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# fractional part

The *fractional part* of a nonnegative real number is the part of the number that appears after the decimal point. For example, the fractional part of $\frac{7}{3}$ is $\frac{1}{3}$.

To be more precise, for $x\in\mathbb{R}$ with $x\geq 0$, the fractional part of $x$, denoted as $\{x\}$, is given by $\{x\}=x-[x]$, where $[x]$ denotes the integer part of $x$.

Related:

IntegerPart

Type of Math Object:

Definition

Major Section:

Reference

## Mathematics Subject Classification

11-00*no label found*26A09

*no label found*

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## Comments

## inconsistency of definition of fractional part of negative n...

I have not defined the fractional part of a negative number in this entry because it is not standardized. For more information, see:

http://mathworld.wolfram.com/FractionalPart.html