(1⼀2-1⼀3)+(1⼀3-1⼀4)+(1⼀4-1⼀5)+(1⼀5-1⼀6)+(1⼀6-1⼀7)+(1⼀7-1⼀8)用简便方法怎么计算

2024-12-19 03:13:51
推荐回答(1个)
回答1:

(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-(1/3-1/3)-(1/4-1/4)-..........-(1/7-1/7)-1/8
=1/2-0-0-..-0-1/8
=1/2-1/8
=3/8