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

Jun 11, 2016

I would start off by simplifying the fraction below.

#### Explanation:

$= \left(- \frac{9}{3}\right)$ = 3

And then divide -54 by -3 which will give you a positive answer of 18.

Did you manage to obtain 18?

Jun 11, 2016

$18$

#### Explanation:

Given,

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

Rewrite the expression as

$= - 54 \cdot - \frac{3}{9}$

... since dividing by a fraction is the same as multiplying by its reciprocal.

As $54$ and $9$ can be divided by a common factor of $\textcolor{red}{9}$, their values are reduced.

=-54color(red)(-:9)*-3/(9color(red)(-:9)

Simplify.

$= - 6 \cdot - \frac{3}{1}$

$= \textcolor{g r e e n}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{18} \textcolor{w h i t e}{\frac{a}{a}} |}}}$