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QuestionMathematics

A person's height is 73 inches. How would you convert this height to feet using a conversion factor? a. 12in/ft 73in ​ b. 173in × 12in 1ft
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Answer

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Step 1:
I'll solve this problem step by step, following the specified LaTeX formatting guidelines:

Step 2:
: Identify the given information

- Conversion factor: $$\frac{12 \text{ in}}{1 \text{ ft}}
- Height = 73 inches

Step 3:
: Set up the conversion calculation

\frac{73 \text{ in}}{1} \times \frac{1 \text{ ft}}{12 \text{ in}}
To convert inches to feet, we'll multiply the height by the conversion factor:

Step 4:
: Cancel out units and calculate

\frac{73 \text{ in}}{1} \times \frac{1 \text{ ft}}{12 \text{ in}} = \frac{73}{12} \text{ ft}

Step 5:
: Perform the division

\frac{73}{12} = 6.0833 \text{ ft}

Final Answer

Key Insights: - The conversion factor \frac{12 \text{ in}}{1 \text{ ft}} allows direct conversion between inches and feet - Always ensure units cancel out in conversion problems - Round to an appropriate number of decimal places based on the precision of the original measurement