Answer:
[tex]4\frac{17}{24}[/tex] feet
Step-by-step explanation:
Total length of the board = [tex]7\frac{1}{3}=\frac{22}{3}[/tex] feet
Length of board that is removed from the larger board = [tex]2\frac{5}{8}=\frac{21}{8}[/tex]
When a smaller board is removed, the length of the remaining board can be calculated using subtraction as:
Remaining Length of board = Total Length - Length of smaller board
= [tex]\frac{22}{3}-\frac{21}{8}\\\\\text{Taking LCM, which is 24}\\\\ =\frac{8(22)-3(21)}{24}\\\\ =\frac{113}{24}\\\\ =4\frac{17}{24}[/tex]
This means [tex]4\frac{17}{24}[/tex] feet of board remains after removing the smaller board from it.
