How do you simplify #(1-(3/x) )/ ((x/12)-(1/4))#?
1 Answer
Oct 17, 2015
Explanation:
Your starting expression looks like this
#(1 - 3/x)/(x/12 - 1/4)#
Start by focusing on the numerator
#1 - 3/x#
which can be rewritten as
#1 - 3/x = 1 * x/x - 3/x = (x-3)/x#
The denominator can be written as
#x/12 - 1/4 = x/12 - 1/4 * 3/3 = (x-3)/12#
You know that you can write
#color(blue)(a/b = a * 1/b " , "b != 0)#
which means that you have
#color(red)(cancel(color(black)(x-3)))/x * 12/color(red)(cancel(color(black)(x-3))) = color(green)(12/x)#