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\(B=\frac{2003+2004}{2004+2005}=\frac{2003}{2004+2005}+\frac{2004}{2004+2005}\)
Ta có: \(\frac{2003}{2004}>\frac{2003}{2004+2005}\)
\(\frac{2004}{2005}>\frac{2004}{2004+2005}\)
\(\frac{2003}{2004}+\frac{2004}{2005}>\frac{2003+2004}{2004+2005}\)
\(A>B\)
Vậy A>B
Ta có:
n = \(\frac{2003+2004}{2004+2005}\)
\(=>\) n = \(\frac{2003}{2004+2005}+\frac{2004}{2004+2005}\)
Vì \(\frac{2003}{2004}>\frac{2003}{2004+2005}\)
\(\frac{2004}{2005}>\frac{2004}{2004+2005}\)
\(=>\frac{2003}{2004}+\frac{2004}{2005}>\frac{2003}{2004+2005}+\frac{2004}{2004+2005}\)
\(=>\)m > n
Chúc bạn học tốt :)
Ta có:
\(\frac{2004}{2005}\times\frac{200520052005}{200320032003}\times\frac{20032003}{20042004}\)
\(=\frac{2004}{2005}\times\frac{2005}{2003}\times\frac{2003}{2004}\)
\(=\frac{2004\times2005\times2003}{2005\times2003\times2004}=1\)
Vậy giá trị biểu thức là 1
=2004/2005 x 2005/2003 x 2003/2004
=(2004x2005x2003)/(2005x2003x2004)
=1
\(\text{Ta có: }\): \(\frac{2006}{2008}\text{ x }\frac{2001}{2004}\text{ x }\frac{2008}{2002}\text{ x }\frac{2004}{2006}\text{ x }\frac{1001}{2001}\)
\(=\frac{2006\text{ x }\text{ }2001\text{ x }2008\text{ x }2004\text{ x }1001}{2008\text{ x }2004\text{ x }2002\text{ x }2006\text{ x }2001}\text{ }\)
Rút gọn các số ( 2006 ; 2001 ; 2008 ; 2004) ở cả tử và mẫu ta có:
\(=\frac{1001}{2002}=\frac{1}{2}\)
\(\frac{2006}{2008}\times\frac{2001}{2004}\times\frac{2008}{2002}\times\frac{1001}{2001}\)
\(=\frac{2006\times2001\times2008\times1001}{2008\times2004\times2002\times2001}\)
\(=\frac{1001}{2002}=\frac{1}{2}\)
\(\frac{1999}{2004}+\frac{2001}{2005}+\frac{5}{2004}+\frac{4}{2005}\)
=\(\left(\frac{1999}{2004}+\frac{5}{2004}\right)+\left(\frac{2001}{2005}+\frac{4}{2005}\right)\)
=\(1+1\)
=2
\(\frac{1999}{2004}+\frac{2001}{2005}+\frac{5}{2004}+\frac{4}{2005}\) = \(\frac{1999}{2004}+\frac{5}{2004}+\frac{2001}{2005}+\frac{4}{2005}\)
= \(1+1\)
= \(2\)
Click mik nha !!!!!!!!!!!!!!!!!!!