If you want to make [tex]\dfrac{1}{2}[/tex] of a batch and a bread recipe calls for [tex]\dfrac{1}{3}[/tex] cup of butter, then you should multiply the fraction needed to make the whole batch by the fraction of a batch you want tot make:
[tex]\dfrac{1}{3}\cdot \dfrac{1}{2}=\dfrac{1}{6}.[/tex]
Answer: you need [tex]\dfrac{1}{6}[/tex] cup od butter.