1. What is Percentage to Fraction Conversion?

Percentage to fraction conversion is the process of converting a percentage value into its equivalent fraction form. Percent means "per hundred," so any percentage can be expressed as a fraction with 100 as the denominator, which is then simplified to its lowest terms.

2. How Does the Calculator Work?

The calculator uses the following formula:

Steps:

1. Convert the percentage to a fraction with denominator 100
2. Find the greatest common divisor (GCD) of numerator and denominator
3. Divide both numerator and denominator by the GCD to simplify

3. Importance of Fraction Conversion

Details: Converting percentages to fractions is essential in mathematics, science, and engineering 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 (can include decimals). The calculator will return the simplified fraction and its decimal equivalent.

5. Frequently Asked Questions (FAQ)

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

Q2: What about percentages greater than 100%?
A: They convert to improper fractions (e.g., 150% = 150/100 = 3/2).

Q3: How are decimal percentages handled?
A: The calculator multiplies numerator and denominator by 10 until numerator is whole (e.g., 12.5% = 125/1000 = 1/8).

Q4: Why simplify fractions?
A: Simplified fractions are in their most reduced form, making them easier to work with in calculations.

Q5: Can all percentages be exactly expressed as fractions?
A: Yes, though some may have large denominators if the percentage has many decimal places.