Decimal part

The fractional part or decimal part of a non‐negative real number${\displaystyle x}$ is the excess beyond that number's integer part. The latter is defined as the largest integer not greater than x, called floor of x or ${\displaystyle \lfloor x\rfloor }$. Then, the fractional part can be formulated as a difference: $${\displaystyle \operatorname {frac} (x)=x-\lfloor x\rfloor ,\;x>0.}$$