We are given that Elena ran 2 1/2 miles.
First, convert the mixed fraction to proper fraction.
![2(1)/(2)miles=(2\cdot2+1)/(2)=(4+1)/(2)=(5)/(2)miles](https://img.qammunity.org/2023/formulas/mathematics/college/v1d77zfda74rmx5kzf43ynu26l1veyli87.png)
Now we are also given that there are 5,200 feet in 1 mile.
So we can convert the miles into feet as,
![(5)/(2)\cdot(5,200)=13,000](https://img.qammunity.org/2023/formulas/mathematics/college/uuknlr8i116ff1p6vh5mvek6e444kfjii3.png)
Therefore, Elena ran 13,000 feet.
Similarly,
We are also given that there are 12 inches in 1 foot.
So we can convert the feet into inches as,
![13,000\cdot(12)=156,000](https://img.qammunity.org/2023/formulas/mathematics/college/37ndmo81ntw4a5lm4e1fkrkp96h6rwi7f6.png)
Therefore, Elana ran 156,000 inches.
Summary:
2 1