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Converting 1 Gallon to Ounces Using Chained Conversion Factors
To find how many ounces are in gallon, chain four US customary capacity conversion factors in a single expression. Each factor equals , so the value of the measurement is unchanged — only the unit changes at each step.
- Start with the given measurement: .
- Write as four successive conversion factors:
- Cancel the common units: "gal" cancels with "gal," "qt" cancels with "qt," "pt" cancels with "pt," and "c" cancels with "c," leaving only ounces.
- Multiply the numerators and denominators:
Therefore gallon ounces. This example extends the chained-conversion-factor technique to US customary volume units, requiring four factors because gallons and ounces are separated by three intermediate units (quarts, pints, and cups).
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Learn After
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