[tex] \frac{8}{15} [/tex]
My Work/Reasoning:
First we find the sum of 1/3 and 1/5. [tex] \frac{1}{3} + \frac{1}{5} = \frac{5}{15} + \frac{3}{15} = \frac{8}{15}[/tex]
Then, we find the multiplicative inverse, I guess it's also known as the reciprocal. [tex] \frac{8}{15}[/tex] turns into [tex] \frac{15}{8}[/tex]
Finally, we simplify. [tex] \frac{15}{8}=1 \frac{7}{8}[/tex]