# 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 $$a+b$$.

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