First, write the mixed number as a simple fraction:
4 3/8 = (4x8+3) /8 = 35/8
Then divide it by the length of the pieces (1/8)
35/8 / ( 1/8)
To divide fractions multiply by the reciprocal of the second one.
35/8 x 8/1 = (35x8) / (8x1) = 280/8 = 35
Answer 35 pieces