求一道分数的简便算法(1+1/2+1/3+······+1/60)+(2/3+2/4+······+2/60)+(3/4+3/5+······+3/60)+······+(58/59+58/60)+59/60

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求一道分数的简便算法(1+1/2+1/3+······+1/60)+(2/3+2/4+······+2/60)+(3/4+3/5+······+3/60)+······+(58/59+58/60)+59/60
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求一道分数的简便算法(1+1/2+1/3+······+1/60)+(2/3+2/4+······+2/60)+(3/4+3/5+······+3/60)+······+(58/59+58/60)+59/60
求一道分数的简便算法
(1+1/2+1/3+······+1/60)+(2/3+2/4+······+2/60)+(3/4+3/5+······+3/60)+······+(58/59+58/60)+59/60

求一道分数的简便算法(1+1/2+1/3+······+1/60)+(2/3+2/4+······+2/60)+(3/4+3/5+······+3/60)+······+(58/59+58/60)+59/60
1+1/2+(1/3+2/3)+(1/4+2/4+3/4)+(1/5+2/5+3/5+4/5)+...+(1/60+2/60+...+56/60) =1+1/2+1+3/2+4/2+...60/2 =1+(1+60)*60/4 =1+61*15 =1+915=916