How do you get from 4 22/15 to be 5 7/15. If some one can explain I keep breaking my head Thank you

4 + 22 / 15 = 4 + ( 15 + 7 ) / 15 =

4 + 15 / 15 + 7 / 15 = 4 + 1 + 7 / 15 =

5 + 7 / 15 = 5 7/15