2 4/9 divided by 8/15

First, change the mixed number into an improper fraction, getting 22/9 divided by 8/15. next, find the reciprocal, getting 22/9 divided by 15/8. cross out 22 and 8, changing it to 11/9 divided by 15/4, because 8 goes into both of those numbers. then, instead of dividing, multiply both fractions, then you get 165/36. finally, simplify the fraction, getting 4 21/36. you can simplify it again, changing it to 4 7/12