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Math Help - Changing the subject involving division (2)

  1. #1
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    Derbyshire, central UK
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    Changing the subject involving division (2)

    Hi, I thought I could do this last question in my exercise book but I have gone wrong somewhere. Could someone show me where please?

    f=\frac{uv}{u+v}

    f(u+v)=uv

    fu+fv=uv

    fv=uv-fu

    \frac{fv}{v-f}=u-u
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  2. #2
    Junior Member
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    Johannesburg, South Africa
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    Quote Originally Posted by Meggomumsie View Post
    Hi, I thought I could do this last question in my exercise book but I have gone wrong somewhere. Could someone show me where please?

    f=\frac{uv}{u+v}

    f(u+v)=uv

    fu+fv=uv

    fv=uv-fu

    \frac{fv}{v-f}=u-u
    In the 4th step you make a mistake;

    fv=uv-fu

    fv=u(v-f)

    \frac{fv}{v-f}=u

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