计算:1/2+1/3+2/3+1/4+2/4+3/4+1/5+2/5+3/5+4/5+……+1/6+…+59/60
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1/2+1/3+2/3+1/4+2/4+3/4+1/5+2/5+3/5+4/5+……+1/6+…+59/60
=1/2+(1+2)/3+(1+2+3)/4+...+(1+2+...+59)/60
=1/2+(1+2)*2/(2*3)+(1+3)*3/(2*4)+...+(1+59)*59/(2*60)
=1/2+2/2+3/2+...+59/2
=(1+2+3+...+59)/2
=(1+59)*59/(2*2)
=15*59
=885
=1/2+(1+2)/3+(1+2+3)/4+...+(1+2+...+59)/60
=1/2+(1+2)*2/(2*3)+(1+3)*3/(2*4)+...+(1+59)*59/(2*60)
=1/2+2/2+3/2+...+59/2
=(1+2+3+...+59)/2
=(1+59)*59/(2*2)
=15*59
=885
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