How do you convert 0.1241 (41 being repeated) to a fraction?

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Answer 1 · 2016-03-16T04:21:28

#1229/9900#

We first let 0.1241 be #x#.

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

#100x = 12.4141#

Next, we subtract them.

#100x - x = 12.4141 - 0.1241#

#99x = 12.29#

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

#x = 12.29/99#

#= 1229/9900#