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Quoc Tran Anh Le Coordinator

07/08/2018 at 05:34
Answers
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Can you express this fraction in lowest terms?

\(\dfrac{1}{4+\dfrac{1}{4+\dfrac{1}{4+\dfrac{1}{4}}}}\)


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    Dao Trong Luan Coordinator 07/08/2018 at 06:14

    \(\dfrac{1}{4+\dfrac{1}{4+\dfrac{1}{4+\dfrac{1}{4}}}}=\dfrac{1}{4+\dfrac{1}{4+\dfrac{1}{\dfrac{17}{4}}}}=\dfrac{1}{4+\dfrac{1}{4+\dfrac{4}{17}}}=\dfrac{1}{4+\dfrac{1}{\dfrac{72}{17}}}=\dfrac{1}{4+\dfrac{17}{72}}=\dfrac{1}{\dfrac{305}{72}}=\dfrac{72}{305}\)

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    Nguyễn Phương Uyên 07/08/2018 at 06:14

    \(\dfrac{1}{4+\dfrac{1}{4+\dfrac{1}{4+\dfrac{1}{4}}}}\)

    \(=\dfrac{1}{4+\dfrac{1}{4+\dfrac{1}{\dfrac{17}{4}}}}\)

    \(=\dfrac{1}{4+\dfrac{1}{4+1\div\dfrac{17}{4}}}\)

    \(=\dfrac{1}{4+\dfrac{1}{4+\dfrac{4}{17}}}\)

    \(=\dfrac{1}{4+\dfrac{1}{\dfrac{72}{17}}}\)

    \(=\dfrac{1}{4+\dfrac{17}{72}}\)

    \(=\dfrac{1}{\dfrac{140}{17}}\)

    \(=\dfrac{17}{40}\)


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