Milnor and Tjurina numbers for a hypersurface germ with isolated singularity

Assume that $f:({\mathbb{C}}^n,0)\to (\mathbb{C},0)$ is an analytic function germ at the origin with only isolated singularity. Let $\mu$ and $\tau$ be the corresponding Milnor and Tjurina numbers. We show that $\dfrac{\mu}{\tau} \leq n$\mathrm{.}Asanapplication,wegivealowerboundfortheTjurinanumberintermsof$n$andthemultiplicityof$f$ at the origin.