小学六年级奥数计算题在线等

来源:百度知道 编辑:UC知道 时间:2024/06/27 13:55:50
1/8+1/15+1/24+1/35+1/48+1/63+1/80+1/99+1/120+1/143
正确结果是35/104
求过程详解!!

1/8+1/15+1/24+1/35+1/48+1/63+1/80+1/99+1/120+1/143
=1/2×(1/2-1/4)+1/2×(1/3-1/5)+1/2×(1/4-1/6)+1/2×(1/5-1/7)+1/2×(1/6-1/8)+1/2×(1/7-1/9)+1/2×(1/8-1/10)+1/2×(1/9-1/11)+1/2×(1/10-1/12)+1/2×(1/11-1/13)
=1/2×(1/2-1/4+1/3-1/5+1/4-1/6+1/5-1/7+1/6-1/8+1/7-1/9+1/8-1/10+1/9-1/11+1/10-1/12+1/11-1/13)
=1/2×(1/2+1/3-1/12-1/13)
=1/2×(78/156+52/156-13/156-12/156)
=1/2×35/52
=35/104

3楼的 提醒你一下 你的答案和人家提问说的答案不一样啊 不用看就知道错了 你再好好算算吧 哈哈

你也是六年纪的啊!这题我们老师讲过的.

qsmm的回答很正确。

bvnvbn