How do you simplify $- \frac{54}{\frac{- 9}{3}}$ $-54 / [(-9) / 3]$ ?

Question

3156 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-06-11T01:09:31

I would start off by simplifying the fraction below.

$= (- \frac{9}{3})$ $= (-9/3)$ = 3

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

Did you manage to obtain 18?

Answer 2 · 2016-06-11T04:22:56

$18$ $18$

Given,

$- \frac{54}{- \frac{9}{3}}$ $-54/(-9/3)$

Rewrite the expression as

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

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

As $54$ $54$ and $9$ $9$ can be divided by a common factor of $9$ $color(red)9$ , their values are reduced.

$= - 54 \div 9 \cdot - \frac{3}{9 \div 9}$ $=-54color(red)(-:9)*-3/(9color(red)(-:9)$

Simplify.

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

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

How do you simplify -54 / [(-9) / 3]−54−93-54 / [(-9) / 3]?