999*1/2+999*1/6+999*1/12+999*1/20+999*1/30=?
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999*1/2+999*1/6+999*1/12+999*1/20+999*1/30
=999+(1/2)+999+(1/6)+999+(1/12)+999+(1/20)+999+(1/30)
= 999×5 + (1/2)+(1/6)+(1/12)+(1/20)+(1/30)
= 4995 + (30+10+5+3+2)/60
=4995 + 5/6
=4995*5/6
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