计算:1⼀3*4+1⼀4*5+1⼀5*6+1⼀6*7+1⼀7*8+1⼀8*9

2024-12-21 23:39:53
推荐回答(3个)
回答1:

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

回答2:

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

回答3:

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