1. What is Percentage to Fraction Conversion?

Percentage to fraction conversion is the process of expressing a percentage value as an equivalent fraction. Percent means "per hundred," so converting to a fraction involves creating a ratio with the percentage value as the numerator and 100 as the denominator, then simplifying.

2. How Does the Calculator Work?

The calculator uses the following mathematical process:

For example, converting 43.75%:

1. Remove the % sign: 43.75
2. Write as fraction with denominator 100: 43.75/100
3. Multiply numerator and denominator by 100 to eliminate decimal: 4375/10000
4. Simplify by dividing numerator and denominator by their greatest common divisor (625): 7/16

3. Importance of Percentage-Fraction Conversion

Details: Converting percentages to fractions is essential in mathematics, engineering, and sciences where fractional representations are often more useful for further calculations or comparisons.

4. Using the Calculator

Tips: Enter any percentage value (with or without decimal places). The calculator will show the decimal equivalent, simplified fraction form, and the complete conversion process.

5. Frequently Asked Questions (FAQ)

Q1: Why convert percentages to fractions?
A: Fractions often provide a more precise representation and are easier to use in subsequent mathematical operations.

Q2: How do you handle repeating decimals?
A: For repeating decimals, the calculator shows the exact fraction representation rather than a decimal approximation.

Q3: What's the advantage of simplified fractions?
A: Simplified fractions are easier to understand, compare, and use in calculations.

Q4: Can I convert fractions back to percentages?
A: Yes, by dividing numerator by denominator and multiplying by 100.

Q5: Why does 43.75% equal 7/16?
A: Because 43.75/100 simplifies to 7/16 when reduced by their greatest common divisor.