To add 4/7 and 1/8, we need to find a common denominator. The least common multiple of 7 and 8 is 56.
So, we rewrite the fractions with the common denominator of 56:
4/7 = 32/56
1/8 = 7/56
Now, add the fractions together:
32/56 + 7/56 = 39/56
Therefore, 4/7 + 1/8 = 39/56 in simplest form.