Question

melissas cow gives 2\frac{1}{4} gallons milk each day. how much is this in quarts? write your answer as a whole number or a mixed number in simplest form. include the correct unit in your answer.

Explanation:

Step1: Recall the conversion factor

We know that 1 gallon (gal) is equal to 4 quarts (qt). So the conversion factor from gallons to quarts is \( 4\) qt/gal.

Step2: Convert the mixed number to an improper fraction

The amount of milk in gallons is \( 2\frac{1}{4}\) gallons. To convert this mixed number to an improper fraction, we use the formula \( a\frac{b}{c}=\frac{a\times c + b}{c}\). So \( 2\frac{1}{4}=\frac{2\times4 + 1}{4}=\frac{8 + 1}{4}=\frac{9}{4}\) gallons.

Step3: Multiply by the conversion factor

To find the amount in quarts, we multiply the number of gallons by the conversion factor. So we have \(\frac{9}{4}\text{ gal}\times4\text{ qt/gal}\). The gallons unit cancels out, and we are left with \(\frac{9}{4}\times4 = 9\) quarts.

Answer:

\(9\) quarts