1/6=1/( )+1/( )+1/( )+1/( )+1/( )+1/( ) 在括号里填上非零自然数.1/6=1/( )+1/( )+1/( )+1/( )+1/( )+1/( ) 在括号里填上不相等的非零自然数。要求写出推理过程,如果仅仅填上144,72,

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1/6=1/( )+1/( )+1/( )+1/( )+1/( )+1/( ) 在括号里填上非零自然数.1/6=1/( )+1/( )+1/( )+1/( )+1/( )+1/( ) 在括号里填上不相等的非零自然数。要求写出推理过程,如果仅仅填上144,72,

1/6=1/( )+1/( )+1/( )+1/( )+1/( )+1/( ) 在括号里填上非零自然数.1/6=1/( )+1/( )+1/( )+1/( )+1/( )+1/( ) 在括号里填上不相等的非零自然数。要求写出推理过程,如果仅仅填上144,72,
1/6=1/( )+1/( )+1/( )+1/( )+1/( )+1/( ) 在括号里填上非零自然数.
1/6=1/( )+1/( )+1/( )+1/( )+1/( )+1/( ) 在括号里填上不相等的非零自然数。要求写出推理过程,如果仅仅填上144,72,

1/6=1/( )+1/( )+1/( )+1/( )+1/( )+1/( ) 在括号里填上非零自然数.1/6=1/( )+1/( )+1/( )+1/( )+1/( )+1/( ) 在括号里填上不相等的非零自然数。要求写出推理过程,如果仅仅填上144,72,
楼主其实对这种题可以采用反推的方法,比如要将1/6分成6个相加,则可以考虑把1/6写成10/60,20/120,30/180...等等,然后找分母的约数加起来为10,20,30...这样即可,所以可知当1/6写成30/180时可以分成1/180+2/180+3/180+4/180+5/180+15/180约分后可以得到1/6=1/180+1/90+1/60+1/45+1/36+1/12

全填36

1/6=1/( 12)+1/(24 )+1/(48 )+1/(96 )+1/(192 )+1/(192 )
1/6=1/( 36)+1/(36 )+1/(36 )+1/(36 )+1/(36 )+1/(36 )

如果相等的话,都填上36就行了