Express 3/8 as a continued fraction

In decimal terms, = 0.375

Start Number | Integer Number | Decimal Portion = Start - Integer | Reciprocal =1 ÷ Decimal Portion |
---|---|---|---|

0.375 | 0 | 0.375 | 2.6667 |

2.6667 | 2 | 0.667 | 1.4993 |

1.4993 | 1 | 0.499 | 2.004 |

2.004 | 2 | 0.004 | 250 |

250 | 250 | 0 |

We stop when the difference portion = 0, and use the Integer Column for our representation:

Our continued fraction representation is: [0; 2, 1, 2, 250]