## Introductory Algebra for College Students (7th Edition)

No. We do not add the denominators. For example, $\displaystyle \frac{1}{x}+\frac{1}{x}$ does not equal $\displaystyle \frac{1+1}{x+x}=\frac{2}{2x}=\frac{1}{x}$, but rather,$\qquad$ $\displaystyle \frac{1}{x}+\frac{1}{x}$= $\displaystyle \frac{1+1}{x}$ ... we add the numerators and place them over the common denominator $=\displaystyle \frac{2}{x}$ The statement is false. To make it true, replace "adding denominators" with "placing the sum over the common denominator"