Answer:
About 2 cups.
Explanation:
Use 3 and 4's LCM (Least Common Multiple).
3 and 4's LCM is 12.
Rewrite the fractions.
2/3 rewrites into 8/12.
1 1/4 rewrites into 1 3/12.
Add the fractions.
You should get 1 11/12.
Unfortunately there are no "cups" that go up to twelths. Here you will have to round.
1 11/12 is close to 2 cups.