Answer:
5 [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
To get how much of the board remained, we simply subtract the length Emmet cut from the initial length of the board
Initial length of the board = 8
Length cut out = 2 [tex]\frac{1}{3}[/tex]
= [tex]\frac{7}{3}[/tex]
Length of board remained = Initial length of board - Length cut out
= 8 - [tex]\frac{7}{3}[/tex]
= [tex]\frac{24-7}{3}[/tex]
=[tex]\frac{17}{3}[/tex]
= 5 [tex]\frac{2}{3}[/tex]
Therefore the length of the board remained is 5 [tex]\frac{2}{3}[/tex] feet