1/12+1/23+1/34+1/45+1/56+1/67+1/78+1/89 请帮忙用简便的方法计算,

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1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9请帮忙用简便的方法计算,1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8

1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9 请帮忙用简便的方法计算,
1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9 请帮忙用简便的方法计算,

1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9 请帮忙用简便的方法计算,
1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)+(1/6-1/7)+(1/7-1/8)+(1/8-1/9)
=1-1/9
=8/9