Answer: The required length of each piece of wood is [tex]\dfrac{3}{4}~\textup{feet}[/tex] or 9 inches.
Step-by-step explanation: Given that a piece of lumber is [tex]2\dfrac{1}{4}[/tex] feet long is to be cut into 3 equal pieces.
We are to find the length of each piece of wood in feet and in inches.
We will be using the UNITARY method to solve the given problem.
The length of 3 pieces of wood is equal to [tex]2\dfrac{1}{4}=\dfrac{9}{4}~\textup{feet}.[/tex]
Therefore, the length of each piece of wood will be
[tex]\dfrac{1}{3}\times\dfrac{9}{4}=\dfrac{3}{4}~\textup{feet}=\dfrac{3}{4}\times12~\textup{inches}=9~\textup{inches}.[/tex]
Thus, the required length of each piece of wood is [tex]\dfrac{3}{4}~\textup{feet}[/tex] or 9 inches.
The length of each piece of cut wood is 0.75 feet or 9 inches.
The lumber is 2¹/₄ feet long and needs to be divided into 3 equal pieces.
First thing you need to do is to convert the mixed fraction to a decimal which is:
= 2 + 1/4
= 2 + 0.25
= 2.25 feet
Now you can divide it into 3 with more ease:
= 2.25 / 3
= 0.75 feet each
You need to show the answer in inches as well so you convert the 0.75 feet to inches.
One foot is 12 inches so 0.75 feet will be:
= 0.75 x 12
= 9 inches
The length of each piece of cut wood will therefore be 0.75 feet or 9 inches.
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