# Math Help - 150 is 66 2/3 % of what number?

1. ## 150 is 66 2/3 % of what number?

150 is 66 2/3 % of what number?

31.5 is 33 1/3 % of what number?

2. Originally Posted by benjixbunn
150 is 66 2/3 % of what number?

31.5 is 33 1/3 % of what number?
What this question is asking is...

$66 \frac{2}{3}$% $= 66.67$% $=.6667 = 2/3$

$\Rightarrow x \times 2/3 = 150.$ Solve for $x.$ Then,

$\Rightarrow x = \frac{150}{2/3} = 225.$

Similarly,

$33 \frac{1}{3}$% $= 33.33$% $=.3333 = 1/3$

$\Rightarrow x \times 1/3 = 31.5.$ Solve for $x.$ Then,

$\Rightarrow x = \frac{31.5}{1/3} = 94.5.$

3. please help me, i dont understad the last steps, how do i get from the 150/ 2/3 to 225 and 31.5/ 1/3 to 94.5

4. $\frac{150}{2/3} = 150 \times \frac{3}{2} = \frac{450}{2}= 225$