A board is 73 inches long. How long is it in feet and inches?
The correct answer and explanation is:
To convert 73 inches to feet and inches, start by recognizing that there are 12 inches in a foot. This means that for every 12 inches, you can count as one foot. To find how many feet are in 73 inches, divide 73 by 12: 73÷12=6 feet with a remainder of 1 inch73 \div 12 = 6 \, \text{feet with a remainder of} \, 1 \, \text{inch}
So, 73 inches equals 6 feet and 1 inch.
Here’s a step-by-step breakdown of the conversion:
- Divide 73 by 12: This gives 6 with a remainder of 1.
- Interpret the result: The quotient (6) represents the number of whole feet, and the remainder (1) represents the remaining inches.
- Final Answer: 73 inches is equal to 6 feet and 1 inch.
It’s important to understand that when converting inches to feet and inches, the whole number from the division gives the feet, and the leftover part (the remainder) is the inches. The basic conversion between inches and feet is rooted in the fact that 1 foot equals 12 inches, so dividing by 12 gives the number of full feet, while the remainder gives the extra inches.
This method works for any length in inches. If the number of inches was larger, you could simply continue dividing by 12 to convert it into feet and inches.