# How do you convert a fraction to a decimal?

##### 2 Answers

Apr 11, 2016

By long division.

#### Explanation:

Ultimately you can find a decimal expansion for any fraction of the form

For example, consider

Eventually the remainders in long division will repeat. In this example, the remainder starts to repeat with the value

That means that the quotient will start to repeat too and we find:

#186/7 = 26.57142857142857142857...#

which can be written:

#186/7 = 26.bar(571428)#

The bar over the sequence