Bilinear forms taking values in $\mathbb{Q}/ \mathbb{Z}$

Question

If $V$ is a finite left module over a finite ring $R$, then a bilinear form on $V$ can be taken to have values in $\mathbb{Q} / \mathbb{Z}$?

Why is this true? Why do bilinear forms on $V$ have values in $\mathbb{Q} / \mathbb{Z}$ when $V$ is finite?