Answer:
6 pieces
Step-by-step explanation:
The length of the whole piece of wood [tex]=12 \dfrac{1}{8}[/tex] feet
The length of each small piece of wood [tex]=1 \dfrac{13}{16}[/tex] feet
Find the number of pieces that can be cut:
[tex]12\dfrac{1}{8}:1\dfrac{13}{16}\\ \\=\dfrac{12\cdot 8+1}{8}:\dfrac{1\cdot 16+13}{16}\\ \\=\dfrac{97}{8}:\dfrac{29}{16}\\ \\=\dfrac{97}{8}\cdot \dfrac{16}{29}\\ \\=\dfrac{97\cdot 2}{29}\\ \\=\dfrac{194}{29}\\ \\=6\dfrac{20}{29}[/tex]
Therefore, 6 pieces of wood can be cut.
