Answer: 6 pieces.
Step-by-step explanation:
Given: The length of the board = \(\dfrac{3}{4}\text{ foot}\)
The length of the pieces =\(\dfrac{1}{8}\text{ foot}\)
Now, to find the number of pieces we need to divide the total length of board by the length of a piece ,
Then the number of pieces James cut from the board is given by:-
\(n=\dfrac{3}{4}\div\dfrac{1}{8}\\\\\Rightarrow\ n=\dfrac{3}{4}\times\dfrac{8}{1}\\\\\Rightarrow\ n= 6\)
Hence, James can cut 6 pieces.