Maura collected \( 2 \frac{1}{5} \) bags of clothes. To work with this number, we can convert it to an improper fraction.
First, convert \( 2 \frac{1}{5} \) to an improper fraction: \[ 2 \frac{1}{5} = \frac{2 \times 5 + 1}{5} = \frac{10 + 1}{5} = \frac{11}{5} \]
Now, we know that Stacy collected \( \frac{1}{2} \) as many clothes as Maura. Thus, we calculate the amount of clothes Stacy collected: \[ \text{Stacy's collection} = \frac{1}{2} \times \frac{11}{5} = \frac{11}{10} \]
Now, \( \frac{11}{10} \) can also be expressed as a mixed number: \[ \frac{11}{10} = 1 \frac{1}{10} \]
Therefore, the number of bags of clothes that Stacy collected is: \[ \boxed{\frac{11}{10}} \] or as a mixed number: \[ \boxed{1 \frac{1}{10}} \]