Turn all fractions to improper fractions.
5/4 + 5/3 + 6/5
Multiply all fractions by the lowest common denominator (the lowest number into which all of the bottom numbers divide evenly)
In this case it's 60
So multiply 5/4 by 15 to get 75/60
Multiply 5/3 by 20 to get 100/60
Multiply 6/5 by 12 to get 72/60
Now that all the denominators are the same, you can simply add the top numbers like you would do with any addition.
75 + 100 + 72 = 247
Therefore answer is 247/60 or 4 7/60