Inverse of Grassmann variables

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Let $\theta$ be a Grassmann variable. I know that $1/\theta$ is not defined but $\frac{1}{1-\theta}=1+\theta$. My question is simple: is $\frac{1}{\bar{\theta}\theta}$ defined and if so how? My guess is that since $\bar{\theta}\theta$ is a commuting number then the inverse should exist but I am not sure.