For this case we have a mixed number given by:
[tex]6 \frac {3} {4} = \frac {6 * 4 + 3 * 1} {4} = \frac {27} {4}[/tex]
We make a rule of three to get the miles that the car can travel.
36 ---------> 1
x ------------> [tex]\frac {27} {4}[/tex]
Where "x" represents the variable that gives the number of miles that the car can travel with [tex]\frac{27}{4}[/tex]gallons of gasoline
[tex]x = \frac {\frac {27} {4} * 36} {1}\\x = 243[/tex]
So, the car can travel 243 miles
ANswer:
243 miles