# How do you divide .12 by 8?

Mar 11, 2018

See a solution process below:

#### Explanation:

We can write $0.12 \div 8$ as $\frac{0.12}{8}$

Next, we can multiply this by the appropriate form of $1$ to eliminate the decimal:

$\frac{10}{100} \times \frac{0.12}{8} \implies \frac{100 \times 0.12}{100 \times 8} \implies \frac{12}{800}$

We can now factor this and eliminate common terms giving:

$\frac{12}{800} \implies \frac{4 \times 3}{4 \times 200} \implies \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{4}}} \times 3}{\textcolor{red}{\cancel{\textcolor{b l a c k}{4}}} \times 200} \implies \frac{3}{200}$

We can now multiply this by another form of $1$ giving:

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

15 thousandths can be written as: $0.015$