1-(1/3-1/6)-(1/6-1/12)-(1/12-1/24)-(1/24-1/48) 计算1-(1/3-1/6)-(1/6-1/12)-(1/12-1/24)-(1/24-1/48)的

来源:百度知道 编辑:UC知道 时间:2024/05/27 17:04:44
简便计算。谢谢
计算1-(1/3-1/6)-(1/6-1/12)-(1/12-1/24)-(1/24-1/48)简便计算。谢谢

1-1/3+1/6-1/6+1/12-1/12+1/24-1/24+1/48
=1-1/3+1/48
=2/3+1/48
=11/16

1-(1/6)-(1/12)-(1/24)-(1/48)
=1-(1/2-1/3)-(1/3-1/4)-(1/4-1/6)-(1/6-1/8)
=1-1/2(-1/3+1/3)(-1/4+1/4)(-1/6+1/6)-1/8
=1/2-1/8
=3/8

去括号,中间各项可以相互取消,只剩首尾两项,1+1/48=49/48