Answer
$-\frac{1}{11}$, 11
Work Step by Step
We are given that a number $a=\frac{1}{11}$.
We know that the opposite of a number $a$ is $-a$, so the opposite of $a=\frac{1}{11}$ will be $-a=-\frac{1}{11}$.
We know that the reciprocal of a nonzero number $a$ is the number $\frac{1}{a}$, where $a\times\frac{1}{a}=1$
$\frac{1}{a}=11$
$\frac{1}{11}\times11=1$