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. PLSS HELP

Answer 1

Answer:

$\frac{3}{8}$

Step-by-step explanation:

Let's tackle each statement at a time:

Jamal filled his gas tank of which he used $\frac{7}{16}$.

We need to express the unit (a gas tank) in terms of fractions so that we can substract $1-\frac{7}{16}$.

The denominator of the second term of our substraction is $16$, so we can express the first term as $\frac{16}{16}$. Now that we have the same denominator in both terms, we can proceed to define $16$ as a common denominator and rewrite the expression as: $\frac{16-7}{16}$, which gives us a result of $\frac{9}{16}$, which is what Jamal has left after visiting his grandfather. This expression cannot be simplified anymore.

Then, he used $\frac{1}{3}$ of the remaining $\frac{9}{16}$.

We express it as if he had $\frac{2}{3}$ of the remaining $\frac{9}{16}$.:

$\frac{9}{16} *\frac{2}{3}$

We multiply the terms:

$\frac{18}{48}$

And simplify:

$\frac{9}{24}$

$\frac{3}{8}$

So, at the end, Jamal has $\frac{3}{8}$ of his tank left.

Answer 2

11/48 because you have to find the closest common factor, and that is 48. Then, you have to multiply 7 by 3, and you get 21. Then, multiply 16 and 1. Your word problem should be 21/48 + 16/48. Then, find your sum, which is 37/48, and subtract 48/48 by 37/48. You should get 11/48 as your answer.