## Basic College Mathematics (10th Edition)

Published by Pearson

# Chapter 2 - Multiplying and Dividing Fractions - Test - Page 194: 20

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.

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