#### Answer

The statement is false.
To make it true,
replace "adding denominators" with "placing the sum over the common denominator"

#### Work Step by Step

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"