Fraction to Decimal Converter
Convert a fraction into its decimal form, and a decimal into a fraction.
Fractions and decimals, both ways
Some contexts want a fraction, others a decimal, and moving between them by hand means dividing or spotting the pattern. This converts a fraction to its decimal value and a decimal back to a fraction, so three-quarters becomes 0.75 and a decimal reduces to its simplest fraction.
Enter a fraction or a decimal and see the other.
Terminating and repeating decimals
A neat bit of maths sits behind this. Some fractions convert to a clean, terminating decimal — a quarter is exactly 0.25 — while others repeat forever, like a third being 0.333 recurring, depending on the fraction's denominator. Converting a decimal the other way, a good tool reduces the result to its simplest form, so 0.5 comes back as one half rather than five tenths. Understanding that some fractions simply cannot be written exactly as a finite decimal explains a lot of the small rounding errors that crop up in calculations.
Questions & answers
Why do some fractions become repeating decimals?
It depends on the denominator — some divide cleanly to a terminating decimal, others repeat forever, like a third being 0.333 recurring.
Does it simplify the fraction?
Yes — converting a decimal back gives the fraction in its simplest form, so 0.5 becomes one half, not five tenths.
Is anything uploaded?
No. The conversion happens in your browser.