# fractional part

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

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

The name “fractional part” is somewhat of a misnomer: To the novice, the name may seem to imply that the result must be a fraction (and therefore rational), which is not the case. For example, $\{\pi \}=\pi -3$, which is not rational.

Title | fractional part |
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Canonical name | FractionalPart |

Date of creation | 2013-03-22 16:14:13 |

Last modified on | 2013-03-22 16:14:13 |

Owner | Wkbj79 (1863) |

Last modified by | Wkbj79 (1863) |

Numerical id | 7 |

Author | Wkbj79 (1863) |

Entry type | Definition |

Classification | msc 11-00 |

Classification | msc 26A09 |

Related topic | IntegerPart |