To determine how many miles Sally ran in total, we need to assess the distances she ran on different days and sum them up. Here's a detailed step-by-step solution:
1. Miles Sally ran on each of the 3 days:
Sally ran [tex]\(2 \frac{1}{5}\)[/tex] miles each day on 3 different days.
- First, convert [tex]\(2 \frac{1}{5}\)[/tex] to an improper fraction or a decimal:
[tex]\[2 \frac{1}{5} = 2 + 0.2 = 2.2\][/tex] miles.
2. Total miles for these 3 days:
Multiply the daily mileage by the number of days:
[tex]\[
3 \times 2.2 = 6.6 \text{ miles}
\][/tex]
3. Miles Sally ran on the other day:
Sally ran [tex]\(1 \frac{1}{5}\)[/tex] miles on another day.
- Convert [tex]\(1 \frac{1}{5}\)[/tex] to an improper fraction or decimal:
[tex]\[1 \frac{1}{5} = 1 + 0.2 = 1.2\][/tex] miles.
4. Total miles Sally ran for the week:
Add the total miles for the 3 days to the miles for 1 day:
[tex]\[
6.6 + 1.2 = 7.8 \text{ miles}
\][/tex]
Now, let's verify if our answer aligns with the provided options. We convert 7.8 back to a mixed number:
[tex]\[
7.8 = 7 \frac{8}{10} = 7 \frac{4}{5}
\][/tex]
Thus, the correct answer is:
[tex]\[
\boxed{7 \frac{4}{5}}
\][/tex]
So, Sally ran [tex]\(7 \frac{4}{5}\)[/tex] miles in total, which corresponds to option D.
