Answer
Each piece is $\frac{3}{2}$ feet long.
Work Step by Step
The board is 4$\frac{1}{2}$ feet long, or $\frac{9}{2}$ feet long.
He cuts it into three pieces of the same length.
So, to find the length of each piece, we divide $\frac{9}{2}$ by 3
$\frac{9}{2}$ $\div$ 3 =$\frac{9}{2}$ $\times$ $\frac{1}{3}$ =
$\frac{3\ \times\ 3}{2\ \times\ 3}$ =
$\frac{3}{2}$
Each piece is $\frac{3}{2}$ feet long.
