Question

If q=fw/f+w, how do I solve for 'w'?

Answer 1

\[q=\frac{fw}{f+w}\] like that?

Answer 2

Yes

Answer 3

get rid of the denominator first, by rewriting as
\[q(f+w)=fw\]

Answer 4

then distribute on the left to get
\[qf+qw=fw\] subtract \(qw\) from both sides to get all the terms with a \(w\) on one side, get
\[qf=fw-qw\] factor out the \(w\) on the right
\[qf=w(f-q)\] then divide both sides by \(f-q\) to get \(w\) by itself
\[\frac{qf}{f-q}=w\]

Answer 5

Thanks a bunch for giving a detailed explanation and not just the answer.