A street sign is 89 inches tall. How tall is it in feet and inches?
The Correct Answer and Explanation is :
To convert 89 inches to feet and inches, we need to understand the relationship between inches and feet. There are 12 inches in a foot. Here’s how we can do the conversion:
- Divide the total number of inches by 12 to determine how many full feet are in 89 inches. [
\frac{89 \text{ inches}}{12 \text{ inches/foot}} = 7 \text{ feet with a remainder.}
] - Calculate the remainder. The remainder represents the number of inches that are left over after accounting for the full feet. [
89 – (7 \times 12) = 89 – 84 = 5 \text{ inches.}
]
So, 89 inches is equivalent to 7 feet 5 inches.
Step-by-step Breakdown:
- We begin by dividing 89 by 12. This gives 7, which means there are 7 full feet in 89 inches.
- We then subtract the number of inches in those 7 feet (which is (7 \times 12 = 84)) from 89 to determine how many inches are remaining.
- The remainder is 5 inches, which is the leftover part of the 89 inches that don’t complete another full foot.
Why It Works:
When converting from inches to feet, the number 12 (since there are 12 inches in a foot) is the key factor. This method can be applied to any number of inches. By dividing by 12, you can determine how many full feet there are, and the remainder gives you the extra inches.
Conclusion:
Thus, a street sign that is 89 inches tall is 7 feet 5 inches tall. This process of dividing by 12 to convert inches to feet is a standard method for converting measurements between these two units.