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Converting a Fraction into a Decimal by Hand Calculation.

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Title: Converting a Fraction into a Decimal by Hand Calculation.
Authors: King Shun Leung1
Source: Mathematical Spectrum. 2012/2013, Vol. 45 Issue 1, p34-37. 4p.
Subjects: Fractions, Finger calculation, Division, Arithmetic, Binary operations, Numerical calculations
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 = l/(k x 10n - 1) while the other applies to x = l/(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. [ABSTRACT FROM AUTHOR]
Copyright of Mathematical Spectrum is the property of Applied Probability Trust School of Mathematics & Statistics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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  Data: 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 = l/(k x 10n - 1) while the other applies to x = l/(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. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Mathematical Spectrum is the property of Applied Probability Trust School of Mathematics & Statistics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Text: English
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      – SubjectFull: Division
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              Text: 2012/2013
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