Jamal filled his gas tank and then use 7/16 of the tank for traveling to visit his grandfather. He then used 1/3 of the remaining gas in the tank to run errands around town. What fraction of the tank is filled with gasoline

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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].