2/17+505/1717+101010/171717

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2/17+505/1717+101010/171717

2/17+505/1717+101010/171717
=2/17+(5*101)/(17*101)+(10101*10)/(10101*17)
=2/17+5/17+10/17
=17/17
=1

505/1717 约分=5/17
10101/171717 约分=1/17
2/17+5/17+1/17=8/17

2/17上下都乘以
10101010101
505/1717上写都乘以
100010001
101010/171717上下都乘以
1000001

【(2*10101010101)+(505*100010001)+(101010*1000001)】/171717171717=(20202020202+v50505050505+1010101...

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2/17上下都乘以
10101010101
505/1717上写都乘以
100010001
101010/171717上下都乘以
1000001

【(2*10101010101)+(505*100010001)+(101010*1000001)】/171717171717=(20202020202+v50505050505+101010101010)/171717171717=171717171717/171717171717=1
不过这种题看了就应该是1
这么做太麻烦了也有点
睡那么变态出这题啊

收起

以X来代替17,看起来简单一些
2/17+505/1717+101010/171717
=2/X+505/(100X+X)+101010/(10000X+100X+X)
=2/X+505/X(100+1)+101010/X(10000+100+1)
=2/X+5/X+10/X
=17/X 因为X=17
=1

2/17+505/1717+101010/171717
=2/17+5*101/(17*101)+10101*10/(17*10101)
=2/17+5/17+10/17
=1