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QuestionMathematics

Show how to convert 8 quarts to gallons using a unit multiplier. (1 gal = 4 qt)
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Step 1:
I'll solve this problem step by step, following the specified LaTeX and formatting guidelines:

Step 2:
: Identify the Given Information

- Initial quantity: $$8 \text{ quarts}
- Conversion relationship: 1 \text{ gallon} = 4 \text{ quarts}

Step 3:
: Set Up the Unit Multiplier

\frac{1 \text{ gallon}}{4 \text{ quarts}}
We want to convert quarts to gallons, so we'll use the conversion factor:

Step 4:
: Perform the Conversion Calculation

8 \text{ quarts} \times \frac{1 \text{ gallon}}{4 \text{ quarts}} = \frac{8}{4} \text{ gallons}
Multiply the initial quantity by the unit multiplier:

Step 5:
: Simplify the Calculation

\frac{8}{4} = 2 \text{ gallons}

Final Answer

8 \text{ quarts} = 2 \text{ gallons}