To convert 5 3/8 gallons to cups, follow these steps:
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Convert the mixed number (5 3/8) to an improper fraction: \[ 5 3/8 = \frac{(5 \times 8) + 3}{8} = \frac{40 + 3}{8} = \frac{43}{8} \]
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Now, multiply by the conversion factor (16 cups per gallon): \[ \frac{43}{8} \text{ gallons} \times 16 \text{ cups/gallon} \]
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This simplifies as follows: \[ \frac{43 \times 16}{8} \]
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Calculate \(43 \times 16\): \[ 43 \times 16 = 688 \]
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Now divide by 8: \[ \frac{688}{8} = 86 \]
So, \(5 3/8\) gallons is equal to 86 cups.