Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 6 - Section 6.1 - Rational Functions and Multiplying and Dividing Rational Expressions - Exercise Set - Page 347: 86

Answer

$\dfrac{x+7}{x}$ does not simplify to $7$. The numerator and the denominator have no common factors therefore the expression is already in simplest form.

Work Step by Step

Rational expression can be simplified if the numerator and the denominator have common factors that can be canceled. In the given expression, the numerator and the denominator have no common factors other than 1 therefore it is already in simplest form. The $x$'s cannot be canceled together since $x$ is just a term, not a factor, of the numerator.
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