LaDanian wants to write the fraction 4/6 as the sum of unit fractions. What expression should he write?

No!

1/2 + 1/3 + 1/12 = 11/12 , not 4/6

These is sometimes called "Egyptian Fractions" where the numerators
are each equal to 1.

4/6 = 2/3
= 1/2 + 1/6

LaDanian should write 1/2 + 1/3 + 1/12.