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
1/9
1/12
1/3
2/3
To find out how much of the sandwich Bishop ate after work, we need to subtract the amount she ate for lunch from the initial amount of the sandwich.
Bishop ate 1/2 of the sandwich for lunch, so what is left is 1 - 1/2 = 1/2 of the sandwich.
Then, Bishop ate 2/3 of what was left after work, which is (2/3) * (1/2) = 2/6 = 1/3 of the sandwich.
Therefore, Bishop ate 1/3 of the sandwich after work.
To find out how much of the sandwich Bishop ate after work, we need to first determine how much was left after she ate half of it for lunch.
Let's say the sandwich originally had 12 equal parts.
Bishop ate 1/2 of the sandwich for lunch, which is equal to (1/2) * 12 = 6 parts.
So, after lunch, there were 12 - 6 = 6 parts left.
Then, Bishop ate 2/3 of what was left after work. Since there were 6 parts left, Bishop ate (2/3) * 6 = 4 parts after work.
Therefore, Bishop ate 4 parts of the sandwich after work, which can be written as 4/12.
So, the answer is 4/12 or simplified as 1/3.
Therefore, Bishop ate 1/3 of the sandwich after work.