Elementary Algebra

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

Chapter 2 - Real Numbers - 2.1 - Rational Numbers: Multiplication and Division - Problem Set 2.1 - Page 49: 85

Answer

Each side of the square is $\frac{13}{6}$ yards

Work Step by Step

The total length of the four sides of a square is 8$\frac{2}{3}$, which equals $\frac{26}{3}$. To find how long each sided of the square is, we divide the total length of the four sides by four since all sides of the square are equal in length. $\frac{26}{3}$ $\div$ 4 = $\frac{26}{3}$ $\times$ $\frac{1}{4}$ = $\frac{26}{12}$ After factoring the numerator and the denominator, we obtain: $\frac{13 \times 2}{6 \times 2}$ Cancel the common factors in the numerator and the denominator to obtain: $\frac{13 \times 2}{6 \times 2}$ = $\frac{13}{6}$
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