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To determine how many teaspoons are in one gallon, it's essential to know the conversion factors between these units of measurement.

1 gallon is equivalent to 128 fluid ounces. Each fluid ounce contains 6 teaspoons. To find the total number of teaspoons in a gallon, you first convert gallons to fluid ounces and then fluid ounces to teaspoons:

  • Start with 1 gallon = 128 fluid ounces.

  • Since each fluid ounce equals 6 teaspoons, you multiply the number of fluid ounces by the number of teaspoons per fluid ounce:

    128 fluid ounces × 6 teaspoons/fluid ounce = 768 teaspoons.

This calculation shows that one gallon contains 768 teaspoons, making it the correct answer. The understanding of these volume conversions is crucial in pharmacy settings, particularly when measuring liquid medications or compounding prescriptions.

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