By taking the product of the two fractions we will see that the number that goes in the green box is a 6.
How to add two fractions?
We only can add two fractions if we have the same denominator in both of them, here we want to transform -2/3 in an equivalent fraction, such that the denominator is 9, so we multiply both the numerator and denominator by 3.
So we need to solve:
[tex]\frac{-2}{3}*\frac{3}{3} = \frac{-2*3}{3*3} = \frac{-6}{9}[/tex]
From that, we can conclude that the number that goes in the green box is 6.
If you want to learn more about fractions, you can read:
https://brainly.com/question/11562149