math

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I need help with rearranging this equation to isolate c

a=b((1/c)-(1/d))


I got this (a/b)+(1/d)=(1/c) but I don't know the last step with the reciprocal. Could someone please help, thank you

  • math -

    First, write a/b + 1/d with a common denominator.

    ad/bd + b/bd
    (ad + b)/bd

    You can easily take the reciprocal from here.

  • math -

    the computer said my answer was correct like this (a/b)+(1/d)=(1/c) but I need to do the reciprocal of (1/c) and I don't know how that will look in the equation

  • math -

    Here is how the equation should look:

    a/b + 1/d = 1/c
    ad/bd + b/bd = 1/c
    (ad + b)/bd = 1/c

    Taking the reciprocal of both sides...

    bd/(ad + b) = c

  • math -

    thank you. It worked

  • math -

    You're welcome.

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