Given expression

= \( \Large \left(2-\frac{1}{3}\right) \left(2-\frac{3}{5}\right) \left(2-\frac{5}{7}\right).......\left(2-\frac{997}{999}\right) \)

= \( \Large \frac{5}{3} \times \frac{7}{5} \times \frac{9}{7} \times .... \times \frac{1001}{999}

= \frac{1001}{3} \)