What fraction is?
7 of `4(1)/(2)`dozen

Answer

To solve the question "What fraction is 7 of 4(1/2) dozen?", we will follow these steps:

### Step 1: Convert the mixed number into an improper fraction
The mixed number given is \(4 \frac{1}{2}\). To convert this into an improper fraction, we use the formula:
\[ \text{Improper Fraction} = \left(\text{Whole Number} \times \text{Denominator} + \text{Numerator}\right) / \text{Denominator} \]
Here, the whole number is 4, the numerator is 1, and the denominator is 2.

Calculating:
\[ 4 \frac{1}{2} = \frac{(4 \times 2) + 1}{2} = \frac{8 + 1}{2} = \frac{9}{2} \]

### Step 2: Convert dozen to a number
We know that 1 dozen is equal to 12. Therefore, \(4 \frac{1}{2}\) dozen is:
\[ \frac{9}{2} \text{ dozen} = \frac{9}{2} \times 12 \]

### Step 3: Calculate the total number of items
Now, we can simplify:
\[ \frac{9}{2} \times 12 = \frac{9 \times 12}{2} = \frac{108}{2} = 54 \]

### Step 4: Find 7 of the total
Now we need to find what fraction is 7 of 54:
\[ 7 \text{ of } 54 = \frac{7}{54} \]

### Final Answer
Thus, the fraction is:
\[ \frac{7}{54} \]

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