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

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.

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andabps andabps · Answer 2 · 2019-09-18T03:49:03+02:00

Answer:

[tex]\frac{3}{8}[/tex]

Step-by-step explanation:

Let's tackle each statement at a time:

Jamal filled his gas tank of which he used [tex]\frac{7}{16}[/tex].

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

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

Then, he used [tex]\frac{1}{3}[/tex] of the remaining [tex]\frac{9}{16}[/tex].

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

[tex]\frac{9}{16} *\frac{2}{3}[/tex]

We multiply the terms:

[tex]\frac{18}{48}[/tex]

And simplify:

[tex]\frac{9}{24}[/tex]

[tex]\frac{3}{8}[/tex]

So, at the end, Jamal has [tex]\frac{3}{8}[/tex] of his tank left.