How do you convert 5.23 (23 being repeated) to a fraction?

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Answer 1 · 2016-03-17T04:33:53

#518/99#

We first let 5.23 be #x#.

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

#100x = 523.23#

Next, we subtract them.

#100x - x = 523.23 - 5.23#

#99x = 518#

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

#x = 518/99#