Before, I showed you how to convert fractions to decimals...  But, only for certain, special kinds of fractions!  These fractions had denominators that were only made up of 2's and 5's.

Like

To do these, you turned those denominators into powers of 10 to convert them to decimals.

Then, I told you that you needed another method to convert something like

So, here is that method!  (Aren't you excited?)

To convert these critters into decimals, we use long division to divide the numerator by the denominator:

Let's convert

to a decimal.

Set it up and you'll see that the 3 doesn't divide in right away...  So, we need to use our knowledge of decimal division!

 

Hey!  We're stuck in a repeating loop, aren't we?

Yep, these things always convert into repeating decimals!