To solve the equation \( 12 \frac{2}{3} = \frac{38}{?} \), we first convert \( 12 \frac{2}{3} \) into an improper fraction.
- Convert \( 12 \frac{2}{3} \): \[ 12 \frac{2}{3} = 12 + \frac{2}{3} = \frac{12 \times 3}{3} + \frac{2}{3} = \frac{36}{3} + \frac{2}{3} = \frac{36 + 2}{3} = \frac{38}{3} \]
Now, we can rewrite the equation: \[ \frac{38}{3} = \frac{38}{?} \]
Since both fractions have the same numerator, we can set their denominators equal to each other: \[ 3 = ? \]
Thus, the value of \( ? \) is \( 3 \).
Therefore, the final answer is: \[ ? = 3 \]