# What is 12 divided by 0.15?

Jun 7, 2016

$12$ divided by $0.15$ is $\textcolor{g r e e n}{80}$

#### Explanation:

$\frac{12}{0.15}$
$\textcolor{w h i t e}{\text{XXX}} = \frac{1200}{15}$

$\textcolor{w h i t e}{\text{XXX}} = \frac{400}{5}$

$\textcolor{w h i t e}{\text{XXX}} = 80$

Jun 7, 2016

It is 80.

#### Explanation:

You can simply solve this using a calculator, but we are on Socratic, so we have to do something more fun!

The only good idea I had is to write $0.15$ as $\frac{15}{100}$.
Then you are asking how to do

$\frac{12}{\frac{15}{100}} = \frac{12 \cdot 100}{15}$.

Now we can simplify the common factors writing $12 = 3 \cdot 2 \cdot 2$, $100 = 2 \cdot 2 \cdot 5 \cdot 5$ and $15 = 3 \cdot 5$.

$\frac{12 \cdot 100}{15} = \frac{3 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5}{3 \cdot 5} = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5$

and, because I am very lazy, I know only how to do multiplications for 2 and for 10, so I write it as

$2 \cdot 2 \cdot 2 \cdot 10 = 8 \cdot 10 = 80$.