To convert 4 3/4 gallons to cups, first convert the mixed number to an improper fraction.
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Convert 4 3/4 to an improper fraction: \[ 4 \frac{3}{4} = \frac{4 \times 4 + 3}{4} = \frac{16 + 3}{4} = \frac{19}{4} \]
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Now, since there are 16 cups in 1 gallon, to convert gallons to cups, multiply by 16: \[ \text{Cups} = \left(\frac{19}{4} \text{ gallons}\right) \times 16 \text{ cups/gallon} \]
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Perform the multiplication: \[ \frac{19}{4} \times 16 = \frac{19 \times 16}{4} = \frac{304}{4} = 76 \]
Thus, 4 3/4 gallons is equal to 76 cups.