Gallons and quarts

5 gallons 2 quarts − 1 gallon 3 quarts =

(Hint: 4 quarts equals 1 gallon. )

Result

x = gal (Correct answer is: 3 gal 3 quarts)

Step-by-step explanation:

$$\begin{gathered} a=5{\displaystyle \frac{2}{4}}=5+{\displaystyle \frac{2}{4}}={\displaystyle \frac{5\cdot 4+2}{4}}={\displaystyle \frac{22}{4}}={\displaystyle \frac{11}{2}}=5.5\text{ gal } \\ b=1{\displaystyle \frac{3}{4}}=1+{\displaystyle \frac{3}{4}}={\displaystyle \frac{1\cdot 4+3}{4}}={\displaystyle \frac{7}{4}}=1.75\text{ gal } \\ {x}_1=a-b=5.5-1.75={\displaystyle \frac{15}{4}}=3.75\text{ gal } \\ x=3gal3quarts \end{gathered}$$

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