To find out how many gallons of milk it takes to make one gallon of ice cream, we need to divide the total gallons of milk by the total gallons of ice cream.
In this case, we have 6 3/10 gallons of milk to make 4 1/2 gallons of ice cream.
First, we need to convert the mixed numbers into improper fractions.
6 3/10 gallons of milk can be written as (6 x 10 + 3)/10 = 63/10 gallons of milk.
4 1/2 gallons of ice cream can be written as (4 x 2 + 1)/2 = 9/2 gallons of ice cream.
Now, we can divide the gallons of milk by the gallons of ice cream.
(63/10 gallons of milk) / (9/2 gallons of ice cream)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
(63/10 gallons of milk) * (2/9 gallons of ice cream)
Next, we can simplify the fractions by canceling out common factors.
(7/1 * 3/10) gallons of milk
Multiplying these fractions gives us:
(21/10) gallons of milk
So, it takes 21/10 gallons of milk to make one gallon of ice cream.