Answer
$\dfrac{9}{14}$
Work Step by Step
Recall:
$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$
Thus,
$-\frac{1}{2} \div \left(-\frac{7}{9}\right)
\\=-\frac{1}{2} \times \left(-\frac{9}{7}\right)
\\=\frac{9}{14}$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 1 - Section 1.2 - Operations with Real Numbers and Simplifying Algebraic Expressions - Exercise Set - Page 27: 79
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