### Abstract

It is time-consuming to convert a fraction whose denominator has two or more digits into a decimal by hand calculation. In this article we present two efficient conversion methods due to A. C. Aitken. One method applies to fractions of the form x = 1/(k x 10ⁿ - 1) while the other applies to x = 1/(k x 10ⁿ + 1), where k is a single-digit number. Aitken’s methods outdo the traditional method as they involve only successive division by the single-digit number k. Copyright © 2012 Applied Probability Trust.

Original language | English |
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Pages (from-to) | 34-37 |

Journal | Mathematical spectrum |

Volume | 45 |

Issue number | 1 |

Publication status | Published - Sep 2012 |

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Digit

Denominator

Convert

Division