1. What is a Percentage to Fraction Calculator?

Definition: This calculator converts percentage values to their equivalent fractional forms, both in decimal and simplified formats.

Purpose: It helps students, teachers, and professionals easily convert between percentage and fraction representations.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• Percentage — The input value (0-100%)
• Fraction — The resulting value between 0 and 1

Simplification: The calculator also reduces the fraction to its simplest form by dividing both numerator and denominator by their greatest common divisor (GCD).

3. Importance of Percentage-Fraction Conversion

Details: Converting between percentages and fractions is fundamental in mathematics, finance, statistics, and various scientific calculations.

4. Using the Calculator

Tips: Simply enter any percentage value between 0 and 100. The calculator will display both the decimal fraction and simplified fraction form.

5. Frequently Asked Questions (FAQ)

Q1: Can I convert fractions back to percentages?
A: Yes, multiply the fraction by 100 to get the percentage equivalent.

Q2: What about percentages over 100%?
A: While mathematically valid, this calculator focuses on the standard 0-100% range.

Q3: How accurate is the simplification?
A: The simplification is mathematically exact, using integer arithmetic.

Q4: Why show both decimal and simplified fractions?
A: Different contexts require different representations - decimals for calculations, fractions for exact ratios.

Q5: What if my percentage has decimal places?
A: The calculator handles decimal percentages and will simplify when possible (e.g., 12.5% becomes 1/8).