Step-by-step Solution:

Step 1: Define the Pizza Fractions
The first half of the pizza is cut into 4 equal pieces, so each piece is: \[ \frac{1}{4} \text{ of half} = \frac{1}{8} \text{ of the whole pizza} \] The second half of the pizza is cut into 6 equal pieces, so each piece is: \[ \frac{1}{6} \text{ of half} = \frac{1}{12} \text{ of the whole pizza} \] Step 2: Calculate the Eaten Portion
The person eats:
1. 1 large piece from the first half → \( \frac{1}{8} \)
2. 2 smaller pieces from the second half → \( 2 \times \frac{1}{12} = \frac{2}{12} = \frac{1}{6} \)
Now, find the total eaten fraction: \[ \frac{1}{8} + \frac{1}{6} \] Find the LCM of 8 and 6, which is 24: \[ \frac{1}{8} = \frac{3}{24}, \quad \frac{1}{6} = \frac{4}{24} \] Adding them together: \[ \frac{3}{24} + \frac{4}{24} = \frac{7}{24} \] Step 3: Find the Remaining Fraction
The total pizza was 1 whole (or \( \frac{24}{24} \)), so the uneaten portion is: \[ 1 - \frac{7}{24} = \frac{24}{24} - \frac{7}{24} = \frac{17}{24} \] Final Answer \( \frac{17}{24} \)