Question

From an 8 foot board, a carpenter sawed off one piece that was 2 3/4 feet long and another piece that was 3 1/2 feet long . How much of the board was left?

Answer 1

After the two cuts, 1 3/4 ft of the board is left.

Answer 2

`1(3)/(4)\text{ feet}`

Explanation:

From the given information, we have

Total length of board = 8 foot

Length of one piece =
`2(3)/(4)=(8+3)/(4)=(11)/(4)`

Length of second piece =
`3(1)/(2)=(6+1)/(2)=(7)/(2)`

We need to find the length of remaining board.

Length of remaining board = Total length of board - Length of one piece - Length of second piece

`\text{Length of remaining board}=8-(11)/(4)-(7)/(2)`

`\text{Length of remaining board}=(32-11-14)/(4)`

`\text{Length of remaining board}=(7)/(4)=1(3)/(4)`

Therefore, the length of remaining board is
`1(3)/(4)\text{ feet}`.