Homework Help: math

Posted by Mike on Monday, July 11, 2011 at 10:32pm.

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 dont know the last step with the reciprocal. Could someone please help, thank you

math - Max, Monday, July 11, 2011 at 10:41pm
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 - Mike, Monday, July 11, 2011 at 10:44pm
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 dont know how that will look in the equation
math - Max, Monday, July 11, 2011 at 10:50pm
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 - Mike, Monday, July 11, 2011 at 10:52pm
thank you. It worked
math - Max, Monday, July 11, 2011 at 10:54pm
You're welcome.

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