Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.7 - Simplifying Complex Fractions - Exercise Set - Page 548: 15

Answer

$\dfrac{-\dfrac{5}{12x^{2}}}{\dfrac{25}{16x^{3}}}=-\dfrac{4x}{15}$

Work Step by Step

$\dfrac{-\dfrac{5}{12x^{2}}}{\dfrac{25}{16x^{3}}}$ Evaluate the division and simplify: $\dfrac{-\dfrac{5}{12x^{2}}}{\dfrac{25}{16x^{3}}}=-\dfrac{5}{12x^{2}}\div\dfrac{25}{16x^{3}}=-\dfrac{(5)(16x^{3})}{(25)(12x^{2})}=-\dfrac{(5)(16)x}{(25)(12)}=...$ $...=-\dfrac{16x}{5(12)}=-\dfrac{4x}{15}$
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