Question

How do you simplify `-3\div \frac { 1} { 9}`?

Answer 1

See a solution process below:

Explanation:

First, rewrite this expression as:

`-3 -: 1/9 => (-3)/1 -: 1/9 => ((-3)/1)/(1/9)`

Now, use this rule for dividing fractions to evaluate and simplify the expression:

`(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))`

`(color(red)(-3)/color(blue)(1))/(color(green)(1)/color(purple)(9)) => (color(red)(-3) xx color(purple)(9))/(color(blue)(1) xx color(green)(1)) => -27/1 => -27`