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QuestionHealthcare

There are 33.8 fluid ounces in a liter. There are 128 fluid ounces in a gallon. About how many liters are in a gallon?
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Answer

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Step 1:
I'll solve this step by step using the specified LaTeX formatting guidelines:

Step 2:
: Identify the given conversion factors

- $$33.8 \text{ fluid ounces} = 1 \text{ liter}
- 128 \text{ fluid ounces} = 1 \text{ gallon}

Step 3:
: Set up the conversion calculation

\frac{128 \text{ fluid ounces/gallon}}{33.8 \text{ fluid ounces/liter}}
We want to find how many liters are in a gallon, so we'll divide the number of fluid ounces in a gallon by the number of fluid ounces in a liter:

Step 4:
: Perform the division

\frac{128}{33.8} = 3.7868 \text{ liters/gallon}

Step 5:
: Round to a reasonable number of significant figures

Since the original measurements have 3 significant figures, we'll round to 3.79 liters.

Final Answer

There are approximately 3.79 \text{ liters} in a gallon.