Here is how we should know if which fraction is greater than -7/12.
Firstly, -2/3 is equivalent to - 8/12. Which is obviously negative, then this is lesser than -7/12. Next is -3/4 which is equivalent to -9/12. Still, it is lesser. Next is -5/9 and is equivalent to -20/36. -7/12 is -21/36. Now this shows that -20/36 is greater than -21/36. Therefore, it is obviously, that the correct answer is option C. -5/9. Hope this answer helps.