Question

Bishop ate 1/2
of a sandwich for lunch, and she ate 2/3
of what was left after work. How much of the sandwich did Bishop eat after work?(1 point)
Responses

2/3
2 thirds

1/12
1 over 12

1/9
1 ninth

1/3

Answer 1

To determine how much of the sandwich Bishop ate after work, we can follow these steps:

1. **Initial Sandwich Amount**: Let's assume the whole sandwich is 1 (the whole).

2. **Amount Eaten for Lunch**: Bishop ate \( \frac{1}{2} \) of the sandwich for lunch.
\[
\text{Remaining sandwich after lunch} = 1 - \frac{1}{2} = \frac{1}{2}
\]

3. **Amount Eaten After Work**: After work, Bishop ate \( \frac{2}{3} \) of what was left.
\[
\text{Amount eaten after work} = \frac{2}{3} \times \frac{1}{2} = \frac{2}{6} = \frac{1}{3}
\]

Therefore, Bishop ate \( \frac{1}{3} \) of the sandwich after work.

The answer is **1/3**.