# What is 0.12 divided by 8?

May 12, 2016

$0.015$

#### Explanation:

We can write the given expression in numbers, as $\frac{0.12}{8}$

Let's multiply and divide the fraction by 100.

$\frac{0.12 \textcolor{red}{\times 100}}{8 \textcolor{red}{\times 100}} = \frac{12}{8 \times 100}$

Now, we know that $12 = 3 \times 4$ and $8 = 2 \times 4$

We have, $\frac{3 \times 4}{2 \times 4 \times 100}$

Here, 4 is a common factor.

$\frac{3 \times \cancel{4}}{2 \times \cancel{4} \times 100}$

$= \frac{3}{2 \times 100}$

$= \frac{3}{200}$

Now, let's write this as a decimal number.

We need a multiple of 10 in the denominator.

$\textcolor{red}{200 \times 5 = 1000}$, which is a multiple of 10.

Next, multiply and divide the fraction by $5$.

$\frac{3 \times 5}{200 \times 5} = \frac{15}{1000}$

Any number can be written as a decimal.
Here, $15$ can be written as $15.0$

Three 0's in the denominator means 3 decimal points to the LEFT.

That gives us $\textcolor{red}{0.015}$, (add any extra 0's to the left of the number).