Answer:
![(3)/(8)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/rjbgh935dloqjphzdri2hzyada1r09t9tr.png)
Explanation:
Let's tackle each statement at a time:
Jamal filled his gas tank of which he used
.
We need to express the unit (a gas tank) in terms of fractions so that we can substract
.
The denominator of the second term of our substraction is
, so we can express the first term as
. Now that we have the same denominator in both terms, we can proceed to define
as a common denominator and rewrite the expression as:
, which gives us a result of
, which is what Jamal has left after visiting his grandfather. This expression cannot be simplified anymore.
Then, he used
of the remaining
.
We express it as if he had
of the remaining
.:
![(9)/(16) *(2)/(3)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/9eometh63wbunrllkv1ufwlvqtsb8oiamo.png)
We multiply the terms:
![(18)/(48)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/flu7d38rq8lmuo3yoz9v7hg8249cxo8gg2.png)
And simplify:
![(9)/(24)](https://img.qammunity.org/2019/formulas/mathematics/college/xi7wt6hnvbnh2au1fk39t2v0ns521693ws.png)
![(3)/(8)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/rjbgh935dloqjphzdri2hzyada1r09t9tr.png)
So, at the end, Jamal has
of his tank left.