# How do you simplify (a+2)/(2+a)?

Mar 10, 2018

Simplified, the answer is $1$.

#### Explanation:

The sum $2 + a$ is the same as $a + 2$, so:

$\textcolor{w h i t e}{=} \frac{a + 2}{2 + a}$

$= \frac{a + 2}{a + 2}$

$= 1$

Mar 10, 2018

In adding, the order is not important.

#### Explanation:

So $2 + a = a + 2$

And the 'problem' turns into:

$= \frac{a + 2}{a + 2} = 1$

Note:
The value of $a = - 2$ is forbidden, as this would lead to:

$\frac{0}{0}$, which is undefined. But you may pick $a$ as close to $- 2$ as you wish, and the answer will still be $1$