[tex]1\frac{8}{9}[/tex] pounds of berries did Nate put in each container .
Step-by-step explanation:
Here we have , Nate picked 5 2/3 pounds of berries. He divided them evenly among 3 containers. We need to find How many pounds of berries did Nate put in each container . Let's find out:
Nate picked 5 2/3 pounds of berries . And than he divided these equally among 3 containers , that means one third part of amount of Nate berries is in every container , i.e.
⇒ [tex](5\frac{2}{3})(\frac{1}{3})[/tex]
⇒ [tex](\frac{5(3)+2}{3})(\frac{1}{3})[/tex]
⇒ [tex](\frac{15)+2}{3})(\frac{1}{3})[/tex]
⇒ [tex](\frac{17}{3})(\frac{1}{3})[/tex]
⇒ [tex]\frac{17}{9}[/tex]
⇒ [tex]\frac{9(1)+8}{9}[/tex]
⇒ [tex]1\frac{8}{9}[/tex]
Therefore , [tex]1\frac{8}{9}[/tex] pounds of berries did Nate put in each container .