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1/2+1/4+1/8+1/16+1/31+1/62+1/124+1/248+1/496 一定要简便计算

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1/2+1/4+1/8+1/16+1/31+1/62+1/124+1/248+1/496 一定要简便计算
1/2+1/4+1/8+1/16+1/31+1/62+1/124+1/248+1/496 一定要简便计算
1/2+1/4+1/8+1/16+1/31+1/62+1/124+1/248+1/496
=(1/2+1/4+1/8+1/16+1/16+1/31+1/62+1/124+1/248+1/496+1/496)-1/496-1/16
=(1/2+1/4+1/8+1/8+1/31+1/62+1/124+1/248+1/248)-1/496-1/16
=(1/2+1/4+1/4+1/31+1/62+1/124+1/124)-1/496-1/16
=(1/2+1/2+1/31+1/62+1/62)-1/496-1/16
=(1+1/31+1/31)-1/496-1/16
=1+2/31-1/496-1/16
=1+(32-1-31)/496
=1
再问: 能解释一下吗,我不怎么懂
再答: 慢慢一步步看,就懂了
再问: 哦,谢谢你
再答: 赞同一下回答呗