1/6加1/12加1/20加1/30加1/42加1/56加1/72加1/90怎样简算?

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1/6加1/12加1/20加1/30加1/42加1/56加1/72加1/90怎样简算?1/6加1/12加1/20加1/30加1/42加1/56加1/72加1/90怎样简算?1/6加1/12加1/20加

1/6加1/12加1/20加1/30加1/42加1/56加1/72加1/90怎样简算?
1/6加1/12加1/20加1/30加1/42加1/56加1/72加1/90怎样简算?

1/6加1/12加1/20加1/30加1/42加1/56加1/72加1/90怎样简算?
1/6=(1/2)*(1/3),
1/12=(1/3)*(1/4),
1/20=(1/4)*(1/5),
1/30=(1/5)*(1/6),
1/42=(1/6)*(1/7),
1/56=(1/7)*(1/8),
1/72=(1/8)*(1/9),
1/90=(1/9)*(1/10),
然后再两项合并同类项,然后继续相加.