1\30+1\42+1\56+1\72+1\90+1\110,简便计算

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1\30+1\42+1\56+1\72+1\90+1\110,简便计算
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1\30+1\42+1\56+1\72+1\90+1\110,简便计算
1\30+1\42+1\56+1\72+1\90+1\110,简便计算

1\30+1\42+1\56+1\72+1\90+1\110,简便计算
1/30=1/5乘以1/6=(6-5)/6成5=1/5-1/6
所以1\30+1\42+1\56+1\72+1\90+1\110
=1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10+1/10-1/11
=1/5-1/11
=6/55

=1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10+1/10-1/11
=1/5-1/11
=6/55

1/30+1/42+1/56+1/72+1/90+1/110
=1/（5*6）+1/（6*7）+1/（7*8）+1/（8*9）+1/（9*10）+1/（10*11）
=1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10+1/10-1/11
=1/5-1/11
=11/55-5/11
=6/11

1/30+1/42+1/56+1/72+1/90 1/30+1/42+1/56+1/72+1/90 1/30+1/42+1/56+1/72 简算 1/30+1/42+1/56+1/72简便算法 1/30+1/42+1/56+1/72＝ 简算1/30+1/42+1/56+1/72＝? 1/30+1/42+1/56+1/72= 30分之1+42分之一+56分之1+72分之一 1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72 1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72 1/12+1/20+1/30+1/42+1/56+1/72+1/90 1/12+1/20+1/30+1/42+1/56+1/72+1/90 1/6+1/12+1/20+1/30+1/42+1/56+1/72 简便计算 1/2+1/6+1/20+1/30+1/42+1/56+1/72等于多少? 1/2+1/6+1/20+1/30+1/42+1/56+1/72等于几? 1/6+1/12+1/20+1/30+1/42+1/56+1/72 1/12+1/20+1/30+1/42+1/56+1/72+1/90=? 1/6+1/12+1/20+1/30+1/42+1/56+1/72=?