Final answer:
To find out the total amount in the water bottle, add 2 and 1/3 cups of water, 1 and 1/2 cups of ice, and 1/4 cup of Gatorade mix. The combined total is 4 and 1/12 cups.
Step-by-step explanation:
To determine how many cups your water bottle is filled with after adding 2 and 1/3 cups of water, 1 and 1/2 cups of ice, and 1/4 cup of Gatorade mix, you need to add all the amounts together:
- Convert the mixed fractions to improper fractions. 2 and 1/3 becomes 7/3 cups, and 1 and 1/2 becomes 3/2 cups.
- Add the improper fractions along with the Gatorade mix: (7/3) + (3/2) + (1/4).
- Find a common denominator to make addition easier. In this case, that would be 12, so convert the fractions: (28/12) + (18/12) + (3/12).
- Add the fractions: 28/12 + 18/12 + 3/12 = 49/12 cups.
- To convert back to a mixed number, divide 49 by 12: 49 ÷ 12 = 4 with a remainder of 1, which gives us 4 and 1/12 cups.
The water bottle is therefore filled with 4 and 1/12 cups of liquid.