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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 7: Q147E. (page 669)

Donald thinks that $\frac{3}{x} + \frac{4}{x}$ is $\frac{7}{2 x}$ . Is Donald correct? Explain.

Short Answer

Expert verified

Not correct.

Step by step solution

01

Step 1. Given information.

The following information is given:

$\frac{3}{x} + \frac{4}{x}$ is equal to $\frac{7}{2 x}$ .

02

Step 2. Evaluating the left-hand side 3x+4x.

Since both the terms have a common LCD, the addition of the two terms will be

$\frac{3}{x} + \frac{4}{x} = \frac{3 + 4}{x}$

Simplifying

$\frac{3}{x} + \frac{4}{x} = \frac{7}{x}$

03

Step 3. Explanation.

$\frac{3}{x} + \frac{4}{x}$ is equal to $\frac{7}{x}$ instead of $\frac{7}{2 x}$ .

Donand's assumption, is, therefore, not correct.

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