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)#