Solution:
To find the measure of each piece, divide the total piece of wood (2 2/3) by the number of pieces Antonio wants to cut (4).
From the following, we obtained:
[tex]\rightarrow 2 \dfrac{2}{3} \div 4[/tex]
Convert 2 2/3 into an improper fraction:
[tex]\rightarrow 2 \dfrac{2}{3} \div 4[/tex]
[tex]\rightarrow \dfrac{2 \times 3 + 2}{3} \div 4\\[/tex]
[tex]\rightarrow \dfrac{6 + 2}{3} \div 4\\[/tex]
[tex]\rightarrow \dfrac{8}{3} \div 4\\[/tex]
Simplifying the expression:
[tex]\rightarrow \dfrac{8}{3} \div 4\\[/tex]
[tex]\rightarrow \dfrac{8}{3} \times \dfrac{1}{4} \\[/tex]
[tex]\rightarrow \dfrac{8}{3 \times 4}[/tex]
[tex]\rightarrow \dfrac{8}{12} = \boxed{\dfrac{2}{3}}[/tex]
Thus, Antonio should cut 2/3 of wood for each piece.
