First, we change the two given fractions into improper fractions. 4 3/8 becomes 35/8, and 1 7/16 becomes 23/16. We have to make the denominators equal now, to add straight across. 35/8 becomes 70/16, because as long as both the numerator and the denominator multiply by the same number, the fraction is still the same. Now we can add straight across.
70/16 + 23/16 = 93/16
93/16 is the most simplified answer,