How do you convert 0.23 (3 being repeated) to a fraction?

Question

3178 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-17T04:30:31

#7/30#

We first let 0.23 be #x#.

Since #x# is recurring in 1 decimal places, we multiply it by 10.

#10x = 2.33#

Next, we subtract them.

#10x - x = 2.33 - 0.23#

#9x = 2.1#

Lastly, we divide both sides by 9 to get #x# as a fraction.

#x = 2.1/9#

#= 21/90#

#= 7/30#