简便运算:1/2+(-1/6)+(-1/12)+(-1/20)+(-1/30)+(-1/42)=?
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简便运算:1/2+(-1/6)+(-1/12)+(-1/20)+(-1/30)+(-1/42)=?
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![简便运算:1/2+(-1/6)+(-1/12)+(-1/20)+(-1/30)+(-1/42)=?](/uploads/image/z/3181790-38-0.jpg?t=%E7%AE%80%E4%BE%BF%E8%BF%90%E7%AE%97%EF%BC%9A1%2F2%2B%EF%BC%88-1%2F6%EF%BC%89%2B%28-1%2F12%29%2B%EF%BC%88-1%2F20%29%2B%28-1%2F30%29%2B%28-1%2F42%29%3D%3F)
1/2+(-1/6)+(-1/12)+(-1/20)+(-1/30)+(-1/42)
=1/2+(1/3-1/2)+(1/4-1/3)+(1/5-1/4)+(1/6-1/5)+(1/7-1/6)
=1/2+1/3-1/2+1/4-1/3+1/5-1/4+1/6-1/5+1/7-1/6
=1/7
=1/2+(1/3-1/2)+(1/4-1/3)+(1/5-1/4)+(1/6-1/5)+(1/7-1/6)
=1/2+1/3-1/2+1/4-1/3+1/5-1/4+1/6-1/5+1/7-1/6
=1/7
简便运算:1/2+(-1/6)+(-1/12)+(-1/20)+(-1/30)+(-1/42)=?
1/2+1/6+1/12+1/20+1/30+1/42(简便运算)
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