Answer: We can cut 6 [tex]\dfrac23[/tex] sections out of each piece of wood.
Step-by-step explanation:
Given: A piece of wood is 4 feet long.
Number of [tex]\dfrac23[/tex] sections = [tex]4\div\dfrac23[/tex]
[tex]=4\times\dfrac{3}{2}\ \ \ \ [\because \dfrac{a}{b}\div\dfrac{c}{d}=\dfrac{a}{b}\times\dfrac{d}{c}]\\\\=2\times3\\\\=6[/tex]
i.e. Number of [tex]\dfrac23[/tex] sections = 6
Hence, we can cut 6 [tex]\dfrac23[/tex] sections out of each piece of wood.
