Math & Percentage

Fraction to Percent Calculator

Convert proper, improper, and mixed fractions into percentages and decimal equivalents.

Math

Fraction to Percent Converter

Turn any fraction into an exact percentage and decimal number.

Percentage Result
%75.00
Decimal Equivalent 0.75
Simplified Fraction 3/4
Calculation Steps
(3 / 4) × 100 = 0.75 × 100 = 75%

How to Convert a Fraction to a Percentage

Converting a fraction to a percentage is a fundamental math operation. A fraction represents a ratio or division of two numbers, whereas a percentage represents parts per hundred.

Mathematical Formula

To convert a fraction (a / b) into a percentage:

Percentage (%) = (Numerator / Denominator) × 100 = (a / b) × 100%

For a mixed number (w a/b):

  1. Convert to an improper fraction: ((w × b) + a) / b
  2. Find the decimal value: Decimal = ((w × b) + a) / b
  3. Multiply by 100:
Percentage (%) = Decimal × 100%

Common Fractions and Percentages

  • 1/2 = 0.50 = 50%
  • 1/4 = 0.25 = 25%
  • 3/4 = 0.75 = 75%
  • 1/5 = 0.20 = 20%
  • 1/8 = 0.125 = 12.5%