Q. 5 - Intermediate Algebra

Question

In the following exercises, simplify each rational expression.

$-\frac{44}{55}$

Step-by-Step Solution

Answer

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

Step 1 . Given information

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

Step 2 . Simplify

$$\begin{gathered} -\frac{44}{55}=-\frac{2\times 2\times 11}{5\times 11} \text{ Factorize numerator and denominator} \\ =-\frac{2\times 2}{5} \text{ Remove common factors of numerator and denominator} \\ =-\frac{4}{5} \text{Simplify} \end{gathered}$$

Hence, $-\frac{44}{55}=-\frac{4}{5}$.