计算:1/6+1/12+1/20+1/30+1/42+1/56+1/72(提示:1/6=1/2X3,1/12=1/3X4,1/20=/14X5)上面提示最后一个打错了,下面是正确的计算:1/6+1/12+1/20+1/30+1/42+1/56+1/72(提示:1/6=1/2X3,1/12=1/3X4,1/20=1/4X5)

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/01 01:16:46
计算:1/6+1/12+1/20+1/30+1/42+1/56+1/72(提示:1/6=1/2X3,1/12=1/3X4,1/20=/14X5)上面提示最后一个打错了,下面是正确的计算:1/6+1/12+1/20+1/30+1/42+1/56+1/72(提示:1/6=1/2X3,1/12=1/3X4,1/20=1/4X5)

计算:1/6+1/12+1/20+1/30+1/42+1/56+1/72(提示:1/6=1/2X3,1/12=1/3X4,1/20=/14X5)上面提示最后一个打错了,下面是正确的计算:1/6+1/12+1/20+1/30+1/42+1/56+1/72(提示:1/6=1/2X3,1/12=1/3X4,1/20=1/4X5)
计算:1/6+1/12+1/20+1/30+1/42+1/56+1/72(提示:1/6=1/2X3,1/12=1/3X4,1/20=/14X5)
上面提示最后一个打错了,下面是正确的
计算:
1/6+1/12+1/20+1/30+1/42+1/56+1/72(提示:1/6=1/2X3,1/12=1/3X4,1/20=1/4X5)

计算:1/6+1/12+1/20+1/30+1/42+1/56+1/72(提示:1/6=1/2X3,1/12=1/3X4,1/20=/14X5)上面提示最后一个打错了,下面是正确的计算:1/6+1/12+1/20+1/30+1/42+1/56+1/72(提示:1/6=1/2X3,1/12=1/3X4,1/20=1/4X5)
那你就拆开呀,这样前后可以约掉,
1/6+1/12+1/20+1/30+1/42+1/56+1/72
=(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)
=1/2-1/9
=7/18

原式=1/2*3+1/3*4+1/4*5+1/6*7+1/7*8+1/8*9
  =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
  =1/2-1/9
  =7/18

1/6+1/12+1/20+1/30+1/42+1/56+1/72
1/6=1/2X3,1/12=1/3X4,1/20=1/4X5.1/30=1/5X6..1/42=1/6X7..1/56=1/7X8..1/72=1/8X9