You have a 4/5 quart bottle of pineapple juice. How many 4/45 quart glasses can you fill?

9

16 cups

4/45 quart glasses??

Are you sure?

To solve this problem, we need to divide the total amount of pineapple juice (4/5 quart) by the amount in each glass (4/45 quart).

First, let's convert the fractions to a common denominator so that we can perform the division.

The common denominator for 5 and 45 is 225. To convert 4/5 to a fraction with a denominator of 225, we multiply the numerator and denominator by 45:
(4/5) x (45/45) = 180/225

Now, we can perform the division:
(180/225) รท (4/45) = (180/225) x (45/4)

To multiply fractions, we multiply the numerators together and the denominators together:
(180/225) x (45/4) = (180 x 45) / (225 x 4) = 8100 / 900 = 9

Therefore, you can fill 9 glasses of size 4/45 quart with a 4/5 quart bottle of pineapple juice.