To determine how much each child will get when they equally share the blackberries, follow these steps:
1. Identify the total amount of blackberries: Simmons bought 2/3 of a pound of blackberries.
2. Identify the number of children to share the blackberries: There are 5 children.
3. Divide the total amount of blackberries by the number of children:
[tex]\[
\text{Amount of blackberries each child will get} = \frac{\frac{2}{3} \text{ pound}}{5 \text{ children}}
\][/tex]
4. Simplify the division:
[tex]\[
\frac{\frac{2}{3}}{5} = \frac{2}{3} \times \frac{1}{5}
\][/tex]
5. Perform the multiplication:
[tex]\[
\frac{2}{3} \times \frac{1}{5} = \frac{2 \times 1}{3 \times 5} = \frac{2}{15}
\][/tex]
So, each child will get [tex]\(\frac{2}{15}\)[/tex] of a pound of blackberries.