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

1 Answer
Jan 14, 2017

See full simplification process below:

Explanation:

First, we will eliminate the negative sign:

(-54/-9)/3 -> (- -54/9)/3 -> (54/9)/3

Next, we can rewrite this as:

(54/9)/(3/1) because 3 and 3/1 are equivalent.

Now we can use the rule for dividing fractions:

(color(red)(a)/color(blue)(b))/(color(green)(c)/color(purple)(d)) = (color(red)(a) xx color(purple)(d))/(color(blue)(b) xx color(green)(c))

(54/9)/(3/1) -> (54 xx 1)/(9 xx 3) -> 54/27 = 2