What is $2/11$ as a decimal?

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Answer 1 · 2017-02-23T00:00:19

$2/11 = 0.bar(18)$

You can find this by long dividing $2$ by $11$ , but here's another way:

Note that $99/11 = 9$

So:

$1/11 = (0.99999999...) / 11 = 0.09090909...$

and:

$2/11 = 2*1/11 = 2*0.09090909... = 0.18181818...$

A repeating decimal expansion can be represented by placing a bar over the repeating sequence of digits. So in our example:

$2/11 = 0.18181818... = 0.bar(18)$

What is 2/112/11 as a decimal?