First, Tamia cuts the 5 bell peppers into 20 slices each, 5 x 20 = <<5*20=100>>100 slices.
Then, she takes 1/2 of those to cut into smaller pieces, 100 / 2 = <<100/2=50>>50 slices to cut smaller.
Tamia takes each of those 50 slices and cuts them into 3 pieces each, 50 x 3 = <<50*3=150>>150.
Tamia is adding 50 slices + 150 smaller pieces = <<50+150=200>>200 pieces of bell pepper added to her meal.
#### 200