What is 2 2/3% of 60?

2 Answers
Aug 19, 2017

The answer is $1.6$.

Explanation:

This type of question can be translated from English to Math very easily. Each word/number has a direct equivalent in Math:

• "What" is your unknown; it is a variable like $x$.
• "is" represents equality; replace it with $=$.
• "2 2/3%" is a number. It stays the same.
• "of" is equivalent to multiplication. Replace "of" with $\times$.
• "$60$" is another number; it stays the same.

The whole sentence "What is 2 2/3% of $60$" then becomes

x=2 2/3% xx 60

Now, all we do is solve for $x$.

x=2 2/3% xx 60

$\textcolor{w h i t e}{x} = \frac{8}{3} \cdot \frac{1}{100} \times 60$

$\textcolor{w h i t e}{x} = \frac{8 \cdot 1 \cdot 60}{3 \cdot 100}$

$\textcolor{w h i t e}{x} = \frac{480}{300} \text{ "=" } 1.6$

Bonus:

There's a shortcut you can use for questions like this. First, figure out in your head what 1% of $60$ is by dividing $60 \div 100$ (this is $0.6$). Then use the following mental math:

1% of $60$ is $0.6$
2% of $60$ must be $1.2$ (that is, $2 \times 0.6$)
$\frac{2}{3}$ of $0.6$ is $0.4$, so 2/3% of $60$ must be $0.4$

$2 \frac{2}{3}$ is $2 + \frac{2}{3}$, so 2 2/3% of $60$ must be $1.2 + 0.4$, which is $1.6$

Aug 19, 2017

$1.6$

Explanation:

$2 \frac{2}{3} \approx 2.667$

100% is to $60$ as 2.667% is to $x$

(100%)/60=(2.667%)/x

100% xx x" "=" "2.667% xx 60

$x = 1.6$