To add 5/8 and 3/10, we need to find a common denominator. The least common multiple of 8 and 10 is 40.
So, we rewrite the fractions with the common denominator of 40:
5/8 = 25/40
3/10 = 12/40
Now, add the fractions together:
25/40 + 12/40 = 37/40
Therefore, 5/8 + 3/10 = 37/40 in simplest form.