Please consider voting to reopen the following question: [Does $\mathbb{R}/\mathbb{Q}$ contain a subgroup isomorphic to $\mathbb{Q}$?](https://math.stackexchange.com/questions/4828778/does-mathbbr-mathbbq-contain-a-subgroup-isomorphic-to-mathbbq)

It was closed by a moderator, but I consider it to have met the context standards on this site. The question is completely clear, it doesn't appear to be a routine homework exercise, and the asker has suggested possible strategies for solving the problem. I have also searched for possible duplicates, and I can't find any. I can't see what additional context would improve the question.

[Disclosure: I have answered the question.]