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Note on a Property of Circulating Decimals with an even number of Repeating Figures equivalent to a Vulgar Fraction with a Prime Number as Denominator

Published online by Cambridge University Press:  20 January 2009

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The property is, that if such a decimal has 2k repeating figures, the first k are a1, a2, &c, in order, and the second k are b1, b2, &c, in order, and the a'a and b's are such that

for example,

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1901