math
posted by Mike on .
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

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. 
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

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 
thank you. It worked

You're welcome.