Question

How do you convert a fraction to a decimal?

Answer 1

`("numerator")/("denominator")`

e.g. `1/10=0.1`

Answer 2

By long division.

Explanation:

Ultimately you can find a decimal expansion for any fraction of the form `a/b` for integers `a` and `b` by long division.

For example, consider `186/7`:

Eventually the remainders in long division will repeat. In this example, the remainder starts to repeat with the value `4` occurring for the second time.

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 `571428` indicates the repeating section.