Certainly! Let’s go through the problem step by step.
1. Distance Jaimie ran on Monday:
Jaimie ran [tex]\(3 \frac{1}{2}\)[/tex] miles on Monday. This fraction [tex]\(3 \frac{1}{2}\)[/tex] can be converted into a decimal for simplicity:
[tex]\[
3 \frac{1}{2} = 3 + \frac{1}{2} = 3 + 0.5 = 3.5 \text{ miles}
\][/tex]
2. Distance Jaimie ran on Tuesday:
The problem states that Jaimie ran half as far on Tuesday as she did on Monday. So, we need to find half of the distance she ran on Monday:
[tex]\[
\frac{1}{2} \times 3.5 \text{ miles} = 1.75 \text{ miles}
\][/tex]
3. Total distance Jaimie ran on Monday and Tuesday:
To find the total distance she ran over both days, we simply add the distances from Monday and Tuesday:
[tex]\[
\text{Total distance} = 3.5 \text{ miles} + 1.75 \text{ miles} = 5.25 \text{ miles}
\][/tex]
Therefore, Jaimie ran a total of [tex]\(5.25\)[/tex] miles on Monday and Tuesday.
