1/3 of 6 1/2

(6 1/2)/3= 2 1/6

1/3*6 1/2

1/3*13/2=13/6=2 1/6. I think I am correct... Hopefully. 

$$\left({\frac{{\mathtt{1}}}{{\mathtt{3}}}}\right){\mathtt{\,\times\,}}{\mathtt{6.5}} = {\frac{{\mathtt{13}}}{{\mathtt{6}}}} = {\mathtt{2.166\: \!666\: \!666\: \!666\: \!666\: \!7}}$$