问题标题:
1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8=?
问题描述:
1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8=?
戴喜生回答:
1/1*2+1/2*3+1/3*4+1/4*5+1/5*6
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6
=1-1/6
=5/6
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