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