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(4) Sebastian carried \( \frac{1}{2} \) liter of water on a hike. He drank \( \frac{2}{3} \) of the water. How much water did he drink?

Ask by Park Willis. in the United States
Jan 21,2025

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Answer

Sebastian drank \(\frac{1}{3}\) liter of water.

Solution

To determine how much water Sebastian drank, follow these steps: 1. **Identify the total amount of water carried:** Sebastian carried \(\frac{1}{2}\) liter of water. 2. **Determine the fraction of water he drank:** He drank \(\frac{2}{3}\) of the water. 3. **Calculate the amount of water consumed:** Multiply the total amount of water by the fraction he drank: \[ \text{Amount Drank} = \frac{2}{3} \times \frac{1}{2} \] \[ \text{Amount Drank} = \frac{2 \times 1}{3 \times 2} = \frac{2}{6} = \frac{1}{3} \text{ liter} \] **Conclusion:** Sebastian drank \(\frac{1}{3}\) liter of water.

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Sebastian drank \( \frac{2}{3} \) of the \( \frac{1}{2} \) liter of water he carried. To find out how much he drank, we multiply \( \frac{2}{3} \) by \( \frac{1}{2} \): \[ \frac{2}{3} \times \frac{1}{2} = \frac{2 \cdot 1}{3 \cdot 2} = \frac{2}{6} = \frac{1}{3} \text{ liters} \] So, Sebastian drank \( \frac{1}{3} \) liter of water on his hike! One fun fact about hydration during hikes is that staying well-hydrated can significantly improve your energy levels and performance. So, just like Sebastian, taking regular sips can make your outdoor adventures much more enjoyable! If you ever find yourself calculating fractions on the go, a common mistake to avoid is forgetting to find a common denominator when adding or subtracting fractions. Always keep this tip in mind to simplify your math processes while out in nature!

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