Hãy so sánh \(A\) với \(\frac{31}{6}\)biết rằng:\(A=\frac{1}{7}+\frac{1}{4}+\frac{2005}{2006}+\frac{1}{13}+\frac{1}{9}+\frac{2006}{2007}+\frac{1}{25}+\frac{1}{16}+\frac{2007}{2008}+\frac{1}{49}+\frac{1}{25}+\frac{2008}{2005}+\frac{1}{97}+\frac{1}{36}\).