Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

53 qts convert to gallons. which conversion factor would be needed? 2 p…

Question

53 qts convert to gallons. which conversion factor would be needed? 2 pints / 1 qt. × 1 qt. / 2 pints × 4 qts / 1 gallon × 1 gallon / 4 qts

Explanation:

Step1: Recall volume - unit conversion

We know that 1 gallon = 4 quarts. To convert quarts to gallons, we need a conversion factor that will cancel out the quarts unit and introduce the gallons unit.

Step2: Select the correct conversion factor

The conversion factor should have quarts in the denominator and gallons in the numerator so that when we multiply the number of quarts by the conversion factor, the quarts unit cancels out. The correct conversion factor is $\frac{1\text{ gallon}}{4\text{ qts}}$.

Answer:

$\frac{1\text{ gallon}}{4\text{ qts}}$