巧算:(1/2+1/3)-(1/3+1/4)+(1/4+1/5)-(1/5-1/6)-(1/6+巧算:(1/2+1/3)-(1/3+1/4)+(1/4+1/5)-(1/5-1/6)-(1/6+1/7)-(1/7+1/8)

问题描述:

巧算:(1/2+1/3)-(1/3+1/4)+(1/4+1/5)-(1/5-1/6)-(1/6+
巧算:
(1/2+1/3)-(1/3+1/4)+(1/4+1/5)-(1/5-1/6)-(1/6+1/7)-(1/7+1/8)

(1/2+1/3)-(1/3+1/4)+(1/4+1/5)-(1/5-1/6)-(1/6+1/7)-(1/7+1/8)
=1/2-1/8
=4/8-1/8
=3/8

1/2+(1/3-1/3)+(1/4+1/4)+(1/5-1/5)-(1/6+1/6)+(1/7-1/7)+1/8
=1/2+2/4+2/6+1/8
=12/24+12/24+8/24+3/24
=1又11/24
这是我能想到最简的啊,好像以前也做过相似的呢……望采纳~