Question

How do you evaluate `-\frac { 3} { 4} \div ( - \frac { 11} { 12} )`?

Answer 1

See a solution process below:

Explanation:

First, rewrite the expression as:

`((-3)/4)/((11)/-12)`

Next, 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)(4))/(color(green)(11)/color(purple)(-12)) => (color(red)(-3) xx color(purple)(-12))/(color(blue)(4) xx color(green)(11)) => 36/(color(blue)(4) xx color(green)(11)) => (color(blue)(cancel(color(black)(36)))9)/(cancel(color(blue)(4)) xx color(green)(11)) => 9/11#