(3/5+1/5)+(2/3-12/17)-(1/5+5/17)简便运算
(3+9/5-2/3)×(1/6+1/9+1/12)-(1/6-1/9+1/12)×3+(1/6+1/9+1/12)×(2/3-5/9)...
(3+9/5-2/3)×(1/6+1/9+1/12)-(1/6-1/9+1/12)×3+(1/6+1/9+1/12)×(2/3-5/9)
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(3/5+1/5)+(2/3-12/17)-(1/5+5/17)
=(3/5+1/5-1/5)+2/3-(12/17+5/17)
=3/5+2/3-1
=4/15
(3+9/5-2/3)×(1/6+1/9+1/12)-(1/6-1/9+1/12)×3+(1/6+1/9+1/12)×(2/3-5/9)
=(3+9/5-2/3+2/3-5/9)×(1/6+1/9+1/12)-(1/6-1/9+1/12)×3
=3×(1/6+1/9+1/12)-(1/6-1/9+1/12)×3
=3×(1/6+1/9+1/12-1/6+1/9-1/12)
=3×2/9
=2/3
=(3/5+1/5-1/5)+2/3-(12/17+5/17)
=3/5+2/3-1
=4/15
(3+9/5-2/3)×(1/6+1/9+1/12)-(1/6-1/9+1/12)×3+(1/6+1/9+1/12)×(2/3-5/9)
=(3+9/5-2/3+2/3-5/9)×(1/6+1/9+1/12)-(1/6-1/9+1/12)×3
=3×(1/6+1/9+1/12)-(1/6-1/9+1/12)×3
=3×(1/6+1/9+1/12-1/6+1/9-1/12)
=3×2/9
=2/3
追问
寻找6个质数,使他们的和是18,且将这六个质数填入下图中,使每个三角形上的三个数的和都相等。
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连线我不画了,求解
追答
是不同的质数,还是相同的质数??
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