Answer:
[tex]7\frac{5}{6}\text{ ft}[/tex]
Step-by-step explanation:
We have been given that a carpenter cut a board into three pieces. One piece was 2 5/6 feet long. The second piece was 3 1/6 feet long. The third piece was 1 5/6 feet long.
The total length of the board will be sum of three pieces.
[tex]\text{Total length of the board}=2\frac{5}{6}+3\frac{1}{6}+1\frac{5}{6}[/tex]
[tex]\text{Total length of the board}=\frac{17}{6}+\frac{19}{6}+\frac{11}{6}[/tex]
[tex]\text{Total length of the board}=\frac{17+19+11}{6}[/tex]
[tex]\text{Total length of the board}=\frac{47}{6}[/tex]
[tex]\text{Total length of the board}=7\frac{5}{6}[/tex]
Therefore, the board is [tex]7\frac{5}{6}\text{ ft}[/tex] long.
