To find out how much shampoo Christina used in one day, you can divide the total amount of shampoo she used by the number of days.
First, convert the mixed number \(1 \frac{5}{8}\) to an improper fraction:
\[ 1 \frac{5}{8} = \frac{8 \times 1 + 5}{8} = \frac{8 + 5}{8} = \frac{13}{8} \]
Now, since she used \(\frac{13}{8}\) cups of shampoo over 13 days, we can divide this amount by 13 to find out how much she used in one day:
\[ \text{Amount used in one day} = \frac{\frac{13}{8}}{13} = \frac{13}{8} \times \frac{1}{13} = \frac{13}{104} \]
Now simplify \(\frac{13}{104}\):
\[ \frac{13}{104} = \frac{1}{8} \]
Thus, Christina used \(\frac{1}{8}\) cups of shampoo to wash her hair in one day.