Express 4/13 as a continued fraction

In decimal terms, = 0.30769230769231

Start | Integer | Decimal Portion Start - Integer | Reciprocal: 1 ÷ Decimal |
---|---|---|---|

0.30769230769231 | 0 | 0.308 | 3.2468 |

3.2468 | 3 | 0.247 | 4.0486 |

4.0486 | 4 | 0.049 | 20.4082 |

20.4082 | 20 | 0.408 | 2.451 |

2.451 | 2 | 0.451 | 2.2173 |

2.2173 | 2 | 0.217 | 4.6083 |

4.6083 | 4 | 0.608 | 1.6447 |

1.6447 | 1 | 0.645 | 1.5504 |

1.5504 | 1 | 0.55 | 1.8182 |

1.8182 | 1 | 0.818 | 1.2225 |

1.2225 | 1 | 0.223 | 4.4843 |

4.4843 | 4 | 0.484 | 2.0661 |

2.0661 | 2 | 0.066 | 15.1515 |

15.1515 | 15 | 0.152 | 6.5789 |

6.5789 | 6 | 0.579 | 1.7271 |

1.7271 | 1 | 0.727 | 1.3755 |

1.3755 | 1 | 0.376 | 2.6596 |

2.6596 | 2 | 0.66 | 1.5152 |

1.5152 | 1 | 0.515 | 1.9417 |

1.9417 | 1 | 0.942 | 1.0616 |

1.0616 | 1 | 0.062 | 16.129 |

16.129 | 16 | 0.129 | 7.7519 |

7.7519 | 7 | 0.752 | 1.3298 |

1.3298 | 1 | 0.33 | 3.0303 |

3.0303 | 3 | 0.03 | 33.3333 |

33.3333 | 33 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

3.003 | 3 | 0.003 | 333.3333 |

333.3333 | 333 | 0.333 | 3.003 |

Use the Integer Column

[0; 3, 4, 20, 2, 2, 4, 1, 1, 1, 1, 4, 2, 15, 6, 1, 1, 2, 1, 1, 1, 16, 7, 1, 3, 33, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333]

[0; 3, 4, 20, 2, 2, 4, 1, 1, 1, 1, 4, 2, 15, 6, 1, 1, 2, 1, 1, 1, 16, 7, 1, 3, 33, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333]

Free Continued Fraction Calculator - Shows the continued fraction for a fraction

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Decimal Portion = Start - Integer

Reciprocal = 1 / Decimal Portion

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Reciprocal = 1 / Decimal Portion

For more math formulas, check out our Formula Dossier

- continued fraction
- a fraction whose numerator is an integer and whose denominator is an integer plus a fraction whose numerator is an integer and whose denominator is an integer plus a fraction and so on
- decimal
- Number in the form a/b where the result is not a whole number
- fraction
- how many parts of a certain size exist

a/b where a is the numerator and b is the denominator - integer
- a whole number; a number that is not a fraction

...,-5,-4,-3,-2,-1,0,1,2,3,4,5,...

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- Continued Fraction 15/16

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