Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.6 - Rational Expressions - Exercise Set - Page 87: 110


Does not make sense

Work Step by Step

We have the given rational expressions: $\frac{7}{14x}$ and $\frac{7}{14+x}$ Now, simplify the first rational expression: $\begin{align} & \frac{7}{14x}=\frac{7}{7\times 2\times x} \\ & =\frac{1}{2x} \end{align}$ Further simplify the second rational expression: $\frac{7}{14+x}$ The numerator and the denominator of the above rational expression do not have any common factors, so the above expression is already in its simplest form. So, the rational expressions $\frac{7}{14x}\ \text{ and }\ \frac{7}{14+x}$ cannot be simplified by dividing each numerator and each denominator by $7$. Thus, the given statement does not make sense.
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