Answer:
The fraction of the tank is filled with gasoline is [tex]\frac{3}{8}[/tex].
Step-by-step explanation:
Consider the provided information.
Jamal filled his gas tank and then use 7/16 of the tank for traveling to visit his grandfather.
After his first traveling the amount of gas left can be calculated as:
[tex]1-\frac{7}{16}[/tex]
[tex]\frac{16-7}{16}[/tex]
[tex]\frac{9}{16}[/tex]
He then used 1/3 of the remaining gas in the tank to run around town.
That means he left with 2/3 of gas.
[tex]\frac{9}{16}\times \frac{2}{3}[/tex]
[tex]\frac{3}{8}[/tex]
Hence, the fraction of the tank is filled with gasoline is [tex]\frac{3}{8}[/tex].