\frac{1}{668}
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Calculate the product $\left(\frac{3}{6}\right)\left(\frac{6}{9}\right)\left(\frac{9}{12}\right)\cdots\left(\frac{2001}{2004}\right)$. Express your answer as a common fraction.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{1}{668}
Calculate the product $\left(\frac{3}{6}\right)\left(\frac{6}{9}\right)\left(\frac{9}{12}\right)\cdots\left(\frac{2001}{2004}\right)$. Express your answer as a common fraction.
train