To find out how much popcorn each brother will get, you can divide the amount of popcorn Maurice has by the number of brothers, which includes himself.
Maurice has \( \frac{4}{5} \) of a bag of popcorn, and there are 3 brothers.
So we need to calculate:
\[ \text{Amount of popcorn each brother gets} = \frac{4/5}{3} \]
This can also be done by multiplying \( \frac{4}{5} \) by the reciprocal of 3:
\[ \frac{4}{5} \times \frac{1}{3} = \frac{4 \times 1}{5 \times 3} = \frac{4}{15} \]
Thus, each brother will get \( \frac{4}{15} \) of a bag of popcorn.