Half of a pizza was broccoli and half was mushroom. George ate 2/3 of the broccoli and 1/4 of thee mushroom part. How much of the pizza did he eat?
I did this problem but I wasn't sure of my answer so I needed someone to see if I am right or not. My answer is 1/6 and I got that because I multiplied 2/3 and 1/4, which equals to 2/12. After that, I simplified 2/12 to 1/6 and that's how I got my answer. So, if anyone can check my answer and tell if its right or wrong. Please feel free to do that and if I got it wrong then please explain why and what is the right answer. If my answer is correct, just let me know. Thanks!
1/6 doesn't make any sense.
(2/3) * (1/2) = 2/6
(1/4) * (1/2) = 1/8
2/6 = 8/24
1/8 = 3/24
(8/24) + (3/24) = 11/24
Thanks Ms.Sue for your help and I appreciated it!
Either 2/3+1/4 = 3/7 or 2/3x1/4=2/12 simplify I got 1/6
To determine how much of the pizza George ate, you need to add up the portions of broccoli and mushroom he consumed separately, then find the total fraction.
Let's start with the broccoli portion. If half of the pizza was broccoli, and George ate 2/3 of that 1/2, we need to find 2/3 of 1/2:
(2/3) * (1/2) = 2/6
Now let's move on to the mushroom portion. Using the same logic, George ate 1/4 of the mushroom part, which is also 1/2 of the whole pizza. So the calculation becomes:
(1/4) * (1/2) = 1/8
Now, to find the total fraction of the pizza George ate, we add the fractions of broccoli and mushroom:
2/6 + 1/8
To add these fractions, we need to find a common denominator:
For 6 and 8, the least common multiple is 24. So we can rewrite the fractions with a denominator of 24:
(2/6) * (4/4) = 8/24
(1/8) * (3/3) = 3/24
Adding these fractions:
8/24 + 3/24 = 11/24
So, George ate 11/24 of the pizza, not 1/6.