How do you convert 0.23 (23 being repeated) to a fraction?

Question

51523 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-16T04:51:10

#23/99#

We first let 0.23 be #x#.

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

#100x = 23.23#

Next, we subtract them.

#100x - x = 23.23 - 0.23#

#99x = 23#

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

#x = 23/99#