How do you convert 0.036 (36 being repeated) to a fraction?

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Answer 1 · 2016-03-16T04:11:15

#4/110#

We let 0.036 be #x#.

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

#100x = 3.636#

Next, we subtract them.

#100x - x = 3.636 - 0.036#

#99x = 3.6#

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

#x = 3.6/99#

#= 36/990#

#= 4/110#