Question

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

Answer 1

The fraction of the tank is filled with gasoline is
`(3)/(8)`.

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:

`1-(7)/(16)`

`(16-7)/(16)`

`(9)/(16)`

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.

`(9)/(16)* (2)/(3)`

`(3)/(8)`

Hence, the fraction of the tank is filled with gasoline is
`(3)/(8)`.