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5/14+5/84+5/204+5/374+5/594+5/864=?

题目详情
5/14+5/84+5/204+5/374+5/594+5/864=?
▼优质解答
答案和解析
5/14+5/84+5/204+5/374+5/594+5/864 =(5/14+5/14*6)+(5/17*12+5/17*22)+5/594+5/864 =(1+1/6)*5/14+(1/12+1/22)*5/17+5/594+5/864 =5/12+5/6*22+5/27*22+5/864 =5/12+(1/6+1/27)*5/22+5/864 =5/12+5/4*27+5/32*27 =5/12+(1/4+1/32)*5/27 =5/12+5/96 =45/96 =15/32
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