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
[tex]2\frac{1}{2}\text{ = }\frac{4}{2}+\frac{1}{2}\text{ = }\frac{5}{2}[/tex]
On the other hand, 3 and a third weeks can be seen as 10/ weeks, just as follows:
[tex]3\frac{1}{3}\text{ = }\frac{9}{3}+\frac{1}{3}=\text{ }\frac{10}{3}[/tex]
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?"
[tex]\begin{gathered} 10/3\text{ --> 5/2} \\ 1\text{ --> x} \end{gathered}[/tex]
With that, we proceed with the division:
[tex]\frac{\frac{5}{2}}{\frac{10}{3}}\text{ = }\frac{15}{20}\text{ = }\frac{3}{4}[/tex]
That means that Bailey reads 3/4 books per week
