Chapter 6.6, Problem 3OE

To determine

Simplify: the given expression as fraction.

Answer to Problem 3OE

The simplified form of $-5\frac{2}{9}$ is $-\frac{47}{9}$.

Explanation of Solution

Given information:

The expression $-5\frac{2}{9}$.

Formula used:

Any mixed fraction $a\frac{b}{c}$ is simplified as $\frac{\left(a\times c\right)+b}{c}$.

  $-5\frac{2}{9}$

Recall that any mixed fraction $a\frac{b}{c}$ is simplified as $\frac{\left(a\times c\right)+b}{c}$.

  $\begin{array}{l}=-\frac{\left(5\times 9\right)+2}{9}\\ =-\frac{45+2}{9}\\ =\boxed{-\frac{47}{9}}\end{array}$

The simplified form of $-5\frac{2}{9}$ is $-\frac{47}{9}$.