First you must transform the mixed number to the improper fraction
[tex]6\dfrac{1}{2}=\dfrac{6\cdot2+1}{2}=\dfrac{13}{2}[/tex]
Divide by a some number is the same as multiplying by the reciprocal.
The reciprocal of 5 is [tex]\dfrac{1}{5}[/tex].
Therefore we have:
[tex]6\dfrac{1}{2}:5=\dfrac{13}{2}\cdot\dfrac{1}{5}=\dfrac{13\cdot1}{2\cdot5}=\dfrac{13}{10}=1\dfrac{3}{10}=1.3[/tex]
