1/20+1/30+1/42+1/56+1/72等于多少 简便

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1/20+1/30+1/42+1/56+1/72等于多少 简便
1/20+1/30+1/42+1/56+1/72等于多少 简便

1/20+1/30+1/42+1/56+1/72等于多少 简便
1/20+1/30+1/42+1/56+1/72
=1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9
=1/4-1/9
=5/36

1/20=1/4—1/5 1/30=1/5—1/6.......1/72=1/8--1/9
1/20+1/30+1/42+1/56+1/72=1/4—1/9=5/36

1/(4*5)+1/(5*6)+1/(6*7)+1/(7*8)+1/(8*9)=1/4-1/5+1/5-1/6```````1/8-1/9=1/4-1/9=5/36