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

Answer:

$1\dfrac{3}{4}\text{ feet}$

Step-by-step explanation:

From the given information, we have

Total length of board = 8 foot

Length of one piece = $2\dfrac{3}{4}=\dfrac{8+3}{4}=\dfrac{11}{4}$

Length of second piece = $3\dfrac{1}{2}=\dfrac{6+1}{2}=\dfrac{7}{2}$

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

$\text{Length of remaining board}=8-\dfrac{11}{4}-\dfrac{7}{2}$

$\text{Length of remaining board}=\dfrac{32-11-14}{4}$

$\text{Length of remaining board}=\dfrac{7}{4}=1\dfrac{3}{4}$

Therefore, the length of remaining board is $1\dfrac{3}{4}\text{ feet}$.