To analyze Min's reading, we need to determine how much of his book he has actually read.
According to the information provided:
- Min read \( 18 \) of his book before lunch.
- Min read \( 14 \) of his book after lunch.
This means the total he has read is \( 18 + 14 = 32 \).
Now, regarding the statement "he has read 212 of his book" — this seems like a miscommunication or typographical error because it doesn't make sense contextually to say he has read 212, given he has only read 32 pages in total.
To address the answer choices:
- "212 is a reasonable answer for the fraction of his book Min has read." — This is not accurate as he read only 32 pages.
- "2 over 12 is a reasonable answer for the fraction of his book Min has read." — This would simplify to \( \frac{1}{6} \) which is not relevant and doesn't indicate the fraction of the whole book.
- "212 is not a reasonable answer for the fraction of his book Min has read. The fraction should be closer to 12." — This does not make sense either, as 12 cannot be a valid reading fraction.
- "2 over 12 is not a reasonable answer for the fraction of his book Min has read. The fraction should be closer to 1." — This is misleading, as neither 1 nor \( \frac{1}{6} \) accurately summarizes his reading progress.
Based on the reading of 32 pages, the most accurate response from the set provided would be:
"212 is not a reasonable answer for the fraction of his book Min has read. The fraction should be closer to 1."