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Math Help - fraction inside brackets

  1. #1
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    fraction inside brackets

    hi i need to simplify this, fraction inside brackets-untitled5.jpg but i don't know how to so can anyone help please?
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  2. #2
    Moo
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    Hello,

    \left(\frac 23\right)^{-1}=\frac{2^{-1}}{3^{-1}}=\dfrac{\frac 12}{\frac 13}=\frac 12 \cdot \frac{1}{\frac 13}=\frac 12\cdot 3=\frac 32

    (to show as many steps as possible
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  3. #3
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    Quote Originally Posted by Moo View Post
    Hello,

    \left(\frac 23\right)^{-1}=\frac{2^{-1}}{3^{-1}}=\dfrac{\frac 12}{\frac 13}=\frac 12 \cdot \frac{1}{\frac 13}=\frac 12\cdot 3=\frac 32

    (to show as many steps as possible

    i know a bit of that but i don't understand how fraction inside brackets-1.jpg, please explain
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  4. #4
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    Quote Originally Posted by andyboy179 View Post
    i know a bit of that but i don't understand how Click image for larger version. 

Name:	1.jpg 
Views:	16 
Size:	18.1 KB 
ID:	15293, please explain
    you should know

    \frac{a}{b} / \frac{c}{d}

    = \frac{a}{b} * \frac{d}{c}

    \rightarrow

    \frac{1}{2} / \frac{1}{3}

    =  \frac{1}{2} * \frac{3}{1}
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