Bishop ate \( \frac{1}{2} \) of the sandwich for lunch. This means that after lunch, she had:
\[ 1 - \frac{1}{2} = \frac{1}{2} \]
of the sandwich left.
After work, she then ate \( \frac{2}{3} \) of what was left. To find out how much that is, we calculate:
\[ \frac{2}{3} \times \frac{1}{2} = \frac{2 \times 1}{3 \times 2} = \frac{2}{6} = \frac{1}{3} \]
So, Bishop ate \( \frac{1}{3} \) of the sandwich after work.
The correct response is:
1/3 (1 third)