Here is the solution for this question:
[tex]\frac{5}{10} \times \frac{1}{2}[/tex]
= [tex]\frac{5}{20}[/tex]
Simplify.
= [tex]\frac{5\div5}{20\div5}[/tex]
[tex]=\boxed{\frac{1}{4}}[/tex]
Therefore, the simplest form of 5/10 x 1/2 is 1/4.
Hope it helps!