1. What is Fraction to Percentage/Decimal Conversion?

This calculator converts fractions to their equivalent percentage and decimal forms. It's useful for comparing proportions, understanding statistical data, and solving mathematical problems.

2. How Does the Calculator Work?

The calculator uses these simple equations:

Where:

• \( a \) — Numerator (unitless)
• \( b \) — Denominator (unitless)
• \( p \) — Percentage result (%)
• \( d \) — Decimal result (unitless)

Explanation: The fraction a/b represents a proportion, which can be expressed as either a decimal (between 0 and 1) or a percentage (between 0% and 100%).

3. Importance of Fraction Conversion

Details: Converting fractions to percentages and decimals is essential for data interpretation, financial calculations, academic work, and everyday problem solving.

4. Using the Calculator

Tips: Enter numerator and denominator values (denominator cannot be zero). The calculator will automatically compute both the decimal and percentage equivalents.

5. Frequently Asked Questions (FAQ)

Q1: What if my denominator is zero?
A: Division by zero is undefined. The denominator must be a non-zero value.

Q2: How precise are the results?
A: Decimals are shown to 4 decimal places, percentages to 2 decimal places.

Q3: Can I use negative numbers?
A: The calculator accepts positive numbers only as fractions typically represent proportions.

Q4: What's the difference between fraction and percentage?
A: A fraction shows a part of a whole, while a percentage shows that part per hundred.

Q5: When would I need to convert fractions?
A: Common uses include test scores, financial ratios, statistics, and recipe adjustments.