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"
