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.

2. How Does the Calculator Work?

The calculator uses the following formula:

The calculator then simplifies the resulting fraction by finding the greatest common divisor (GCD) of the numerator and denominator.

Example: For 25%:

• Convert to fraction: 25/100
• Simplify by dividing numerator and denominator by 25: 1/4

3. Importance of Fraction Conversion

Details: Converting percentages to fractions is important in mathematics, engineering, and science where fractional representations are often more useful for calculations and comparisons than percentages.

4. Using the Calculator

Tips: Enter any percentage value (can include decimals). The calculator will display the equivalent fraction in its simplest form and the decimal equivalent.

5. Frequently Asked Questions (FAQ)

Q1: How do you convert a percentage to a fraction?
A: Divide the percentage by 100 and simplify the resulting fraction by finding the GCD of numerator and denominator.

Q2: What is 25% as a fraction?
A: 25% equals 1/4 when simplified (25/100 simplified by dividing both by 25).

Q3: Can all percentages be converted to fractions?
A: Yes, any percentage can be converted to a fraction, though some may result in complex fractions that can't be simplified.

Q4: What about percentages with decimals?
A: The calculator handles decimal percentages by multiplying numerator and denominator by 100 to eliminate the decimal before simplifying.

Q5: Why simplify fractions?
A: Simplified fractions are easier to work with in calculations and provide a more intuitive understanding of the proportion.