# How do you simplify (y-14)/(14-y)?

Aug 13, 2016

$- 1$

#### Explanation:

What we want here is the numerator to be 14 - y, so that it can be $\textcolor{b l u e}{\text{cancelled}}$ with the 14 - y on the denominator.

We can do this by factorising y - 14 as follows.

$y - 14 = - 1 \left(14 - y\right)$

$\Rightarrow \frac{y - 14}{14 - y} = \frac{- 1 \cancel{\left(14 - y\right)}}{\cancel{14 - y}} = - 1$