[tex]\begin{gathered} \text{we can apply the rule of thre}e\text{ in this case:} \\ \frac{1}{2}\text{recipe -------}\frac{2}{3}\text{cups} \\ 1\text{ recipe ------- x cups} \\ \text{hence} \\ x=\frac{(1)(\frac{2}{3})}{\frac{1}{2}} \\ x=\frac{\frac{2}{3}}{\frac{1}{2}} \\ x=\frac{2\cdot2}{3\cdot1} \\ x=\frac{4}{3}\text{cups} \end{gathered}[/tex]
