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As of 2006, the world's largest leather work boot is 16 feet tall. A typical men's work boot is [tex]\frac{1}{2}[/tex] foot tall. How many times as tall is the largest boot compared to the height of the typical work boot?

Answer :

Sure! Let's solve the problem step by step.

1. Identify the Heights:
- The world's largest leather work boot is 16 feet tall.
- A typical men's work boot is [tex]\(\frac{1}{2}\)[/tex] foot tall.

2. Determine How Many Times Taller:
To find out how many times the largest boot is compared to the typical boot, we need to divide the height of the largest boot by the height of the typical boot.

3. Calculation:
- Divide the height of the largest boot by the height of a typical boot:
[tex]\[
\text{Times taller} = \frac{16 \text{ feet}}{\frac{1}{2} \text{ foot}}
\][/tex]

4. Perform the Division:
- When you divide by a fraction, it's the same as multiplying by its reciprocal. So,
[tex]\[
\text{Times taller} = 16 \times 2 = 32
\][/tex]

5. Conclusion:
The world's largest leather work boot is 32 times as tall as a typical men's work boot.

This means that the largest boot is significantly taller compared to an average work boot, making it quite an impressive sight!

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