To find out how many loads of laundry Heather can complete with one carton of detergent, you would divide the total ounces of detergent by the amount used per load.
First, convert \(2 \frac{1}{2}\) ounces into an improper fraction:
\[ 2 \frac{1}{2} = \frac{5}{2} \text{ ounces} \]
Now divide the total ounces of detergent by the amount used per load:
\[ \text{Number of loads} = \frac{195 \text{ ounces}}{\frac{5}{2} \text{ ounces per load}} = 195 \text{ ounces} \times \frac{2}{5} \]
Calculating that:
\[ \text{Number of loads} = 195 \times \frac{2}{5} = \frac{390}{5} = 78 \]
So, Heather can complete 78 loads of laundry with one carton of detergent.