Answer: The number of steps you can make is 5 pieces and [tex]\dfrac{35}{41}\ inch[/tex] is left over.
Step-by-step explanation:
Since we have given that
Length of pieces from the board to make ladder steps for a tree fort = [tex]20\dfrac{1}{2}\ inch=\dfrac{41}{2}[/tex]
Length of board = 120 inch
Number of pieces from the board to make ladder steps for a tree fort is given by
[tex]120\div \dfrac{41}{2}\\\\=120\times \dfrac{2}{41}\\\\=\dfrac{240}{41}\\\\=5\dfrac{35}{41}[/tex]
Hence, the number of steps you can make is 5 pieces and [tex]\dfrac{35}{41}\ inch[/tex] is left over.