Question

đề bài : so sánh

2003x2004-1/2003x2004 với 2004x2005-1/2004x2005

Answer 1

ta có: \(\frac{2003\times2004-1}{2003\times2004}=\frac{2003\times2004}{2003\times2004}-\frac{1}{2003\times2004}=1-\frac{1}{2003\times2004}\)

\(\frac{2004\times2005-1}{2004\times2005}=\frac{2004\times2005}{2004\times2005}-\frac{1}{2004\times2005}=1-\frac{1}{2004\times2005}\)

ta có: \(\frac{1}{2003\times2004}>\frac{1}{2004\times2005}\Rightarrow1-\frac{1}{2003\times2004}<1-\frac{1}{2004\times2005}\)

\(\frac{2003\times2004-1}{2003\times2004}<\frac{2004\times2005-1}{2004\times2005}\)