How do you convert 0.18 (18 being repeated) to a fraction?

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Answer 1 · 2016-03-16T04:37:03

#2/11#

We first let 0.18 be #x#.

Since #x# is recurring in 2 decimal places, we multiply it by 100.

#100x = 18.18#

Next, we subtract them.

#100x - x = 18.18 - 0.18#

#99x = 18#

Lastly, we divide both sides by 99 to get #x# as a fraction.

#x = 18/99#

#= 2/11#