Page Harrington
07/15/2023 · High School

SPORTS DRINK Your sports drink bottle is \( \frac{5}{6} \) full. After practice, the bottle is \( \frac{3}{8} \) full. Write the difference of the amounts after practice and before practice.

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To find the difference between the amount of sports drink in the bottle before and after practice, we need to subtract the amount after practice from the amount before practice. Let: - The amount before practice be \( \frac{5}{6} \) - The amount after practice be \( \frac{3}{8} \) We need to calculate: \[ \frac{5}{6} - \frac{3}{8} \] To perform this subtraction, we first need a common denominator. The denominators are 6 and 8. The least common multiple (LCM) of 6 and 8 is 24. Next, we convert both fractions to have a denominator of 24: 1. For \( \frac{5}{6} \): \[ \frac{5}{6} = \frac{5 \times 4}{6 \times 4} = \frac{20}{24} \] 2. For \( \frac{3}{8} \): \[ \frac{3}{8} = \frac{3 \times 3}{8 \times 3} = \frac{9}{24} \] Now we can subtract the two fractions: \[ \frac{20}{24} - \frac{9}{24} = \frac{20 - 9}{24} = \frac{11}{24} \] Thus, the difference in the amounts of sports drink in the bottle before and after practice is: \[ \frac{11}{24} \]

Quick Answer

The difference is \( \frac{11}{24} \).
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