Decimal to Fraction Converter
Convert a decimal to a fraction in simplest form.
Decimals back to fractions
Any terminating or repeating decimal can be written as an exact fraction, and this converts a decimal to its simplest fractional form — 0.75 becomes three-quarters, 0.333 recurring becomes one-third.
Enter a decimal to convert it to a fraction.
Terminating, repeating and exactness
The conversion reveals something about the nature of decimals. A terminating decimal like 0.75 is a straightforward fraction. A repeating decimal like 0.333 recurring is also an exact fraction — one-third — even though its decimal form never ends, which surprises people. There is a neat method for converting repeating decimals exactly rather than approximately. The deeper point is that fractions are often the exact truth where decimals are an approximation: one-third written as 0.333 is rounded, while the fraction is precise. This is why keeping values as fractions through a calculation, converting to a decimal only at the end, avoids accumulating rounding errors — a genuinely useful habit in careful arithmetic.
Frequently asked questions
Can a repeating decimal become an exact fraction?
Yes — a repeating decimal like 0.333 recurring is exactly one-third. There is a method to convert repeating decimals precisely, not just approximately.
Why prefer fractions for exactness?
Because a fraction like one-third is exact, while its decimal 0.333 is rounded — keeping fractions until the end avoids accumulating rounding errors.
Is anything uploaded?
No. The conversion happens in your browser.