I need help with rearranging this equation to isolate c

Question

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

Answer 1

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.

Answer 2

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

Answer 3

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

Answer 4

thank you. It worked

Answer 5

You're welcome.