Fraction to Decimal Calculator
Convert any proper, improper, or mixed fraction into its simplified reduced fraction, decimal value, and percentage.
About Fraction Conversion
Fractions represent parts of a whole where the numerator denotes the number of parts taken and the denominator indicates the total equal parts.
Conversion Steps
- Simplify: Divide both numerator and denominator by their greatest common divisor (GCD).
- Decimal: Divide the numerator by the denominator, then add any whole number component.
- Percentage: Multiply the decimal value by 100.
Worked Example
Converting the fraction 5/8:
- Decimal conversion: 5 ÷ 8 = 0.625
- Percentage conversion: 0.625 × 100 = 62.5%
Frequently Asked Questions
What happens if the denominator is zero?
Division by zero is undefined in mathematics; denominators must always be non-zero numbers.
What is the difference between a proper and improper fraction?
Proper fractions have numerators smaller than their denominators (e.g., 3/4). Improper fractions have numerators equal to or larger than their denominators (e.g., 7/4).
How are recurring decimals handled?
Fractions like 1/3 produce repeating decimal expansions (0.333...) and are typically rounded to 4 to 6 decimal places for practical use.
Can negative fractions be converted?
Yes. A negative sign in either the numerator or denominator indicates a negative value across all representations.
Calculate in three steps
- 1Enter your valuesUse the fields above and check the units shown beside each input.
- 2Run the calculationSelect Calculate to refresh the result with your latest values.
- 3Review or shareCompare the result, reset the form, print it, or share this page.