We want to have the mixed fraction turned into a improper fraction to make adding them both easier. We would change 5 2/8 to 42/8 and 2 4/10 to 24/10.
We now need to get them a common denominator. The LCM (least common multiple) of 8 and 10 is 40, so we multiply 42/8 by 5/5 getting us 210/40 and 24/10 by 4/4 to get 96/40.
Finally, we add them then simplify. 96/40 + 210/40 is 306/40. We then simplify that to 153/20.
