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!

4 answers

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!
mn m
Either 2/3+1/4 = 3/7 or 2/3x1/4=2/12 simplify I got 1/6