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馃殌 寰幆灏忔暟杞寲涓夋澘鏂э紙浠?.636363...涓轰緥锛?/h3> 鈶?瀹氬€嶆暟

绉诲姩灏忔暟鐐逛娇棣栦釜寰幆鑺傚榻?/strong>锛?br/> 100脳0.636363... = 63.636363...

鈶?娑堝惊鐜?/span>

鍘熷紡涓庣櫨鍊嶅紡鐩稿噺锛?br/> 100x - x = 63.636363... - 0.636363...
鈬?99x = 63

鈶?寰楀垎鏁?/span>

瑙ｆ柟绋嬬珛鍗冲嚭缁撴灉锛?br/> x = 63/99 = 7/11
锛堣寰楃害鍒嗭紒锛?/p>

    
馃摑 鑰冨満鐪熼鐜板鐜扮敤
    
        
銆愬皬鍗囧垵鐪熼銆戝皢3.4121212...鍖栨垚鍒嗘暟
        
            
馃挕 瑙ｉ鎬濊矾鎷嗚В锛?/p>
            
1锔忊儯 鍒嗙鏁存暟閮ㄥ垎锛? + 0.4121212...

            2锔忊儯 澶勭悊绾惊鐜锛氳x=0.4121212...锛屽洜寰幆鑺?浣嶁啋100x=41.212121...

            3锔忊儯 閿欎綅娑堥櫎娉?/strong>锛?00x - x = 41.212121... - 0.412121...

            鈬?99x = 40.8 鈫?x = 40.8/99 = 408/990 = 68/165

            4锔忊儯 鍚堟垚缁撴灉锛? + 68/165 = 563/165