Final answer:
The large bin holds (10/3) gallons or (3 1/3) gallons.
Step-by-step explanation:
To find out how many gallons the large bin holds, we need to determine how much larger it is than the standard size bin. The large bin is (1 1/4) times larger, which can also be expressed as (5/4) times the standard size bin.
To find the amount in gallons, we need to multiply the standard size bin by (5/4).
(5/4) x (2 2/3) = (5/4) x (8/3) = 40/12 = 10/3
So, the large bin holds (10/3) gallons, which is equivalent to (3 1/3) gallons.