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Step 1:I'll solve this step-by-step using the specified LaTeX formatting guidelines:
Step 2:: Understand the problem
We need to find half of the mixed number $$32 \frac{1}{2}
Step 3:: Convert the mixed number to an improper fraction
32 \frac{1}{2} = \frac{65}{2}
(This is calculated by multiplying 32 by 2 and adding 1, then putting over 2)
Step 4:: Divide the fraction by 2
\frac{65}{2} \div 2 = \frac{65}{4}
Step 5:: Simplify the result
\frac{65}{4} = 16\frac{1}{4}
Final Answer
Explanation: - Half of 32½ is 16¼ - This can be verified by multiplying 16¼ by 2, which returns the original number 32½
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