66 2/3% of what number is 12?

2 Answers
May 6, 2016

#66 2/3%# is the same fraction as #2/3#

Let the number be #x# and form an equation.

#(66 2/3)/100 xx x = 12# #color(white)(xx) #

the question is asking 12 is two-thirds of which number?

#cancel(66 2/3)^2/cancel100^3 xx x = 12#

#2/3 xx x = 12#

#x = 12 xx 3/2#

#x = 18#

May 6, 2016

18

Explanation:

66 2/3%#-> 200/3-:100 -> 200/300 -> 2/3#

#=>2/3x=12#

#x=(3xx12)/2= 3xx6=18#