# Fractional part

For a positive number written in a conventional positional numeral system (such as binary or decimal), its fractional part hence corresponds to the digits appearing after the radix point.

## For negative numbers

The fractional part defined via difference from ⌊ ⌋ is usually denoted by curly braces:

Its range is the half-open interval [0, 1).

For opposite numbers fractional parts complement as follows:

## Relation to continued fractions

Every real number can be essentially uniquely represented as a continued fraction, namely as the sum of its integer part and the reciprocal of its fractional part which is written as the sum of its integer part and the reciprocal of its fractional part, and so on.

## See also

Credits to the contents of this page go to the authors of the corresponding Wikipedia page: en.wikipedia.org/wiki/Fractional part.