Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 2 - Multiplying and Dividing Fractions - 2.4 Writing a Fraction in Lowest Terms - 2.4 Exercises - Page 136: 14

Answer

False

Work Step by Step

To determine whether each pair of fractions is equivalent, we can multiply $\frac{1}{2}$ by a factor of $\frac{6}{6}(=1)$ to ensure that both fractions have a denominator of 12. $\frac{1}{2}\times\frac{6}{6}=\frac{1\times6}{2\times6}=\frac{6}{12}\ne\frac{7}{12}$
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