Answer
24 pieces
Work Step by Step
Given, to complete a custom-designed cabinet, oak trim pieces must be cut exactly 2$\frac{1}{4}$ inches long so that they can be used as dividers in a spice rack.
Step 1 We need to find the number of pieces that can be cut from a piece of oak that is 54 inches in length.
Step 2 We can solve the problem by finding the number of times 2$\frac{1}{4}$ inches i.e. $\frac{9}{4}$ can be cut from 54 inches
Step 3 Estimate a reasonable answer. Round gallon $\frac{9}{4}$ inches to 2 inches. In order to cut the 54 inch piece of oak, use the 2 inch 27 times so our estimate is 27 piece.
Step 4 Solve the problem
54 $\div$ $\frac{9}{4}$
Write 54 as $\frac{54}{1}$
= $\frac{54}{1}$ * $\frac{4}{9}$
=24 pieces
Step 5 State the answer. the number of pieces that can be cut from a piece of oak is 24
Step 6 Check. The exact answer, 24 pieces, is reasonably close to our estimate of 27 pieces.
