计算1⼀2-1⼀6-1⼀12-1⼀20-1⼀30-1⼀42等于多少?

2025-02-23 22:15:40
推荐回答(1个)
回答1:

1/2-1/6-1/12-1/20-1/30-1/42
=1/2-(1/6+1/12+1/20+1/30+1/42)
=1/2-[1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+1/(6*7)]
=1/2-(1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7)
=1/2-(1/2-1/7)
=1/2-1/2+1/7
=1/7

不懂发消息问我