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

2 Answers
Jun 11, 2016

I would start off by simplifying the fraction below.

Explanation:

= (-9/3) = 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,

-54/(-9/3)

Rewrite the expression as

=-54*-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 color(red)9, their values are reduced.

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

Simplify.

=-6*-3/1

=color(green)(|bar(ul(color(white)(a/a)color(black)(18)color(white)(a/a)|)))