prompt: 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?
messages.content: 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?
messages.role: user
messages.content: 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%
  #### 50
messages.role: assistant