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Math Help - Word Problem Help

  1. #1
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    Unhappy Word Problem Help

    Troy has 3 1/3(mixed number) yards of speaker wire. He needs 1/6 yards of speaker wire to make one headphone cord extension. How many headphones chord extensions can he make.

    Here is what I did:
    -convert 3 1/3 into 10
    -divide 1 by 6 which gives me 0.166666667(infinite 6 but rounded)
    -divide 10 by 0.166666667 to find find answer
    -my face when what I got wasn't in the answers

    Answers:
    f) 6
    g) 11
    h)16
    i)20

    Tell me,MHF, how do you find the answer?
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  2. #2
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    Re: Word Problem Help

    \displaystyle \begin{align*} 3\,\frac{1}{3} &= \frac{9}{3} + \frac{1}{3} \\ &= \frac{10}{3} \\ &= \frac{20}{6} \end{align*}

    So how many sixths are there in twenty sixths? i.e. what is \displaystyle \begin{align*} \frac{20}{6} \div \frac{1}{6} \end{align*}?
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