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Rationals in Base B, and Period of Repeating Expansion

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Explanations 1

Most people are familiar with the concept of terminating (0.50.50.5) and repeating (0.3‾=0.3333333…0.\overline{3} = 0.3333333\ldots0.3=0.3333333…) decimals. Technically, 0.50.50…
By Jeffery Yu, Victor Wang

Problems 1

Determine the value of 142857+285714+428571+571428142857 + 285714 + 428571 + 571428142857+285714+428571+571428. Source: 2013-2014 Fall Online Math Open