Answer Within A Minute III

Algebra Level 1

\[\frac{1}{3} \times \frac{3}{5} \times \frac{5}{7} \times \frac{7}{9} \times \frac{9}{11} \times \cdots \times \frac{47}{49} \]

If the value of the expression above equals \( \frac ab \) for coprime positive integers \(a\) and \(b\), find the value of \(a+b\).