<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 A fraction in reduced form is such that when it is squared and then its numerator is reduced by 33 (1/3)% and denominator is reduced to 20%, its result is twice the original fraction. What is the sum of the numerator and denominator of the original fraction? Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
8
A fraction in reduced form is such that when it is squared and then its numerator is reduced by 33 (1/3)% and denominator is reduced to 20%, its result is twice the original fraction. What is the sum of the numerator and denominator of the original fraction?
test