Answer
$\frac{q+p}{pq-1}$
Work Step by Step
$\frac{p^{-1}+q^{-1}}{1-(pq)^{-1}}=\frac{p^{-1}+q^{-1}}{1-(pq)^{-1}}\times\frac{pq}{pq}=\frac{q+p}{pq-1}$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.