# 18 1/3% of 120 is what?

Apr 15, 2018

color(crimson)(18(1/3)% * 120 = 22

#### Explanation:

18(1/3)% * 120 = x

$x = \left(\frac{18 \left(\frac{1}{3}\right)}{100}\right) \cdot 120$

$x = \left(\frac{55}{3 \cdot 100}\right) \cdot 120$

$x = \left(\frac{11 \cdot \textcolor{red}{\cancel{5}}}{\textcolor{g r e e n}{\cancel{3}} \cdot \textcolor{b l u e}{\cancel{20}} \cdot \textcolor{red}{\cancel{5}}}\right) \cdot \left(\textcolor{g r e e n}{\cancel{3}} \cdot 2 \cdot \textcolor{b l u e}{\cancel{20}}\right) = \textcolor{b r o w n}{22}$

Apr 16, 2018

$22$

#### Explanation:

It is easier to ask this as:

"What is, or find, 18 1/3% of $120$

18 1/3% xx 120

=55/3 % xx 120/1

$= {\cancel{55}}^{11} / \left({\cancel{300}}^{\cancel{5}}\right) \times \frac{{\cancel{120}}^{2}}{1} \text{ } \leftarrow$ cancel by $60$ and then by $5$

$= 22$