Of the students that took a survey about after school activities,33 1/3 % said they watch television, 1/2 said they go to sports practice an

Question

Of the students that took a survey about after school activities,33 1/3 % said they watch television, 1/2 said they go to sports practice and the remaining said they do homework. What fraction represents the students that go homework.

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Eloise 1 month 2021-10-12T06:27:05+00:00 1 Answer 0 views 0

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    2021-10-12T06:29:01+00:00

    Answer:

    The fraction that represents the proportion of students that go make their homework is 1/6

    Step-by-step explanation:

    The sum of the percentage of students is 100% = 1.

    In this problem, we have that:

    1/3 said they watch television

    1/2 said they go to sports practice

    x said they do homework.

    This is a sum of fractions, and the lesser common multiple of 3 and 2 is 6.

    So

    \frac{1}{3} + \frac{1}{2} + x = 1

    \frac{2 + 3 + 6x}{6} = 1

    5 + 6x = 6

    6x = 1

    x = \frac{1}{6}

    The fraction that represents the proportion of students that go make their homework is 1/6

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