A street sign is 76 inches tall. How tall is it in feet and inches?
The Correct answer and Explanation is:
To convert 76 inches into feet and inches, we start by knowing the relationship between inches and feet. One foot is equal to 12 inches. Thus, to convert inches to feet, we can use the following formula:Feet=Inches12\text{Feet} = \frac{\text{Inches}}{12}Feet=12Inches
For 76 inches, we divide by 12:Feet=7612≈6.33 feet\text{Feet} = \frac{76}{12} \approx 6.33 \text{ feet}Feet=1276≈6.33 feet
Next, we separate the whole number from the decimal. The whole number part represents the feet, and the decimal part needs to be converted back into inches. The whole number is 6 feet. To find out how many inches remain, we take the decimal part (0.33) and multiply it by 12 (the number of inches in a foot):Inches=0.33×12≈4\text{Inches} = 0.33 \times 12 \approx 4Inches=0.33×12≈4
Thus, there are approximately 4 inches remaining. Therefore, we can express 76 inches as:6 feet and 4 inches6 \text{ feet} \text{ and } 4 \text{ inches}6 feet and 4 inches
In summary, a street sign that is 76 inches tall is equivalent to 6 feet and 4 inches tall.
Understanding the Conversion
This conversion process is essential for various practical applications, such as when measuring the height of objects in contexts where feet and inches are the standard units of measurement (like construction or interior design). Understanding how to convert between these units is vital for accuracy, as many individuals in various fields may not be familiar with one unit system over the other.
The process involves both division and multiplication, demonstrating how fractional values can easily be converted into whole numbers and smaller units. Mastering such conversions can help ensure that dimensions are accurately communicated and understood, facilitating clearer communication and effective project execution. Moreover, this knowledge is valuable not only for practical tasks but also for enhancing mathematical skills related to unit conversion.