Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 3 - Adding and Subtracting Fractions - 3.2 Least Common Multiples - 3.2 Exercises: 32

Answer

$\frac{8}{12}$

Work Step by Step

In order to determine which fraction is equivalent to $\frac{2}{3}$, we must determine which fraction has a numerator of 8 when rewritten with a denominator of 12. 1. $\frac{7\times(\frac{12}{8})}{8\times(\frac{12}{8})}=\frac{\frac{84}{8}}{12}\ne\frac{2}{3}$ 2. $\frac{3\times3}{4\times3}=\frac{9}{12}\ne\frac{2}{3}$ 3. $\frac{12\times(\frac{12}{16})}{16\times(\frac{12}{16})}=\frac{\frac{144}{16}}{12}\ne\frac{2}{3}$ 4. $\frac{8\times(\frac{1}{4})}{12\times(\frac{1}{4})}=\frac{2}{3}$
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