You’ve got a “2” from step 1, and a “3/8” from step 2. Now, just combine them. That gives you 2 and 3/8. So, half of 4 and 3/4 is 2 3/8. Say it with me: two and three-eighths. Doesn’t that sound official?
Fractions Tutorial: Equivalent Fractions (Fourths and Halves) - YouTube
If you want to be extra fancy, you could write it as an improper fraction. That would be 19/8. But honestly, nobody talks like that at parties. Stick with 2 3/8—it’s friendlier.