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

To simplify,. 1. Factor the numerator and the denominator completely. 2. Divide both the numerator and the denominator by any common factors. 7 is a factor of both the numerator and the denominator in $\displaystyle \frac{7}{14x}$, so dividing both by 7 can be done, but, it is not a factor of the denominator of $\displaystyle \frac{7}{14+x},$so for the second expression, this can not be done. Doesn't make sense.