Question

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. How long was the board?

Answer 1

3+2+1=6, 1/6+5//6=1, 1+6=7. 7+5/6= 7 5/6 feet.

Answer 2

`7(5)/(6)\text{ ft}`

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.

`\text{Total length of the board}=2(5)/(6)+3(1)/(6)+1(5)/(6)`

`\text{Total length of the board}=(17)/(6)+(19)/(6)+(11)/(6)`

`\text{Total length of the board}=(17+19+11)/(6)`

`\text{Total length of the board}=(47)/(6)`

`\text{Total length of the board}=7(5)/(6)`

Therefore, the board is
`7(5)/(6)\text{ ft}` long.