Bishop ate 1/2

Question

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

1/9
1 ninth

2/3
2 thirds

1/12
1 over 12

1/3
1 third

Answer 1

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)