Decimal to Fraction Converter
Convert a decimal number into a simplified fraction.
Enter a decimal to convert it into a fraction in lowest terms. Works for terminating decimals like 0.75 → 3/4 and 1.5 → 3/2. Handy for cooking, woodworking and math.
Formula / method
Examples
3/4
3/2
Turning a decimal into parts
Any terminating decimal is really a fraction whose denominator is a power of ten. 0.75 is 75 over 100, and 0.6 is 6 over 10. The tool writes the decimal over the appropriate power of ten, then divides the top and bottom by their greatest common divisor to reduce it. So 75 over 100 simplifies to 3 over 4, and 6 over 10 becomes 3 over 5.
This gives you the exact simplest fraction, which is often clearer for recipes, woodworking measurements or explaining a ratio than a string of decimal places.
Repeating and irrational values
Not every decimal converts cleanly. A repeating decimal like 0.333... is exactly one third, but only if the pattern truly repeats forever; a rounded input such as 0.333 is treated as the terminating fraction 333 over 1000. Truly irrational numbers like pi or the square root of two have no exact fraction and can only be approximated. If you already have a fraction and just want it in lowest terms, the Simplify Fractions tool handles that step directly.
Where it's used
- Converting a decimal measurement to inch fractions for woodworking or a tape measure
- Turning a calculator's decimal result back into an exact fraction
- Reading drill-bit or bolt sizes given as decimals
- Expressing a probability or ratio as a clean fraction
- Checking math homework that asks for fractional answers
Real-world examples
- 0.75 converts to 3/4.
- 0.125 becomes 1/8 — a common tape-measure marking.
- 2.5 converts to 5/2, or 2 1/2.
- 0.3 is 3/10, while a repeating 0.333… is exactly 1/3.
Did you know?
Every repeating decimal equals an exact fraction — for example 0.142857 repeating is precisely 1/7, and 0.999… repeating is exactly 1.
FAQ
What about repeating decimals like 0.333…?
Enter as many digits as you type and you get that exact fraction (e.g., 0.333 → 333/1000). True repeating decimals such as 1/3 can’t be captured from a finite decimal.