Final answer:
Mai's claim that each dancer gets 3/2 of a liter of water from dividing 3 liters into 2 groups is mathematically incorrect; each group would actually receive 1.5 liters.
Step-by-step explanation:
Mai's statement that each dancer gets 3/2 of a liter of water because 3 divided into 2 equal groups is 3/2 is false. In mathematics, when we divide a number by another number, the result is called a quotient. If you have 3 liters of water and you want to divide it equally into 2 groups, each group would get 3/2 liters, which is also known as 1.5 liters or one and a half liters.
However, without additional context, it's not clear why Mai is asserting that the division leads to each dancer receiving 3/2 liters. It's possible she is referring to a scenario where a total amount of water is to be distributed among the dancers, but without that context, her statement is mathematically incorrect.