# 214/7

Input |
---|

214/7 |

Exact result |

214/7 (irreducible) |

Decimal approximation |

30.57142857142857142857142857142857142857142857142857142857… |

Repeating decimal |

30.571428^_ (period 6) |

Mixed fraction |

30 4/7 |

Quotient and remainder |

30×7 + 4 |

Prime factorization |

2×7^(-1)×107 |

Continued fraction |

[30; 1, 1, 3] |

Egyptian fraction expansion |

30 + 1/2 + 1/14 |

Occurrence in convergents |

(45 e)/4~~30, 31, 61/2, 153/5, 214/7, 367/12, 948/31, … (simple continued fraction convergent sequence) |