1. What is Percentage to Fraction Conversion?

Percentage to fraction conversion is the process of converting a percentage value into its equivalent fractional representation. Percentages are essentially fractions with a denominator of 100, so converting them involves creating a simpler fraction when possible.

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 (by dividing by 100) and then simplifies the resulting fraction to its lowest terms when possible.

3. Importance of Percentage Conversion

Details: Converting percentages to fractions is essential in many mathematical calculations, especially in probability, statistics, and various scientific computations where fractional representations are preferred.

4. Using the Calculator

Tips: Enter any positive percentage value. The calculator will provide both the decimal equivalent and the simplified fractional form of your percentage.

5. Frequently Asked Questions (FAQ)

Q1: How do you convert 25% to a fraction?
A: 25% = 25/100 = 1/4 in simplified form.

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

Q3: Can percentages over 100% be converted?
A: Yes, for example 150% = 150/100 = 3/2 or 1½.

Q4: How are repeating percentages handled?
A: For exact values like 33.33%, use 1/3 instead. The calculator approximates for non-exact inputs.

Q5: Why simplify fractions?
A: Simplified fractions are easier to work with in further calculations and provide a clearer understanding of proportions.