1×2∕1﹢2×3∕1﹢3×4∕1﹢4×5∕1﹢5×6∕1﹢6×7∕1﹦?

写出过程。
2025-05-20 09:58:06
推荐回答(1个)
回答1:

1×2∕1   我的理解为:(1x2)分之1,则此题解如下:
1/(1x2)+1/(2x3)+1/(3x4)+1/(4x5)+1/(5x6)+1/(6x7) 注: / 为分数线,分子在前,分母在后
=1/1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7
=1-1/7
=6/7