Answer:
[tex]\bold {$\dfrac{7}{44}$}[/tex]
Step-by-step explanation:
Reciprocal:
[tex]\sf \text{The reciprocal of any number $\dfrac{a}{b}$ is given by $\dfrac{b}{a}$}\\\\5\dfrac{1}{2}=\dfrac{11}{2}\\\\\text{Reciprocal of $\dfrac{11}{2}$ = $\dfrac{2}{11}$}[/tex]
Additive inverse:
[tex]\text{Additive inverse of $\dfrac{-7}{8}$=$\dfrac{7}{8}$}[/tex]
Now multiply,
[tex]\sf \dfrac{7}{8}*\dfrac{2}{11}=\dfrac{7}{4}*\dfrac{1}{11}\\[/tex]
[tex]=\dfrac{7}{44}[/tex]
