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

Step 1. Given information.

The following information is given:

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

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

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

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

Short Answer

Step by step solution

Step 1. Given information.

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

Step 3. Explanation.

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Donald thinks that3x+4xis72x. Is Donald correct? Explain.

Short Answer

Step by step solution

Step 1. Given information.

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

Step 3. Explanation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Mechanics Maths

Statistics

Calculus

Pure Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

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