To convert a capacity of 2.6 gallons to quarts, which ratio could you multiply by? Remember that 1 gallon = 4 quarts
The Correct Answer and Explanation is:
To convert 2.6 gallons to quarts, you need to use the conversion factor that 1 gallon equals 4 quarts. The correct ratio you would multiply by is 4 quarts/1 gallon.
Explanation:
To convert between different units, we use a conversion factor, which is a fraction where the numerator and denominator are equivalent values expressed in different units. In this case, the relationship is:1 gallon=4 quarts1 \, \text{gallon} = 4 \, \text{quarts}1gallon=4quarts
Thus, the conversion factor is 4 quarts/1 gallon. When you multiply by this conversion factor, the gallons unit will cancel out, leaving you with quarts.
Step-by-Step Conversion:
- Start with the given quantity: You have 2.6 gallons.
- Multiply by the conversion factor: Multiply 2.6 gallons by the ratio 4 quarts/1 gallon:
2.6 gallons×4 quarts1 gallon=2.6×4 quarts2.6 \, \text{gallons} \times \frac{4 \, \text{quarts}}{1 \, \text{gallon}} = 2.6 \times 4 \, \text{quarts}2.6gallons×1gallon4quarts=2.6×4quarts
- Cancel out the gallon units: The gallon unit cancels out, leaving you with quarts.
- Calculate the result: Multiply 2.6 by 4:
2.6×4=10.4 quarts2.6 \times 4 = 10.4 \, \text{quarts}2.6×4=10.4quarts
Conclusion:
So, 2.6 gallons is equivalent to 10.4 quarts. This is how you use a ratio (conversion factor) to change between units of measurement.
