# How do you simplify  [-54 / (-9)] / 3?

Jan 14, 2017

See full simplification process below:

#### Explanation:

First, we will eliminate the negative sign:

$\frac{- \frac{54}{-} 9}{3} \to \frac{- - \frac{54}{9}}{3} \to \frac{\frac{54}{9}}{3}$

Next, we can rewrite this as:

$\frac{\frac{54}{9}}{\frac{3}{1}}$ because $3$ and $\frac{3}{1}$ are equivalent.

Now we can use the rule for dividing fractions:

$\frac{\frac{\textcolor{red}{a}}{\textcolor{b l u e}{b}}}{\frac{\textcolor{g r e e n}{c}}{\textcolor{p u r p \le}{d}}} = \frac{\textcolor{red}{a} \times \textcolor{p u r p \le}{d}}{\textcolor{b l u e}{b} \times \textcolor{g r e e n}{c}}$

$\frac{\frac{54}{9}}{\frac{3}{1}} \to \frac{54 \times 1}{9 \times 3} \to \frac{54}{27} = 2$