Fraction to Decimal Calculator
Quickly convert any fraction into a decimal number and percentage.
Enter your values and click Calculate
Fractions and decimals represent the same value in different formats, but most calculators, spreadsheets, and programming environments work exclusively with decimals. Converting a fraction like 3/8 to its decimal equivalent (0.375) is necessary whenever you need to use a fraction in a formula, compare values, or express a measurement in a universally readable form. This calculator performs the conversion instantly and also returns the simplified fraction and the percentage equivalent — three forms of the same value — so you have the exact representation needed for any context, from school maths to engineering tolerances.
How It Works
Decimal = Numerator ÷ Denominator — the fraction bar is simply a division symbol. For example, 3/4 = 3 ÷ 4 = 0.75. The percentage is then Decimal × 100, giving 75%. To simplify the original fraction, the Euclidean algorithm finds the Greatest Common Divisor (GCD) of the numerator and denominator. Both are divided by the GCD to produce the irreducible form. For example, 8/32 has a GCD of 8, so the simplified fraction is 1/4. When the denominator simplifies to 1, the result is displayed as a whole number. Division by zero is rejected as mathematically undefined.