1. What is This Calculator?

This calculator converts between fractions, percentages, and decimals. It provides all three representations of the same value for easy comparison and understanding.

2. How Does the Calculator Work?

The calculator uses these mathematical formulas:

Where:

• \( a \) — Numerator (unitless)
• \( b \) — Denominator (unitless)

Explanation: The calculator takes the ratio of numerator to denominator and presents it in three different formats that are mathematically equivalent.

3. Importance of These Conversions

Details: Understanding the relationship between fractions, decimals, and percentages is fundamental in mathematics, science, finance, and everyday life. Different contexts call for different representations.

4. Using the Calculator

Tips: Enter any numerator and denominator (b cannot be zero). The calculator will show the fraction, its decimal equivalent, and percentage value.

5. Frequently Asked Questions (FAQ)

Q1: Why are these conversions important?
A: Different fields use different representations. Fractions are common in recipes, decimals in scientific work, and percentages in statistics and finance.

Q2: How do I simplify the fraction result?
A: Find the greatest common divisor (GCD) of numerator and denominator, then divide both by it.

Q3: What if my denominator is zero?
A: Division by zero is undefined. The calculator requires a non-zero denominator.

Q4: How precise are the results?
A: Decimals are shown to 4 decimal places, percentages to 2 decimal places.

Q5: Can I enter negative numbers?
A: Yes, but the denominator must still be non-zero. Negative values will be properly represented in all formats.