To determine the total distance that Jaimie ran on both Monday and Tuesday, let's break down the problem step by step.
1. Distance Ran on Monday:
- Jaimie ran [tex]\(3 \frac{1}{2}\)[/tex] miles.
- To express this mixed number as an improper fraction or a decimal for ease of calculation, [tex]\(3 \frac{1}{2}\)[/tex] can be converted to [tex]\(3 + \frac{1}{2} = 3.5\)[/tex] miles.
2. Distance Ran on Tuesday:
- We are told that Jaimie ran half the distance on Tuesday as she did on Monday.
- Since she ran 3.5 miles on Monday, the distance on Tuesday would be [tex]\(\frac{1}{2} \times 3.5\)[/tex] which is:
[tex]\[
\frac{1}{2} \times 3.5 = 1.75 \text{ miles.}
\][/tex]
3. Total Distance Ran on Both Days:
- To find the total distance Jaimie ran over these two days, we simply add the distances from Monday and Tuesday.
- The calculation is:
[tex]\[
3.5 \text{ miles on Monday} + 1.75 \text{ miles on Tuesday} = 5.25 \text{ miles.}
\][/tex]
Thus, Jaimie ran a total of 5.25 miles on Monday and Tuesday combined.