If you want to make \(\dfrac{1}{2}\) of a batch and a bread recipe calls for \(\dfrac{1}{3}\) 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:
\(\dfrac{1}{3}\cdot \dfrac{1}{2}=\dfrac{1}{6}.\)
Answer: you need \(\dfrac{1}{6}\) cup od butter.