Answer:
Max need to run
around the track.
Explanation:
Given:
Total Miles of the track season =
![5(1)/(2)\ miles](https://img.qammunity.org/2021/formulas/mathematics/high-school/25imml071208irqwi5dr95kahnmk826ste.png)
Now we know that
can be Rewritten as
![(11)/(2)\ miles](https://img.qammunity.org/2021/formulas/mathematics/high-school/yog5lvvsyhnl6l1hqi8yka6ddtjhpuce3h.png)
Length around the track =
![(3)/(4)\ miles](https://img.qammunity.org/2021/formulas/mathematics/high-school/i72l746qmek1shlz8d75m2hxf37h4n9rxv.png)
We need to find number of laps does max need to run around the track.
Now number of laps can be calculated by dividing Total Miles of the track season with Length around the track.
framing in equation form we get;
number of laps =
![((11)/(2))/((3)/(4)) = (11)/(2)* (4)/(3)= (22)/(3) \ laps \ \ \ OR \ \ \ \ 7 (1)/(3)\ laps](https://img.qammunity.org/2021/formulas/mathematics/high-school/8jwppjggirc9vd9r99a1vv6tjt3w2ktvmv.png)
Hence Max need to run
around the track.