How do you simplify #-4 div 3/2#?

1 Answer
Feb 21, 2017

Answer:

See the entire simplification process below

Explanation:

First we can rewrite this expression as:

#-4 -: 3/2 = -4/1 -: 3/2 = ((-4)/1)/(3/2)#

We can use this rule for dividing fractions to complete the simplification:

#(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)(-4)/color(blue)(1))/(color(green)(3)/color(purple)(2)) = (color(red)(-4) xx color(purple)(2))/(color(blue)(1) xx color(green)(3)) = -8/3#