To determine the number of cups she still needs to chop we need to subtract the amount she already chopped to the amount she needs, then we have the equation:
![x=3(2)/(3)-1(1)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/mau46xoywu5futosmipkphigmkb51cjnvg.png)
This can be written as:
![x+1(1)/(3)=3(2)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/3o5yzeksfyrltu7zkm5z1n3g5tyw8tdf3w.png)
Now, we solve it:
![\begin{gathered} x=3(2)/(3)-1(1)/(3) \\ x=(11)/(3)-(4)/(3) \\ x=(7)/(3) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/53jc4257fxu3khculh9gg01kwgxlf9wxy6.png)
Therefore she needs to chop 7/3 more cups of onions.