Convert 5 ft and 9 inches is equivalent to __ft. Round your answer to two decimal places.
The Correct Answer and Explanation is :
The height of 5 feet 9 inches is equivalent to 5.75 feet when rounded to two decimal places.
Explanation:
The standard conversion between feet and inches is that there are 12 inches in one foot. To convert a height measured in both feet and inches into feet alone, follow these steps:
- Identify the feet and inches separately:
- You start with 5 feet and 9 inches.
- Convert inches into feet:
- Since there are 12 inches in one foot, divide the number of inches (9) by 12 to convert them into feet:
[
9 \text{ inches} \div 12 = 0.75 \text{ feet}
]
- Add the result to the original feet:
- Now that we know 9 inches is equal to 0.75 feet, we add this to the original 5 feet:
[
5 + 0.75 = 5.75 \text{ feet}
]
- Rounding:
- The result, 5.75 feet, is already rounded to two decimal places. This is a precise measurement in decimal form for the given height.
This conversion is useful for various practical applications, such as in scientific measurements, construction, or fitness assessments where it’s important to express heights in a single unit (feet) for consistency. Converting to decimal feet is often easier to work with in formulas and calculations than mixed units of feet and inches.