From the "GMAT Official Guide Quantitative Review 2019".
"Half of a large pizza is cut into 4 equal- sized pieces, and the other half is cut into 6 equal- sized pieces. If a person were to eat 1 of the larger pieces and 2 of the smaller pieces, what fraction of the pizza would remain uneaten?" The answer is 17/24
So first, I made it into (4/4) plus (6/6) and then those become (3/4) plus (4/6). You then get 17/12. That isn't the answer as 12 is the common denominator.
Then, I decided that since originally the pieces were (1/2)s I multiplied (3/4) by 2 and (4/6) by two and then add those up. The answer you get is 17/6.
I then tried (3/4) times 0.5 plus (4/6) times 0.5 and that answer is (7/12), which is also wrong.
What direction should I take and why?
"Half of a large pizza is cut into 4 equal- sized pieces, and the other half is cut into 6 equal- sized pieces. If a person were to eat 1 of the larger pieces and 2 of the smaller pieces, what fraction of the pizza would remain uneaten?" The answer is 17/24
So first, I made it into (4/4) plus (6/6) and then those become (3/4) plus (4/6). You then get 17/12. That isn't the answer as 12 is the common denominator.
Then, I decided that since originally the pieces were (1/2)s I multiplied (3/4) by 2 and (4/6) by two and then add those up. The answer you get is 17/6.
I then tried (3/4) times 0.5 plus (4/6) times 0.5 and that answer is (7/12), which is also wrong.
What direction should I take and why?