According to the information given the recipe for 1 batch calls for 5/9 of a cup of chocolate chips, this can be written as a relation between the amount of batch that is going to be made, and the amount of chocolate chips required.
[tex]1batch\Rightarrow\frac{5}{9}\text{chocolatechi}ps[/tex]according to this
[tex]\frac{2}{3}\text{batch}\Rightarrow x[/tex]find the value of x
[tex]x=\frac{2}{3}\cdot\frac{5}{9}[/tex][tex]x=\frac{10}{27}[/tex]according to this the amount of chocolate chips needed is 10/27 of a cup.