To add these fractions, we first need to find a common denominator. In this case, the least common multiple of 24 and 5 is 24.

So, we rewrite the fractions with a common denominator of 24:

4/24 + 7/24

Now we can add the numerators:

4 + 7 = 11

So, the sum of 4/24 + 7/5 is 11/24.