How do you convert 0.2 (2 being repeated) to a fraction?

Question

130652 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-16T04:17:38

#2/9#

We let 0.2 be #x#.

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

#10x = 2.2#

Next, we subtract them.

#10x - x = 2.2 - 0.2#

#9x = 2#

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

#x = 2/9#