To find out how much water each person got, you need to divide the total amount of water by the number of people.
The total amount of water is \( \frac{3}{4} \) gallon, and there are 3 hikers.
You can calculate this by:
\[ \text{Amount per person} = \frac{\frac{3}{4}}{3} \]
To divide a fraction by a whole number, you can multiply the fraction by the reciprocal of the whole number:
\[ \frac{3}{4} \div 3 = \frac{3}{4} \times \frac{1}{3} = \frac{3 \times 1}{4 \times 3} = \frac{3}{12} \]
Now simplify \( \frac{3}{12} \):
\[ \frac{3}{12} = \frac{1}{4} \]
So, each person got \( \frac{1}{4} \) gallon of water.
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