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1/12+1/20+1/30+1/42=?

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1/12+1/20+1/30+1/42=?
简便计算,
1/12+1/20+1/30+1/42=?
1/12+1/20+1/30+1/42
=(1/3-1/4)+(1/4-1/5)+(1/5-1/6)+(1/6-1/7)
=1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7
=1/3-(1/4-1/4)-(1/5-1/5)-(1/6-1/6)-1/7
=1/3-1/7
=4/21