Fractions and Recurring Decimals

A. Gardiner
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A. Gardiner: University of Birmingham, Department of Mathematics

Chapter Chapter II.9 in Infinite Processes, 1982, pp 100-117 from Springer

Abstract: Abstract Each time we have worked out the infinite decimal corresponding to a fraction, the string of decimal digits has always ended with a repeating block: for example, $$ \begin{array}{*{20}{c}} {1/3 = .\dot{3}} \\ {8/70 = .1\dot{1}4285\dot{7}} \\ {1/13 = .\dot{0}7692\dot{3}} \\ {1/11 = .\dot{0}\dot{9}.} \\ \end{array} $$

Date: 1982
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DOI: 10.1007/978-1-4612-5654-0_11

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