# How do you write #0.3666...# as a fraction? The #6# repeating.

##### 3 Answers

#### Explanation:

Put the number over 1( make denominator 1)

and multiply by 10 for every number after the decimal point.

as there is 5 numbers you have to multiply by 100000

=

=

and divide by the greatest factor, which is 2

=

=

See a solution process below:

#### Explanation:

First, we can write:

Next, we can multiply each side by

Then we can subtract each side of the first equation from each side of the second equation giving:

We can now solve for

#### Explanation:

There's nice algebraic trick to get rid of repeating tail:

If there's