Question

A piece of lumber is 2 1/4 feet long is to be cut into 3 equal pieces. How long will each piece of cut wood be? Give the measurement in feet and in inches.

Answer 1

Answer:  The required length of each piece of wood is $\dfrac{3}{4}~\textup{feet}$ or 9 inches.

Step-by-step explanation:  Given that a piece of lumber is $2\dfrac{1}{4}$ 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 $2\dfrac{1}{4}=\dfrac{9}{4}~\textup{feet}.$

Therefore, the length of each piece of wood will be

$\dfrac{1}{3}\times\dfrac{9}{4}=\dfrac{3}{4}~\textup{feet}=\dfrac{3}{4}\times12~\textup{inches}=9~\textup{inches}.$

Thus, the required length of each piece of wood is $\dfrac{3}{4}~\textup{feet}$ or 9 inches.

Answer 2

2 1/4 = 2 times 4 + 1 = 9/4 times by 1/3 = 4/12 simplest form is 3/4 inches