THE CENTURY PUZZLE

Can you write `100` in the form of a mixed number, using all the nine digits once, and only once? The late distinguished French mathematician, Edouard Lucas, found seven different ways of doing it, and expressed his doubts as to there being any other ways. As a matter of fact there are just eleven ways and no more. Here is one of them, `91 5742/638`. Nine of the other ways have similarly two figures in the integral part of the number, but the eleventh expression has only one figure there. Can the reader find this last form?


主题:
数论 -> 模算术/余数算术 -> 整除规则 逻辑学 -> 推理/逻辑 算术 -> 分数 组合数学 -> 案例分析/检查案例 -> 过程/程序
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