A street sign is 115 inches tall. How tall is it in feet and inches
The Correct Answer and Explanation is:
To convert 115 inches into feet and inches, we need to understand the conversion factor between inches and feet. There are 12 inches in one foot.
Step 1: Divide the total inches by 12 to find how many full feet are in 115 inches.
[
115 \div 12 = 9 \text{ feet with a remainder of } 7 \text{ inches}.
]
This means that 115 inches is equivalent to 9 feet and 7 inches.
Step 2: Interpretation of the result
The result of the division shows that 115 inches contains 9 full feet (because 9 feet equals 108 inches, as ( 9 \times 12 = 108 )) and a remainder of 7 inches. The remainder represents the inches that are left over after accounting for the full feet.
So, the height of the street sign, when converted, is 9 feet 7 inches.
Explanation of the process
The conversion from inches to feet works on the principle that 1 foot is equal to 12 inches. To break down a measurement in inches into feet and inches, we first divide the total number of inches by 12. The quotient of this division gives the number of full feet, and the remainder represents the extra inches that do not make up a full foot.
For example, in this case, when we divide 115 by 12, we get 9 with a remainder of 7. The quotient of 9 tells us that there are 9 full feet in the 115 inches, and the remainder of 7 tells us that there are 7 extra inches beyond those 9 feet.
Thus, the street sign’s height of 115 inches can be expressed as 9 feet 7 inches. This conversion helps in understanding large measurements in a way that is more commonly used, particularly in areas like construction, architecture, and everyday measurements.