计算:1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/02 06:15:19
计算:1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9

计算:1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9
计算:1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9

计算:1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9
1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9
=1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9
=1/3-1/9
=2/9

拆分1/3*4=1/3-1/4
原式=1/3-1/4+1/4-1/5.....-1/9=2/9

将乘积项拆开得到:
原式等于1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9
=1/3-1/9
=2/9