Given:
The left over part of a cake is,
[tex]\frac{1}{2}[/tex]We need to divide it among 5 people.
So, we have,
[tex]\begin{gathered} \frac{\frac{1}{2}}{5}=\frac{1}{2}\times\frac{1}{5} \\ =\frac{1}{10} \end{gathered}[/tex]Hence, the fraction of the whole cake would each person get is,
[tex]\frac{1}{10}[/tex]