A board 5 feet long is cut into two pieces such that the length of one piece is two-thirds of the length of the other piece. Find the length of the shorter piece of board

Let x = longer board.

x + 2/3 x = 5

Solve for x, then 2/3x.

vbm,

To find the length of the shorter piece of board, we can proceed as follows:

Step 1: Let's assume the length of the shorter piece of board as 'x' feet.
Step 2: According to the problem, the length of the other piece of the board is two-thirds of the length of the shorter piece.
Therefore, the length of the longer piece of the board is (2/3) * x = (2x/3) feet.
Step 3: According to the problem, the total length of the board is 5 feet.
Therefore, x + (2x/3) = 5.
Step 4: Multiplying both sides of the equation by 3 to eliminate the fraction, we get 3x + 2x = 15.
Combining like terms, we have 5x = 15.
Step 5: Dividing both sides of the equation by 5, we get x = 3.
So the length of the shorter piece of board is 3 feet.

Therefore, the length of the shorter piece of board is 3 feet.