Question

Find the reciprocal of each of the following.

$\frac{-11}{-13}.$

Answer 1

If there is a rational number $\frac{p}{q}$, then its reciprocal is $\frac{q}{p}.$

So, the reciprocal of $\frac{-11}{-13}$ is $\frac{13}{11}\left(\mathrm{Since},\frac{-13}{-11}=\frac{-13\times -1}{-11\times -1}=\frac{13}{11}\right)$