六年级简算！

来源：百度知道 编辑：UC知道 时间：2024/05/22 19:10:46
1/6+1/12+1/20+1/30+1/42+1/56

(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=3/8

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

原式=1/（2*3）+1/(3*4)……
=1/2-1/3+1/3-1/4……1/7-1/8
=1/2-1/8
=3/8

1/6+1/12+1/20+1/30+1/42+1/56
=1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+1/(6*7)+1/(7*8)
=(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+.....+(1/7-1/8)
=1/2-1/3+1/3-1/4+1/4-1/5+.....+1/7-1/8
=1/2-1/8
=3/8

1/6+1/12+1/20+1/30+1/42+1/56=(1/2-1/3)+(1/3-1/4)+
(1/4-1/5)+....+(1/7-1/8)=1/2-1/8=3/8

41/120=0.341667