How do you convert 1.23 (23 being repeated) to a fraction?

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Answer 1 · 2016-03-16T04:47:14

#122/99#

We first let #1.23...# be #x#.

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

#100x = 123.23...#

Next, we subtract them.

#100x - x = 123.23... - 1.23...#

#99x = 122#

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

#x = 122/99#