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Ta có:
\(a=\frac{2013}{2014}=1-\frac{1}{2014}\)
\(b=\frac{2003}{2004}=1-\frac{1}{2004}\)
Vì \(\frac{1}{2014}< \frac{1}{2004}\Rightarrow1-\frac{1}{2014}>1-\frac{1}{2004}\)
Vậy \(a>b\)
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mỗi số hạng trong biểu thức A đều nhỏ hơn 1 mà có 15 số nên tổng A sẽ nhỏ hơn 15
ta thay tong tren <1+1+1+1+1+1+1+1+1+1+1+1+1+1+1
hay tong tren be hon 15
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\(\frac{2013}{2014}\)=\(\frac{2014-1}{2014}\)=\(1-\frac{1}{2014}\)
\(\frac{2003}{2004}=\frac{2004-1}{2004}=1-\frac{1}{2004}\)
\(\frac{1}{2014}< \frac{1}{2004}\)suy ra\(1-\frac{1}{2014}>1-\frac{1}{2004}\)
Nên \(\frac{2013}{2014}>\frac{2003}{2004}\)
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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
bạn ơi bạn ngu vcl lun là>