1. What is Percent to Fraction Conversion?

Percent to fraction conversion is the process of transforming a percentage value into its equivalent fractional representation. Percent means "per hundred," so any percentage can be expressed as a fraction with denominator 100.

2. How Does the Calculator Work?

The calculator uses the simple formula:

Where:

• \( p \) — Percentage value (unitless)

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

3. Importance of Percent-Fraction Conversion

Details: Converting percentages to fractions is essential in mathematics, science, engineering, and finance. Fractions often provide more precise representations and are necessary for certain calculations and comparisons.

4. Using the Calculator

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

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 (whole number).

Q3: How to convert percentages with decimals to fractions?
A: First multiply numerator and denominator by 10 until no decimals remain, then simplify. Example: 12.5% = 125/1000 = 1/8.

Q4: Why simplify fractions?
A: Simplified fractions are easier to work with in calculations and provide the most reduced form of the ratio.

Q5: Can all percentages be converted to simple fractions?
A: While all percentages can be converted to fractions, some (like 33.33%) result in repeating decimals that don't simplify neatly.