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.
|Publication status||Published - Sept 2012|