# How do you simplify 0.4 div 1.8?

Jul 11, 2016

$\frac{2}{9}$ or 0.2222222... written as $0. \dot{2}$
The fraction answer is exact and therefore better.

#### Explanation:

When working with decimals, you cannot divide BY a decimal.
Change the numbers to:

$\frac{0.4}{1.8} \times \frac{10}{10} = \frac{4}{18}$

$\frac{10}{10} = 1$ so by multiplying by 1, we are not changing the value of the numbers or the the division, only what they look like.

$\frac{4}{18} = \frac{2}{9}$

The answer can be left as $\frac{2}{9}$ which is an exact answer, or by dividing 2 by 9, we get the recurring decimal 0.222222.....

$\frac{2}{9}$ or 0.2222222... written as $0. \dot{2}$
The fraction answer is exact and therefore better.