2. Every day at the Aquarium, the dolphins get \( 2 \frac{1}{4} \) buckets of fish. The penguins get half of this. How many buckets do the penguins get per day?
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To find out how many buckets of fish the penguins get per day, we start with the amount the dolphins receive, which is \( 2 \frac{1}{4} \) buckets. To work with this mixed number, we can convert it into an improper fraction: \[ 2 \frac{1}{4} = \frac{9}{4} \text{ (because } 2 \times 4 + 1 = 9\text{)} \] The penguins get half of what the dolphins receive: \[ \text{Penguins' share} = \frac{1}{2} \times \frac{9}{4} = \frac{9}{8} \] Now, we can convert \( \frac{9}{8} \) back into a mixed number: \[ \frac{9}{8} = 1 \frac{1}{8} \] So, the penguins get \( 1 \frac{1}{8} \) buckets of fish per day.
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