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10/1*2*3*4+18/3*4*5*6+26/5*6*7*8=

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/04/29 03:43:51
10/1*2*3*4+18/3*4*5*6+26/5*6*7*8=
l列项题
10/1*2*3*4=(12-2)/(1×2)(3×4)=3×4/(1×2×3×4)-1×2/(1×2×3×4)=1/(1×2)-1/(3×4)
18/3*4*5*6=(30-12)/3×4×5×6=1/3×4-1/5×6
26/5*6*7*8=(56-30)/5×6×7×8=1/5×6-1/7×8
10/1*2*3*4+18/3*4*5*6+26/5*6*7*8=1/1×2-1/3×4+1/3×4-1/5×6+1/5×6-1/7×8
=1/2-1/56=28/56-1/56=27/56