The Correct Answer and Explanation is:
The correct answer is 7.5 feet.
Here is a detailed explanation of how to arrive at this answer:
To convert 90 inches to feet, it is essential to understand the relationship between these two units of length. The fundamental conversion factor is that there are exactly 12 inches in 1 foot. Because you are converting from a smaller unit, inches, to a larger unit, feet, the correct mathematical operation is division. You need to determine how many sets of 12 inches fit into the total of 90 inches, which will give you the equivalent length in feet.
The calculation is performed by dividing 90 by 12. The equation to solve is 90 ÷ 12.
When you perform this division, you find that 12 goes into 90 a total of seven full times, with a remainder. We can verify this through multiplication: 7 multiplied by 12 equals 84. This means that 90 inches contains 7 complete feet, which account for 84 of the total inches provided in the problem.
To find out what is left over, we subtract the inches already accounted for from the original total: 90 inches minus 84 inches leaves a remainder of 6 inches.
At this point, we can state that 90 inches is equal to 7 feet and 6 inches. However, the question requires the answer to be expressed solely in feet, so we must convert the remaining 6 inches into a decimal or fractional part of a foot.
Since a full foot has 12 inches, 6 inches represents 6/12 of a foot. This fraction can be simplified to its lowest terms, which is 1/2. As a decimal, 1/2 is written as 0.5.
Therefore, the 6 remaining inches are equivalent to 0.5 feet.
Finally, to get the complete answer in feet, you add the whole number of feet to the decimal representation of the remainder: 7 feet plus 0.5 feet equals 7.5 feet. Thus, 90 inches is exactly equal to 7.5 feet. This principle of dividing by the conversion factor is a standard and reliable method for many unit conversions.
