Find the modulus of $|z-5|/|1-3z|$ when z is given If $z = 3-2i$ then find $$\frac { \left| z-5 \right|  }{ \left| 1-3z \right|  } $$
I've substituted z by $|z|^2/z$ conjugate but still cant figure out what to do, 
Thanks in advance

$$\frac { \left| z-5 \right|  }{ \left| 1-3z \right|  } =\frac { \left| 3-2i-5 \right|  }{ \left| 1-9+6i \right|  } =\frac { \left| -2-2i \right|  }{ \left| -8+6i \right|  } =\frac { \sqrt { { 2 }^{ 2 }+{ 2 }^{ 2 } }  }{ \sqrt { { \left( -8 \right)  }^{ 2 }+{ 6 }^{ 2 } }  } =\frac { 2\sqrt { 2 }  }{ 10 } =\frac { \sqrt { 2 }  }{ 5 } $$
