1. What is Percent to Fraction Conversion?

Percent to fraction conversion is the process of converting 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 fraction with denominator 100, then simplifies it to its lowest terms by finding the greatest common divisor (GCD).

3. Importance of Percent to Fraction Conversion

Details: Converting percentages to fractions is essential in mathematics, engineering, and science when exact ratios are needed rather than percentage approximations. Fractions often provide more precise representations for calculations.

4. Using the Calculator

Tips: Enter any percentage value (positive or zero). The calculator will provide both the fractional representation (simplified to lowest terms) and the decimal equivalent.

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: Can percentages over 100% be converted?
A: Yes, for example 150% = 150/100 = 3/2 = 1½.

Q4: How do you handle decimal percentages?
A: Multiply numerator and denominator by 10 until whole numbers, then simplify. Example: 62.5% = 625/1000 = 5/8.

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