Cookie Mixture Ratio

Jessica is baking cookies and needs to prepare a mixture of chocolate chips and peanut butter chips. She has a total of 3/4 cup of chocolate chips and 2/3 cup of peanut butter chips. To create her cookie mixture, she wants to use only the chocolate chips and peanut butter chips in a ratio of chocolate to peanut butter chips of 3:2.

How much of the cookie mixture will Jessica be able to create while maintaining this ratio? Express your answer as a fraction of a cup.