4 5/7 divided by 3 2/3

Convert each number to a whole fraction:

4 5/7 = (4*7 + 5)/7 = (28+5)/7 = 33/7

3 2/3 = (3*3 + 2)/3 = (9 + 2)/3 = 11/3

33/7 / 11/3 = 33/7 * 3/11 = (33*3) / (7*11) = 99/77 = (9*11)/(7*11) = 9/7