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第197题:汤姆约分法



汤姆在82题时发现了两位数的巧合


1664\dfrac{16}{64} =1664=\dfrac{1 \bcancel{6}}{\bcancel{6} 4}  =14=\dfrac{1}{4}


2665\dfrac{26}{65} =2665=\dfrac{2 \bcancel{6}}{\bcancel{6} 5}  =25=\dfrac{2}{5}


1995\dfrac{19}{95} =1995=\dfrac{1 \bcancel{9}}{\bcancel{9} 5} =15=\dfrac{1}{5}


现在他又发现几个三位数的巧合


199995\dfrac{199}{995} =199995=\dfrac{1 \bcancel{9} \bcancel{9}}{\bcancel{9} \bcancel{9} 5}  =15=\dfrac{1}{5}


266665\dfrac{266}{665} =166665=\dfrac{1 \bcancel{6} \bcancel{6}}{\bcancel{6} \bcancel{6} 5} =25=\dfrac{2}{5}


124217\dfrac{124}{217} =124217=\dfrac{\bcancel{1} \bcancel{2} 4}{\bcancel{2} \bcancel{1} 7} =47 =\dfrac{4}{7}


127762\dfrac{127}{762} =127762=\dfrac{1 \bcancel{2} \bcancel{7}}{\bcancel{7} 6 \bcancel{2} }  =16 =\dfrac{1}{6}


那么,请你算算,499998\dfrac{499}{998} 2666666665\dfrac{26666}{66665}1999999995\dfrac{19999}{99995} 也有此巧合吗?


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