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=1/5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

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