How do you convert 0.135 (135 being repeated) to a fraction?

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Answer 1 · 2016-03-16T04:48:49

#5/37#

We first let 0.135 be #x#.

Since #x# is recurring in 3 decimal places, we multiply it by 1000.

#1000x = 135.135#

Next, we subtract them.

#1000x - x = 135.135 - 0.135#

#999x = 135#

Lastly, we divide both sides by 999 to get #x# as a fraction.

#x = 135/999#

#= 5/37#