How many cups is 5 1/8 gallons

How many cups is 5 1/8 gallons

The correct answer and explanation is:

To convert 5 1/8 gallons to cups, follow these steps:

1. Understand the Conversion Factor:
   • 1 gallon is equal to 16 cups. This is a standard unit of measurement in both the US customary and imperial systems.
2. Convert 5 1/8 gallons to cups:
   • First, convert 5 1/8 to an improper fraction.
     • 5 1/8 is equivalent to 418\frac{41}{8} gallons (since 5×8+1=415 \times 8 + 1 = 41).
3. Multiply by the Conversion Factor:
   • Multiply 418\frac{41}{8} gallons by 16 cups per gallon: 418×16=41×168=6568=82\frac{41}{8} \times 16 = \frac{41 \times 16}{8} = \frac{656}{8} = 82
4. Final Answer:
   • So, 5 1/8 gallons is equal to 82 cups.

Explanation

To solve this, you need to remember how units work in the system. Gallons and cups are both measurements of liquid volume, but they are different units. Since 1 gallon equals 16 cups, the conversion involves multiplying the number of gallons by 16.

In the case of 5 1/8 gallons, you first convert the mixed number into an improper fraction to make the multiplication process easier. After multiplying the improper fraction by 16, the result is in cups. This step simplifies the conversion from one unit (gallons) to another (cups), which is common when dealing with large quantities in recipes or any liquid-based measurements.

The key to this kind of conversion is ensuring that the correct conversion factor is used and that mixed numbers are handled properly.