1/2+1/6+1/12+1/24+1/48+1/56
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1/2+1/6+1/12+1/24+1/48+1/56
=1-½+½-1/3+1/3-¼+1/8-1/12+1/12-1/16+1/7-1/8
=1+(-½+½)+(-1/3+1/3)-¼+(1/8-1/8)+(-1/12+1/12)-1/16+1/7
=1+0+0-¼+0+0-1/16+1/7
=¾-1/16+1/7
=11/16+1/7
=93/112
=1-½+½-1/3+1/3-¼+1/8-1/12+1/12-1/16+1/7-1/8
=1+(-½+½)+(-1/3+1/3)-¼+(1/8-1/8)+(-1/12+1/12)-1/16+1/7
=1+0+0-¼+0+0-1/16+1/7
=¾-1/16+1/7
=11/16+1/7
=93/112
追问
1+(-½+½)+(-1/3+1/3)-¼+(1/8-1/8)+(-1/12+1/12)-1/16+1/7
括号里的-有什么用?
追答
每个括号里都是一对相反数。
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