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?(

Answer 1

Let's start by determining how much of the sandwich Bishop had left after lunch.

Bishop ate \( \frac{1}{2} \) of the sandwich for lunch. This means the amount she had left is:

\[ 1 - \frac{1}{2} = \frac{1}{2} \]

Next, after work, she ate \( \frac{2}{3} \) of the remaining sandwich. The remaining amount is \( \frac{1}{2} \).

To find out how much she ate after work, we calculate \( \frac{2}{3} \) of \( \frac{1}{2} \):

\[ \text{Amount eaten after work} = \frac{2}{3} \times \frac{1}{2} = \frac{2 \times 1}{3 \times 2} = \frac{2}{6} = \frac{1}{3} \]

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