What is Fractional part?

The fractional part or decimal part of a non‐negative real number x {\displaystyle x} is the excess beyond that number's integer part. If the latter is defined as the largest integer not greater than x, called floor of x or ⌊ x ⌋ {\displaystyle \lfloor x\rfloor } , its fractional part can be written as:

For a positive number written in a conventional positional numeral system , its fractional part hence corresponds to the digits appearing after the radix point. The result is a real number in the half-open interval.