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godwin_ibrahim
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Tyro
Asked: 2020-11-14T15:14:36+00:00 In:

What is the reciprocal of \frac{\dfrac{1}{4}}{\dfrac{1}{3}+\dfrac{3}{4}}?

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What is the reciprocal of \frac{\dfrac{1}{4}}{\dfrac{1}{3}+\dfrac{3}{4}}?

fraction reciprocal

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  2. Sengemegz
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    This answer was edited.

    \dfrac{\dfrac{1}{4}}{\dfrac{1}{3}+\dfrac{3}{4}}
    \Rightarrow \dfrac{1}{4}\div \left ( \dfrac{1}{3}+\dfrac{3}{4} \right )
    work on the bracket first
    \dfrac{1}{4}\div \left (\dfrac{4+9}{12} \right )
    \Rightarrow \dfrac{1}{4}\div \left (\dfrac{13}{12} \right )
    change division to multiplication
    \Rightarrow \dfrac{1}{4}\times \dfrac{12}{13}
    \Rightarrow \dfrac{3}{13}
    the reciprocal of \dfrac{3}{13} is \dfrac{13}{3}

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