A board is 112 inches long. How long is it in feet and inches?
The Correct Answer and Explanation is :
To convert a measurement from inches to feet and inches, you first need to know the relationship between these two units: there are 12 inches in a foot.
Given a board that is 112 inches long, you can start the conversion process by dividing the total number of inches by the number of inches per foot:
[
\text{Feet} = \frac{\text{Total Inches}}{12} = \frac{112}{12}
]
Calculating this gives:
[
\text{Feet} = 9.3333 \ldots
]
This tells us that the board is a little more than 9 feet long. To find the exact number of feet, take the whole number part, which is 9 feet.
Next, to find the remaining inches, we take the decimal part (0.3333) and multiply it back by 12 (since there are 12 inches in a foot):
[
\text{Inches} = 0.3333 \times 12 \approx 4
]
Thus, 0.3333 of a foot is approximately 4 inches.
Putting it all together, we find that 112 inches is equal to 9 feet and 4 inches.
To summarize, converting inches to feet and inches involves a simple division to determine how many whole feet fit into the measurement and then calculating the leftover inches. This method is useful in various applications, such as construction or tailoring, where precise measurements are essential. Understanding these conversions can help in visualizing lengths and ensuring that materials fit within specified dimensions. For practical use, such as when buying lumber, knowing that a board is 9 feet 4 inches long can provide a clear and accurate understanding of its size, facilitating better planning and decision-making.