# 66 2/3% of what number is 12?

May 6, 2016

66 2/3% is the same fraction as $\frac{2}{3}$

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

$\frac{66 \frac{2}{3}}{100} \times x = 12$ $\textcolor{w h i t e}{\times}$

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

${\cancel{66 \frac{2}{3}}}^{2} / {\cancel{100}}^{3} \times x = 12$

$\frac{2}{3} \times x = 12$

$x = 12 \times \frac{3}{2}$

$x = 18$

May 6, 2016

66 2/3%$\to \frac{200}{3} \div 100 \to \frac{200}{300} \to \frac{2}{3}$
$\implies \frac{2}{3} x = 12$
$x = \frac{3 \times 12}{2} = 3 \times 6 = 18$