Question

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

Short answer

Not correct.

Step-by-step solution

Step 1. Given information.

The following information is given:

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

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 $\frac{7}{2x}$.

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