To divide fractions, you have to multiply the first fraction by the reciprocal of the second one. The reciprocal of 5/9 is 9/5 so you have to multiply 2/3 by 9/5. This will give you 18/15. Since, 18/15 is an improper fraction, simplify it. It would give you 1 3/15. Simplify 3/15 to 1/5. Your answer would be 1 1/5.