What is the value of $x$ if $|x-1| = |x-2|$? Express your answer as a common fraction.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the value of $x$ if $|x-1| = |x-2|$? 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{3}{2}
What is the value of $x$ if $|x-1| = |x-2|$? Express your answer as a common fraction.
train