Question

13 1/3 divide by 6 2/9 = 40/3 x9/56 ANSWER IS 2 1/7

Answer 1

13 1/3 divide by 6 2/9

13 1/3 = 40/3
6 2/9 = 56/9

Dividing is the same as multiplying by the reciprocal

(13 1/3)/(6 2/9) =
40/3 * 9/56 = 120/56 = 2 8/56 = 2 1/7

I'm not sure what your question was, but it appears that you arrived at the correct answer.