Question

How do you divide `3\div ( - 2/ 3)`?

Answer 1

See a solution process below:

Explanation:

We can rewrite this expression as:

`3 -: (-2/3) => 3/1 -: (-2)/3 => (3/1)/((-2)/3)`

We can now use this rule for dividing fractions to evaluate 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)(-2)/color(purple)(3)) => (color(red)(3) xx color(purple)(3))/(color(blue)(1) xx color(green)(-2)) => 9/-2 = -9/2#