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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:
\(A=\frac{2003\times2004-1}{2003\times2004}=\frac{2003\times2004}{2003\times2004}-\frac{1}{2003\times2004}=1-\frac{1}{2003\times2004}\)
\(B=\frac{2004\times2005-1}{2004\times2005}=\frac{2004\times2005}{2004\times2005}-\frac{1}{2004\times2005}=1-\frac{1}{2004\times2005}\)
Vì \(\frac{1}{2003\times2004}>\frac{1}{2004\times2005}\Rightarrow A< B\)
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 :)
\(\dfrac{2003x1999-2003x999}{2004x999+1004}\)
\(=\dfrac{2003x\left(1999-999\right)}{2004x\left(1000-1\right)+1004}\)
\(=\dfrac{2003x1000}{2004x1000-2004+1004}\)
\(=\dfrac{2003x1000}{2004x1000-1000}\)
\(=\dfrac{2003x1000}{\left(2004-1\right)x1000}\)
\(=\dfrac{2003x1000}{2003x1000}=1\)
bn mún tìm j vậy
nhìn đề bài mình ko hỉu
bn ak
2003/2004