If \[\frac{3}{4}\times \frac{5}{3}\times \frac{9}{5}\times \frac{a}{b}=\frac{9}{4}\], then the additive inverse of \[\frac{a}{b}\]is

• A. \[-\frac{1}{4}\]
• B. \[-\frac{1}{9}\]
• C. \[-\,1\]
• D. \[\frac{-4}{9}\]