1. What is Fraction to Decimal to Percent Conversion?

The process of converting a fraction (numerator/denominator) first to its decimal equivalent by division, then to a percentage by multiplying the decimal by 100. This is a fundamental mathematical operation used in many real-world applications.

2. How Does the Calculator Work?

The calculator uses these simple formulas:

Where:

• \( num \) — Numerator (top number of fraction)
• \( den \) — Denominator (bottom number of fraction, cannot be zero)
• \( Decimal \) — Result of division (num ÷ den)
• \( Percent \) — Decimal multiplied by 100

Explanation: The calculator first divides the numerator by the denominator to get the decimal value, then multiplies that decimal by 100 to convert it to a percentage.

3. Importance of Conversion

Details: Converting between fractions, decimals, and percentages is essential for comparing values, solving mathematical problems, financial calculations, statistics, and everyday measurements.

4. Using the Calculator

Tips: Enter any positive numerator and any positive 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 calculator requires a denominator greater than zero.

Q2: How many decimal places are shown?
A: Decimals are rounded to 4 places, percentages to 2 places for readability.

Q3: Can I enter negative numbers?
A: The calculator only accepts positive numbers as input.

Q4: What about improper fractions?
A: The calculator works with any proper or improper fraction (where numerator ≥ denominator).

Q5: How is this different from ratio to percent?
A: A fraction is a specific type of ratio where the comparison is part-to-whole, but the calculation method is the same.