If the car uses 3 1/8 gallons per hour and the number of hours is 4 2/3, we can multiply both values to find the total amount of gallons used in this time.
First, we need to convert 3 1/8 and 4 2/3 into improper fractions:
[tex]\begin{gathered} 4\text{ }\frac{2}{3}=4+\frac{2}{3}=\frac{12}{3}+\frac{2}{3}=\frac{14}{3}\\ \\ 3\text{ }\frac{1}{8}=3+\frac{1}{8}=\frac{24}{8}+\frac{1}{8}=\frac{25}{8} \end{gathered}[/tex]Now, multiplying the values, we have:
[tex]\frac{25}{8}\cdot\frac{14}{3}=\frac{350}{24}=14.58[/tex]So the car will use 14.58 gallons.