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

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

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Answers ( No )

    0
    2021-09-19T04:57:57+00:00

    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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    2021-09-19T04:58:11+00:00

    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.

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