Final answer:
The difference between the sports drink bottle's fullness before and after practice is calculated by subtracting the fractions that represent the fullness at each time. The fraction before practice (5/6) is converted to have the same denominator as the after practice fraction (3/8) to facilitate subtraction. The resulting difference is 11/24, which is the bottle's fullness difference in simplest form.
Step-by-step explanation:
The question asks us to find the difference between the amounts in a sports drink bottle before and after a practice session. Before practice, the bottle was 5/6 full, and after practice, it was 3/8 full. To find the difference in the bottle's fullness, we subtract the fraction representing the amount after practice from the amount before practice.
- Write down the fractions: Before practice = 5/6, After practice = 3/8.
- Find a common denominator for the fractions. The least common denominator (LCD) for 6 and 8 is 24.
- Convert both fractions to have the same denominator: 5/6 = 20/24, 3/8 = 9/24.
- Subtract the 'after practice' fraction from the 'before practice' fraction: 20/24 - 9/24 = 11/24.
- The difference in fullness is 11/24, and this is already in its simplest form.
Therefore, the difference between the bottle's fullness before and after practice is 11/24.