Verified Answer :

2 1/3+2 1/3 =4 2/3
8-4 2/3 is 3 1/3.
3 1/3 is your answer.

Answer:

  5 \(\frac{2}{3}\)

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 \(\frac{1}{3}\)

                         = \(\frac{7}{3}\)

                         

Length of board remained = Initial length of board - Length cut out

                                            = 8 - \(\frac{7}{3}\)

           

                                             = \(\frac{24-7}{3}\)

                                             =\(\frac{17}{3}\)

                                          = 5 \(\frac{2}{3}\)

Therefore the length of the board remained  is 5 \(\frac{2}{3}\) feet