化简:1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9+1/9*10_数学解答

化简:1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9+1/9*10

人气：495 ℃　时间：2019-11-19 05:08:45

解答

=(1-1/2)+(1/2-1/3)+.+(1/9-1/10)
=1-1/2+1/2-1/3+1/3-...-1/9+1/9-1/10
=1-1/10
=9/10