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?
If Bishop ate 1/2 of a sandwich for lunch, then what was left after lunch was 1/2*1 = <<1/2*1=1/2>>1/2 of the sandwich.
After lunch there was 2/3*1/2 = <<2/3*1/2=1/3>>1/3 of the sandwich remaining. Answer: \boxed{\dfrac{1}{3}}.
To find out how much of the sandwich Bishop ate after work, we need to calculate the remaining amount after Bishop ate 1/2 of the sandwich for lunch.
Let's assume the initial amount of the sandwich = 1 (whole sandwich)
After Bishop ate 1/2 of the sandwich for lunch, the remaining amount = 1 - 1/2 = 1/2.
Now, Bishop ate 2/3 of the remaining amount after work.
The amount Bishop ate = 2/3 * 1/2 = (2/3) * (1/2) = 2/6 = 1/3.
Therefore, Bishop ate 1/3 of the sandwich after work.