Answer:
[tex]\huge\boxed{\sf \frac{-16}{147} }[/tex]
Step-by-step explanation:
Multiplicative Inverse of [tex]\sf 3\frac{1}{2} (\frac{7}{2} )[/tex] = [tex]\sf \frac{2}{7}[/tex]
Multiplicative inverse of any number is the reciprocal of that number.
Additive inverse of [tex]\sf 2\frac{5}{8}(\frac{21}{8} )[/tex] = [tex]\sf -\frac{21}{8}[/tex]
Additive Inverse of any number is the number that has the opposite sign.
Solution:
[tex]\sf \frac{2}{7} / - \frac{21}{8} \\\\\frac{2}{7} * - \frac{8}{21} \\\\= \frac{2*(-8)}{7*21} \\\\= \frac{-16}{147} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807
