How it works

This tool helps you convert any percentage into its equivalent fraction in the simplest form. Whether you're tackling homework, preparing for an exam, or just need a quick conversion, this calculator makes it easy to understand the relationship between percentages and fractions.

The Formula

To convert a percentage (P%) to a fraction, you first express it as P/100. Then, simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). Formula: P% = P/100 (then simplify)

Worked Example

1. Example: Convert 75% to a Fraction

   Let's say you want to convert 75% to a fraction. First, write it as 75/100. Next, find the greatest common divisor (GCD) of 75 and 100, which is 25. Divide both the numerator and denominator by 25: 75 ÷ 25 = 3 100 ÷ 25 = 4 So, 75% as a simplified fraction is 3/4.

Tips, Assumptions & Limitations

• Remember that 'percent' means 'per one hundred,' so 75% is literally 75 out of 100.
• This tool can handle percentages with decimal points, like 12.5% or 0.5%.
• For percentages greater than 100% (e.g., 150%), the resulting fraction will be an improper fraction or a whole number.