We are given the information that Bailey reads 2 and a half books in 3 and a third weeks.
2 and a half books can be seen as 5/2 books, just as follows

On the other hand, 3 and a third weeks can be seen as 10/ weeks, just as follows:

Next, we just have to use a rule of three, its as follows: "if Bailey read 5/ books in 10/3 weeks, how many books does she reads per week?"

With that, we proceed with the division:

That means that Bailey reads 3/4 books per week