Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 2 - Real Numbers - 2.2 - Addition and Subtraction of Rational Numbers - Problem Set 2.2: 97


Beth needs $\frac{17}{8}$ yards of fabric.

Work Step by Step

A 12'' round pillow needs $\frac{1}{2}$ yard of fabric An 18'' square pillow needs $\frac{3}{4}$ yard of fabric A 12'' $\times$ 16'' rectangular pillow needs $\frac{7}{8}$ yards of fabric To find how much fabric is needed, we add: $\frac{1}{2}$ + $\frac{3}{4}$ + $\frac{7}{8}$ = As we can see, the LCD is 8, so we need to make all the denominators 8: $\frac{1 \times 4}{2 \times 4}$ + $\frac{3 \times 2}{4 \times 2}$ + $\frac{7}{8}$ = $\frac{4}{8}$ + $\frac{6}{8}$ + $\frac{7}{8}$ = We add the numerators when the denominators are the same. $\frac{4 + 6 + 7}{8}$ = $\frac{17}{8}$ yards of fabric.
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