简便计算下题.1/2-1/3+1/4-1/5+1/6-1/12

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简便计算下题.1/2-1/3+1/4-1/5+1/6-1/12简便计算下题.1/2-1/3+1/4-1/5+1/6-1/12简便计算下题.1/2-1/3+1/4-1/5+1/6-1/121/2-1/3

简便计算下题.1/2-1/3+1/4-1/5+1/6-1/12
简便计算下题.
1/2-1/3+1/4-1/5+1/6-1/12

简便计算下题.1/2-1/3+1/4-1/5+1/6-1/12
1/2-1/3+1/4-1/5+1/6-1/12
=1/2-1/3+1/4-1/5+(1/2-1/3)-(1/3-1/4)
=1/2-1/3+1/4-1/5+1/2-1/3-1/3+1/4
=(1/2+1/2)-(1/3+1/3+1/3)+(1/4+1/4)-1/5
=1-1+1/2-1/5
=5/10-2/10
=3/10