Question

In the following exercises, simplify each rational expression.

$-\frac{44}{55}$

Short answer

The simplest form of the given expression is$-\frac{4}{5}.$

Step-by-step solution

Step 1. Given information

The given expression is$-\frac{44}{55}$

Step 2. Simplify

$$\begin{gathered} -\frac{44}{55}=-\frac{2\times 2\times 11}{5\times 11}\text{Factorizenumeratoranddenominator} \\ =-\frac{2\times 2}{5}\text{Removecommonfactorsofnumeratoranddenominator} \\ =-\frac{4}{5}\text{Simplify} \end{gathered}$$

Hence,$-\frac{44}{55}=-\frac{4}{5}$.