1. What is Percent to Fraction Conversion?

Percent to fraction conversion is the process of converting a percentage value into its equivalent fractional form. A percentage represents a part per hundred, so converting it to a fraction involves expressing that value over 100 and simplifying when possible.

2. How Does the Calculator Work?

The calculator uses the simple formula:

Where:

• \( p \) — Percentage value (unitless)
• 100 — Constant denominator representing "per cent" (per hundred)

Explanation: The calculator first converts the percentage to a decimal fraction (p/100) and then simplifies the fraction to its lowest terms by finding the greatest common divisor (GCD) of the numerator and denominator.

3. Importance of Percent-Fraction Conversion

Details: Converting percentages to fractions is fundamental in mathematics, science, and everyday calculations. Fractions often provide more precise representations and are essential for further mathematical operations in algebra, probability, and statistics.

4. Using the Calculator

Tips: Enter any percentage value (positive numbers only). The calculator will provide both the decimal equivalent and the simplified fraction form.

5. Frequently Asked Questions (FAQ)

Q1: How do you convert 25% to a fraction?
A: 25% = 25/100 = 1/4 (simplified by dividing numerator and denominator by 25).

Q2: What is 100% as a fraction?
A: 100% = 100/100 = 1/1 = 1.

Q3: How do you handle percentages with decimals?
A: First multiply numerator and denominator by 10 until no decimals remain, then simplify (e.g., 12.5% = 125/1000 = 1/8).

Q4: Can all percentages be converted to simple fractions?
A: Only percentages that result in terminating decimals can be exactly expressed as fractions. Repeating decimals require special notation.

Q5: Why simplify fractions?
A: Simplified fractions are easier to work with in calculations and provide the most reduced form of the ratio.