Final answer:
To find the total volume of water in the three barrels, add up the volumes of water in each barrel.
Step-by-step explanation:
To find the total volume of water in the three barrels, we need to add up the volumes of water in each barrel.
The first barrel contains 12 1/5 liters of water.
The second barrel contains 2 1/4 liters less than the first barrel, so it contains 12 1/5 - 2 1/4 liters = 9 7/20 liters.
The third barrel contains 4 5/6 liters more than the second barrel, so it contains 9 7/20 + 4 5/6 liters = 14 19/60 liters.
To find the total volume of water in the three barrels, we add: 12 1/5 + 9 7/20 + 14 19/60 = 36 39/60 liters.
Therefore, the total volume of water in the three barrels is 36 39/60 liters.