How do you convert 2.5 (5 being repeated) to a fraction?

Question

13860 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-18T03:51:35

#23/9#

We first let 2.5 (5 being repeated) be #x#.

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

#10x = 25.5#

Next, we subtract them.

#10x - x = 25.5 - 2.5#

#9x = 23#

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

#x = 23/9#