation: The calculator takes the two numbers in your ratio and performs the division to convert to decimal, then multiplies by 100 for percent, while maintaining the original ratio and fraction forms.

3. Importance of Conversion

Details: These conversions are crucial in probability, statistics, finance, chemistry, and everyday calculations like discounts, interest rates, and performance metrics.

4. Using the Calculator

Tips: Enter any two numbers (a and b) where b is not zero. The calculator will show all four representations of the same relationship.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between ratio and fraction?
A: A ratio compares quantities (3:4), while a fraction represents division (3/4). Ratios don't always represent parts of a whole.

Q2: How do I convert percent back to ratio?
A: Divide the percent by 100 to get decimal, then express as a fraction in simplest form (e.g., 75% = 0.75 = 3/4 = 3:4).

Q3: What if my denominator is zero?
A: Division by zero is undefined. The denominator must be a non-zero value.

Q4: Can I use decimal numbers?
A: Yes, the calculator accepts decimal inputs for both numerator and denominator.

Q5: How do I simplify my ratio?
A: Divide both numbers by their greatest common divisor (GCD). For example, 6:8 simplifies to 3:4.