A carpenter is building a gate that will be 3-1/4 feet wide. The gate will be made of boards 3 inches wide. How many pieces of board will it take to fit across the front of the gate?
To find out how many pieces of board will it take to fit across the front of the gate, we need to convert the measurements to the same units.
First, let's convert 3-1/4 feet to inches. Since there are 12 inches in 1 foot, 3-1/4 feet can be written as 3 * 12 + 1 = 37 inches wide gate.
Now, we need to divide the width of the gate by the width of each board, which is 3 inches.
37 inches / 3 inches = 12 remainder 1
So, it will take 12 full boards and 1 leftover piece to fit across the front of the gate.