To find the weight of each gumball, we can start by determining the total weight of one bag of gumballs and the number of gumballs in the bag.
A bag contains 10 gumballs and weighs \( \frac{1}{2} \) of a pound.
Now, we divide the total weight of the bag by the number of gumballs in the bag to find the weight of each gumball:
\[ \text{Weight of each gumball} = \frac{\text{Total weight of the bag}}{\text{Number of gumballs}} = \frac{\frac{1}{2} \text{ pound}}{10} \]
This can be calculated as follows:
\[ \text{Weight of each gumball} = \frac{1}{2} \div 10 = \frac{1}{2} \times \frac{1}{10} = \frac{1}{20} \]
Thus, the weight of each gumball is
\[ \frac{1}{20} \text{ pounds}. \]