First add the fractions of vaccinated and recovered townspeople: 1/3 + 1/3 = 2/3

Then you need to subtract the fraction that are both vaccinated and recovered, since they were double-counted.

To do this, start by converting 2/3 to the same denominator as 1/6: 2/3 * 2/2 = 4/6

Then subtract 1/6 from 4/6: 4/6 - 1/6 = 3/6

Then divide the numerator by the denominator and multiply by 100% to express the answer as a percentage: 3/6 * 100% = 50%

# Answer

50
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
1/3 of the townspeople have received the full COVID vaccine. 1/3 are immune because they already recovered from COVID. If 1/6 of the townspeople are both vaccinated and already had COVID, what percent of the town is immune in some way?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
50
1/3 of the townspeople have received the full COVID vaccine. 1/3 are immune because they already recovered from COVID. If 1/6 of the townspeople are both vaccinated and already had COVID, what percent of the town is immune in some way?
train