How do you convert 0.12 (2 being repeated) to a fraction?

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Answer 1 · 2016-03-17T04:32:14

#11/90#

We first let 0.12 be #x#.

Since #x# is recurring in 2 decimal places, we multiply it by 10.

#10x = 1.22#

Next, we subtract them.

#10x - x = 1.22 - 0.12#

#9x = 1.1#

Lastly, we divide both sides by 9 to get #x# as a fraction.

#x = 1.1/9#

#= 11/90#