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1, 2006 x 2005 - 1/2004 x 2006 + 2005 = 4411,202002
2,18 x (19191919/21212121 + 88888/99999) = 3,91015873
k mk nha pạn
mk nhanh nhất
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\(\frac{2006x2005-1}{2004x2006+2005}\)
=\(\frac{2005-1}{2004+2005}\)
=\(\frac{2004}{4009}\)
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a) \(\frac{2004}{2005}=1-\frac{1}{2005}\);\(\frac{2005}{2006}=1-\frac{1}{2006}\)
Vì \(\frac{1}{2005}>\frac{1}{2006}\)=>\(1-\frac{1}{2005}< 1-\frac{1}{2006}\)=>\(\frac{2004}{2005}< \frac{2005}{2006}\)
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Ta có:
2006x2005-1/2004x2006+2005 = 2006x(2004+1)-1 / 2004x2006+2005
= 2006x2004 + 2006 -1 / 2004x2006+2005
= 2006x2004+2005 / 2004x2006+2005
= 1
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2006*2005-1/2004*2006+2005
=4022030 - 168/167 + 2005
=4022028,994 + 2005
=4024033 , 994
2006*2005-1/2004*2006+2005
=2006*2005-1/(2005-1)*2006+2005
=2006*2005-1/2005*2006-2006+2005
=2006*2005-1/2005*2006-1
=1
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\(=\frac{2006x\left(2004+1\right)-1}{2004x2006+2005}=\frac{2006x2004+2005}{2004x2006+2005}=1\)
\(=\frac{2006\cdot2004+2006.1-1}{2004\cdot2006+2005}\)
\(=\frac{2006\cdot2004+2006-1}{2004\cdot2006+2005}\)
\(=\frac{2006\cdot2004+2005}{2004\cdot2006+2005}\)
\(\Rightarrow1\)
2005x2006-1
=4022030-1
=4022029
2006x2004+2005
=4020024+2005
=4022029
2005x2006-1
=4022030-1
=4022029
2006x2004+2005
=4020024+2005
=4022029
Vì 4022029=4022029 nên 2005x2006-1 = 2006x2004+2005