Caleb has a piece of wood that is 156 inches long. He wants to cut the wood into 2 3/4 -foot sections. How many whole 2 3/4 -foot sections can Caleb cut?
A
57
B
56
C
5
D
4
How many inches are in 2 3/4 feet? Divide 156 inches by that number. Or figure out how many feet comprise 156 inches (divide 156 by 12), then divide by 2.75.
First, we need to convert 2 3/4 feet into inches.
There are 12 inches in 1 foot, so 2 3/4 feet is equal to 2.75 feet.
To convert feet into inches, we can multiply 2.75 by 12:
2.75 feet * 12 inches/foot = 33 inches
Now, we can calculate how many 2 3/4 -foot sections can be cut from a piece of wood that is 156 inches long.
156 inches / 33 inches/section = 4.72 sections
Since we can only have whole sections, Caleb can cut 4 whole 2 3/4 -foot sections.
Therefore, the answer is D. 4
To find the answer, we need to convert the 2 3/4 -foot sections into inches to match the length of the wood.
First, we need to convert 2 3/4 feet to inches. There are 12 inches in a foot, so we can calculate:
2 3/4 feet * 12 inches/foot = (2 * 12) + 3 = 27 inches
Now, we know that Caleb wants to cut the wood into 27-inch sections.
Next, we divide the total length of the wood, which is 156 inches, by the length of each section, which is 27 inches:
156 inches / 27 inches = 5 with a remainder
The quotient of 5 means that Caleb can cut 5 whole 27-inch sections from the wood. However, there is a remainder of 21 inches, which is not enough to make another whole section.
Therefore, Caleb can cut 5 whole 2 3/4 -foot sections from the wood.
So, the answer to the question is C) 5.