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 writing the percentage as the numerator and 100 as the denominator, then simplifying the fraction.

2. How Does the Calculator Work?

The calculator uses the following formula:

Where:

• \( Percentage \) — The input percentage value (0-100)
• The fraction is simplified by dividing both numerator and denominator by their greatest common divisor (GCD)

Example: 75% becomes 75/100 which simplifies to 3/4

3. Importance of Fraction Conversion

Details: Converting percentages to fractions is important in mathematics, engineering, and various scientific calculations where fractional representations are preferred for precise calculations or when working with ratios.

4. Using the Calculator

Tips: Enter any percentage value between 0 and 100. The calculator will display both the simplified fraction and its decimal equivalent.

5. Frequently Asked Questions (FAQ)

Q1: What if my percentage has decimal places?
A: The calculator handles decimal percentages by converting them to fractions with denominators that are powers of 10 before simplifying.

Q2: How does the simplification work?
A: The calculator finds the greatest common divisor (GCD) of the numerator and denominator and divides both by this number.

Q3: What about percentages over 100%?
A: While this calculator limits to 100%, percentages over 100% would convert to improper fractions (e.g., 150% = 3/2).

Q4: Why would I need the fraction instead of the decimal?
A: Fractions are often more precise (1/3 vs 0.333...) and are preferred in many mathematical and scientific contexts.

Q5: Can I convert the fraction back to a percentage?
A: Yes, simply multiply the fraction by 100 to get back to a percentage.