1/18+1/54+1/108+1/180+1/270=?("/"分数线,前面的数是分子)巧算求求你们!!!!!!!!!!!
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拜拖!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!运用巧算!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1!!
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1/18+1/54+1/108+1/180+1/270
=1/18(1+1/3+1/6+1/10+1/15)
=1/18(1+1/3+1/6+1/6)
=1/18(1+1/3+1/3)
=1/18×5/3
=5/54
=1/18(1+1/3+1/6+1/10+1/15)
=1/18(1+1/3+1/6+1/6)
=1/18(1+1/3+1/3)
=1/18×5/3
=5/54
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=1/9(1/2+1/6+1/12+1/20+1/30)
=1/9[(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)]
=1/9(1-1/6)
=1/9*5/6
=5/54
=1/9[(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)]
=1/9(1-1/6)
=1/9*5/6
=5/54
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