1⼀3+1⼀15+1⼀35+1⼀63+1⼀99,怎样简算

2024-11-23 04:33:32
推荐回答(1个)
回答(1):

1/3+1/15+1/35+1/63+1/99
=1/3+1/2×[(1/3-1/5)+(1/5-1/7)+(1/7-1/9)+(1/9-1/11)]
=1/3+1/2×(1/3-1/11)
=1/3+1/6-1/22
=1/2-1/22
=10/22
=5/11