3/5th of 20 liters of water is (3/5) * 20 = 12 liters of water.
5/6th of 18 liters of vinegar is (5/6) * 18 = 15 liters of vinegar.
The total volume of the mixture is 12 liters of water + 15 liters of vinegar = 27 liters.
#### 27
The answer is: 27
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
What is the total volume of the mixture obtained when a young lady combines 3/5th of 20 liters of water with 5/6th of 18 liters of vinegar in a dye-making process?

### Answer:
