Answer
$3/x$
Work Step by Step
$\frac{\frac{2}{5}-\frac{1}{x}}{\frac{2x}{15}-\frac{1}{3}}$
$15x(\frac{\frac{2}{5}-\frac{1}{x}}{\frac{2x}{15}-\frac{1}{3}})$
$(6x - 15)/(2x^2-5x)$
$3(2x-5)/(2x^2-5x)$
$3(2x-5)/x(2x-5)$
$3/x*(2x-5)/(2x-5)$
$3/x$
Algebra: A Combined Approach (4th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321726391
ISBN 13:
978-0-32172-639-1
Chapter 7 - Section 7.7 - Simplifying Complex Fractions - Practice - Page 545: 3
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